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Volume contents and author index, volume 13 1989
elm
Theory, Methods & Applications Volume 13, 1989
Pergamon Oxford
- New
York-
Press Beijing
- Frankfurt
Sao Paulo- Sydney-Tokyo-Toronto
NONLINEAR ANALYSIS THEORY, METHODS & APPLICATIONS Editor:
Prof.
Technology,
Editorial
V. Lakshmikantham,
150 West
Secretary:
Umversity Donn
Department of Apphed Boulevard, Melbourne, FL
Mathematics, Florida 32901-6988, USA
Institute
of
Harmsh
HonoraryEditorial Board L Cesart, Untveratty of Mt~h~gan, Ann Arbor, ML USA E A C o d d l n g t o n , Untverwty o[ Cah[ornta, Los Angeles, CA, USA D G K e n d a l l , Cambrtdge Untverstty, Cambrtdge, UK
M A K r a s n o s e l s k n , lnstttute oJ Control Scten(e~, Moscow, USSR J L Lions, Collbge de France, Parts l e, Prance Ju A M l t r o p o l s k n , Dtre~tor o! the lnstttute of Mathematus, Ukramtan SSR )4eademy o/ S(ten(es, Repro Street-3, Kww-4, USSR
L N l r e n b e r g , New York UmversttvCourant, New York, N Y 10012, USA P A S a m u e l s o n , M I T Cambrtdge, MA, USA
Associate Editorial Board A h m a d , Umver~tty of Mtamt, Coral Gableg, FL 33124, USA H A m a n n , Mathematt~che~ lnstttut, Untversttat Zurtch, Ramtstr 74, CH8001 Zurtch, Swttzerland A A m b r o s e t t l , Clasw dt Sctenze, S(uola Normale Super~ore dt Ptsa, Ptazza Det Cavahert 7, 56100, Ptsa, Italy T B BenJamin, Mathematt(al Im'tttute, 2429 St Gdeg, O.rford, UK M S Berger, UmverstO' of Massachusetts, Amherst, MA 01003, USA H Brezis, 4 Place Jussteu, PartL France F E B r o w d e r , Rutgers UmverstO', New Brun~wwk, N J, USA J C h a n d r a , Army Research Office, Durham, NC, US~4 R Contl, Vta G B Amt(t 14/A, 50134, Ftrenze, Ital) G D a P r a t o , Classe dt Sctenze, Seuola Normale Supertore d~ Ptsa, Ptazza Det Cavahert 7, 56100, Ptsa, Ital)' K D e l m h n g , Fa(hberet(h 17 der Gesamthoehschule, Warburger Stras~e 100, D 4790 Paderborn, FRG S
R P Gilbert, Umverstty of Delaware, Newark, DE, USA J K Hale, Center [or Qvnaml(al Systems and Nonhnear Studte~, Georgm Im'tttute o[ Te.ehnolog) , Atlanta, GA 30332, USA T G Hallam, UmverslO' o[ Tenne~ree. Knox'vdle. TN 37916, USA S Leela. State Untvers'tt3 o! New York at Geneseo, NY, USA P - L Lions, Untverwt? de Part~ IXDauphme, plat e de LattredeTaJslgn), 75775 Part~ Cede~ 16, France K Masuda, Department of Mathematt(+, Facul O' of Setenee, Untver~t0 o[ Tokyo, Tokyo, 113, Japan J M a w h l n , Umversttb Cathohque de Louvam, Belgtum R May, Zoolog3 Department, Oxford Umverstty, OMord, OXI 3PS, UK J, B M c L e o d , Wadham College, O~'[ord, UK A Myshkls, Altu[evvcoy Shosw, Mos(o~t, USSR Z N a s h e d , Untver~tty o[ Delaware,
Newark, DE 19716, USA O d e n , Untvers'tty o[ Texas at 4u~ttn, Austin, TX 78712, USA C Olech, Im'O'tut Matematy(zny PAN, Warscawa, Poland P H RablnOWltZ, Mathemattcs Department, UmverstO' of WtwonsmMadt~on, Van Vleek Hall, 480 Ltn(oln Drtve, Madtson, WI 53706, USA W C R h e m b o l t , Department o! Mathematt~ ~ & Stattstt(s, Umverstty o[ Ptttvburgh, Pttt~'burgh, PA 15260, USA E Roxln, Department o/ Mathematt~s, UntverstO' o[ Rhode l~land, Kmgston, RI 02881, USA L Salvadorl, Dtparttmento ch Matemattea, Untversttgt degh Studt dt Trento, 38050 Povo, Trento, Italy M Scott, Sandta Corporatton, Albuquerque, NM, USA R T e m a m , Umver~tt~; de Part~ XI, 91405 Orsay, France C P T s o k o s , Untverstty of Southern Flortda, Tampa, FL. USA W Walter, Untver~ttat Karlsruhe, 75 Karlsruhe. FRG T
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Volume Contents V o l u m e 13 N u m b e r S. K KAUL
1
1
A semi-dynamical system assocmted with a general control
system J.TuRo
7
A boundary value problem for hyperbohc systems of dffferentml-funct~onal equauons
E. N. DANCER
19
A counterexample to the Lazer McKenna conjecture
A. FAVIN1 and P PLAZZI
23
On some abstract degenerate problems of parabohc type--2 The nonhnear case
C CORTAZAR and M. ELGUETA
33
Locahzatlon and boundedness of the solutions of the Neumann problem for a filtration equation
J.DUVALLET
43
A theorem of existence for &scontlnuous &fferenual systems with two point boundary condmons
A. F. ACKER and B KAWOHL
53
Remarks on quenching
J TS1NIAS
63
A Lyapunov description of stabdlty in control systems
S Huand
75
Periodic boundary value problems impulsive dlfferenual systems
87
On some nonconvex varmt~onal hemwarmt~onal mequalmes
V. LAKSHMIKANTHAM Z NAN1EW1CZ
for
second
problems
order
related
to
SOFTWARESU RVEY SECTION
CHEN YUNMEI
V o l u m e 13 N u m b e r 2 101 The hfe span of the solutions to Cauchy problems for nonhnear wave equations
J, M BORWEIN and H M STROJWAS
125
The hypertangent cone
SHEN ZUHE
145
On the perio&c solution to the Newtonlan equahon of motion
m. CAPOZZ1, D LUPO and S SOLIMINI
151
On the existence of a nontnvlal solution to nonhnear problems at resonance
J. M, RAKOTOSON
165
On some degenerate and nondegenerate quasdinear elliptic systems with nonhomogeneous Dmchlet boundary condmon
A. ALVINO, G. TROMBETTI
185
On optimization problems with prescribed rearrangements
and P. L LIONS SOFTWARE SURVEY SECTION
iu
Volume 13 Number 3 K P R SASTRY, S V R NA1DU and J R PRASAD
221
Common fixed points for mulumaps m a metric space
A. STAHEL
231
Hyperbohc mmal boundary value problems with nonhnear boundary condmons
T KACZYNSKIand
259
An applicanon of Ky-Fan fixed point theorem to an optlmlzauon problem
S AHMAD and A C LAZER
263
Asymptouc behavlour of solutions of periodic competmon diffusion system
R P GILBERTand WEN GUO-CHUN
285
Free boundary problems occurring m planar fluid dynamics
P CANNARSA and H. M. SONER
305
Generahzed one-sided estimates for soluuons of Hamilton Jacob~ equauons and appllcatmns
J A GOLDSTEIN, S (~)HARUand T TAKAHASHI
325
Semlhnear Hille-Yoslda theory the approximation theorem and groups of operators
NGUYI~N PHUONG CAC
341
On the number of solutions of an elllptm boundary value problem w~th jumping nonhneanty
V ZEIDAN
SOI~TWARESURVEY SECTION
Volume 13 N u m b e r 4
Au+)tuq-]u]4'l"-2)u=0
DONG ZHANG
353
Onmultlplesolutlonsof
L BOCCARDO, F MURAT
373
Existence results for some quasflinear parabohc equations
YONG-ZHUO CHEN
393
The generahzed degree for compact perturbations of maccreUve operators and apphcatmns
R R[ccI and D A. TARZIA
405
Asymptouc behavior of the soluuons of the dead-core problem
J W NEUBERGER
413
Constructive varlaUonal methods for differential equations
and J-P. PUEL
IV
P. TRACQU1, J. F STAUB and A. M. PERAULT-STAUB
429
Analysis of degenerate H o p f bifurcations for a nonlinear model of calcium metabohsm
L. WHITE and J T. ODEN
459
Dynamics and control of viscoelastic sohds with contact and friction effects
SOFTWARE SURVEY SECTION
Volume 13 Number 5 G. CICOGNA and G GAETA
475
M. S DREW, S C KLOSTER and J. D. GEGENBERG
489
Periodic soluuons from symmetry Lie group analysis and slmdanty solutions for the equation
021,1 02U Ox~-~ + Oy-~
O2(eu) +
OZ 2
--
0
H. IKEOA, M. MIMURA and Y.NISHIURA
507
Global bifurcation phenomena of travelhng wave solutions for some b~stable reaction diffusion systems
KUNG-CHING CHANG
527
On the periodic nonhneanty and the multiplicity of solutions
S RADULESCU and M. RADULESCU
539
Global unlvalence and global reversion theorems m Banach spaces
M.NAKAO
555
On some regularity of peno&c solutions of the wave equation with a nonlinear or degenerate dissipative term
A HARAUX
565
A remark on Holder continuity of periodic solutions to some nonhnear wave equations
V. H. MOLL
569
A note on M c K e a n ' s caricature for nerve conduction
J.-F. LEON and G.TARANTELLO
579
Breaking of symmetry for a minimization problem
YUAN JIANCHENG
589
Necessary and suffioent con&tions for existence of perlo&c solutions of n-dimensional dynamical systems
SOFTWARESURVEY SECTION
Volume
13 N u m b e r
6
N H1RANO
599
Nonlinear evolution perturbations
equations
M A HERRERO
611
A hmlt case in nonlinear dlffUslon
J - P PENOT
629
Metric regularity, openness and Llpschltzlan behavior of multi functions
M S MOULAY and M PIERRE
645
Regularizing effect for a nonlinear diffusion with Irregular source-term
S ELAYDI and S K KAUL
657
Asymptotic stability In general dynamical systems
H EGNELL, F PACELLA and M. TRICARICO
671
Some remarks on Sobolev inequalities
J SANTANILLA
683
Solvability of a nonhnear boundary value problem without Landesman Lazer condition
N. HIRANO
695
Existence of nontrlvlal equations
F. G1ANNONI
707
Periodic solutions of dynamical systems by a saddle point theorem of Rablnowltz
J -B H1RIART-URRUTY and A. SEEGER
721
Calculus rules on a new set--valued second order derivative for convex functions
solutions
with
nonmonotonlc
of semlhnear
elhptlc
SOFTWARE SURVEY SECTION
Volume
13 N u m b e r
7
I.GYORI
739
Existence and growth of oscillatory solutions of first order unstable type delay differential equations
A UNAL
753
An algebraic criterion for the onset of chaos in nonlinear dynamical systems
J. M. FRAILE and
767
General conditions for the existence of a "critical pointperiodic wave front" connection for reaction-&ffUSlOn systems
787
Singular perturbation theory applied to the electrochemistry equations in the case of electroneutrahty
J C SABINA
J. HENRY and B. LOURO
v1
R R. AKHMEROV
803
On periodic travelhng waves of equations with viscosity coefficient of variable sign
V LAKSHMIKANTHAMand XINZHI LIU
819
On quasi stability for impulsive differential systems
HUANG ZHENG MING
829
A necessary and sufficient condition for the existence of a solution to an operator equation
U. LEDZEWICZ-KOWALEWSKA
833
A necessary and sufficient condition for Altman's maximal element problem for constraint sets with many equalities
J. HULSHOF, D. TERMAN and F. VERHULST
841
Existence of stationary solutions in the coronal loop problem
C MARTINEZ-Y,~NEZ
857
A fixed point theorem on k-uniformly rotund spaces
R. SINE
863
Hyperconvexlty and approximate fixed points
R CHIAPPINELLI
871
On spectral asymptotlcs and bifurcation for elliptic operators with odd superhnear term
SOFTWARE SURVEY SECTION
Volume 13 N u m b e r 8 MOHAM MED GUEDDAand
879
Quaslhnear elhptlc equanons exponents
P. J RABIER
903
Generahzed Jordan chains and two bifurcation theorems of Krasnoselskll
A. KLARBRING,A MIKELI(, and M SHILLOR
935
On friction problems with normal comphance
R. MICHALEK
957
A 7/° Borsuk Ulam theorem and index theory with a mulnpllclty result m partial dlfferenual equauons
S. TOIARO
969
Mutual shading effect on algal d~stnbuUon a nonhnear problem
LAURENTVERON
VII
involving crlucal Sobolev
A. BRESSANand A. CORTESI
987
D~rectlonally continuous selecuons in Banach spaces
H I. FREEDMAN and V. TAKEUCHI
993
Global stablhty and predator dynamics m a model of prey &spersal m a patchy environment
SOFTWARE SURVEY SECTION
Volume
13 N u m b e r
9
L. QI
1003
The maximal normal operator space and integration of subdlfferentmls of nonconvex functions
F. A. HOWESand S SHAO
1013
Asymptotic analysis of model problems for a coupled system
P. EABRIE
1025
Regularity of the solution of Darcy Forchhelmer's equation
M. TSUTSUMI
1051
On smooth solutions to the initial-boundary value problem for the nonlinear Schr6dlnger equation in two space dimensions
1. MANDHYAN
1057
Examples of global normal forms for some simple nonlinear Integral operators
E. N BARRONand H. ISHII
1067
The Bellman equation for minimizing the m a x i m u m cost
A -K. DRANGEID
1091
The principle of llnearlzed stabJhty for quaslllnear parabolic evolution equauons
J. DA SILVA FERREIRA
1115
Asymptotic behawor of the solutions of a nonlinear system of Klein-Gordon equations
SOFTWARE SURVEY SECTION
Volume
13 N u m b e r
l0
PRIMO BRANDI and ANNA SALVADORI
1127
On the nonparametrlc integral over a BV surface
J. Q. LIu
1139
Nonlinear vibration of a beam
PIERLUIGI COLLI
1149
On a nonlinear and nonlocal evolution equation related to muscle contraction VII!
HIROYUKI USAMI
1163
On a singular elhpuc boundary value problem in a ball
GIOVANNI VIDOSSICH
1171
On the solvability of boundary value problems for higher order ordmary dffferentml equauons
V LAKSHMIKANTHAMa n d XINZHI LIU
1181
On asymptotxc stability for nonautonomous systems
NOBOYUKI KENMOCHI a n d IRENA PAWLOW
1191
Asymptotic behavlour of solunons to parabohc elhptlc variational mequahtleS
B. H GILDING
1215
Locahzauon of soluuons of a nonhnear Fokker Planck equauon w~th Dmchlet boundary condmons
OLIVIER REY
1241
A multlphoty result for a variational problem with lack of compactness
dffferentml
SOFTWARE SURVEY SECTION
Volume 13 Number 11 PttAM Htr,¢ DIFN a n d PHAM [-IUUSACH
1251
Further properties of the regularity of inclusion systems
F PAC ~RD
1269
Convergence of surfaces of prescribed mean curvature
N S PM'A(,iOR(,I()U
1283
Relaxauon of infinite dimensional control systems
Hllosul ]suu and
1295
A remark on a system of mequallues with bilateral obstacles
('ItlN-YVAN LIN
1303
Degenerate nonlinear parabolic boundary value problems
M KwApisz
1317
On the error evaluation of approximate solutions of discrete equations
F 1 NJOKt and F ZaNOI IN
1329
Posmve solutions multiphclty results
A P MoR(,a, N and
1339
A globally convergent polynomial systems
N \()KIY~MAI) ~.
L T WATSON
IX
for two-point
BVP's
parallel algorithm
existence and
for zeros of
HWAI-CHIUANWANG
1351
The generahzed Strauss compactness lemma and its apphcatmns on nonhnear elliptic problems
B TAN(;
1359
On the existence of periodic solutions m the hmlted Explodator model for the Belousov Zhabotmsku reaction
SOFFWARI St)RVF~ SE(TION
V o l u m e 13 N u m b e r 12 M. G. CRANDALLand P. E SOUGANIDIS
1375
On nonlinear equations of evolution
J. N. GLOVER
1393
Hopf bifurcations at infinity
S. CARL
1399
The monotone iteratwe technique for a parabolic boundary value problem with discontinuous nonlinearity
A ACKER
1409
Uniqueness and monotonlclty of solutions for the interior Bernoulli free boundary problem in the convex, n-dimensional case
B. LAFFERRIEREand W. V. PETRYSHYN
1427
Newposmve fixedpolnt and elgenvalue results forPr-compact maps and some apphcations
B. SCARPELLINI
1441
A class of singular boundary value problems
N. KUTEV
1475
On the solvabdlty of the Dlrlchlet problem for degenerate equations of Monge-Ampere type
SOFTWARE SURVEY SECTION
Title Page, Volume Contents and Author Index, Volume 13, 1989
Author Index Acker, A. 1409 Acker, A.F. 53 Ahmad, S. 263 Akhmerov, R.R. 803 Alvino, A. 185 Barton, E.N. 1067 Boccardo, L. 373 Borwein, J.M. 125 Brandi, P. 1127 Bressan, A. 987 Cannarsa, P. 305 Capozzi, A. 151 Carl, S. 1399 Chen Yunmei i01 Chiappinelli, R. 871 Chin-Yuan Lin 1303 Cicogna, G. 475 Colli, P. 1149 Cortazar, C. 33 Cortesi, A. 987 Crandall, M.G. 1375 Dancer, E.N. 19 Dong Zhang 353 Drangeid, A.-K. 1091 Drew, M.S. 489 Duvallet, J. 43
Glover, J.N. 1393 Goldstein, J.A. 325 Guedda, M. 879 Gyori, I. 739 Haraux, A. 565 Henry, J. 787 Herrero, M.A. 611 Hirano, N. 599, 695 721 Hiriart-Urruty, J.-B. Howes, F.A. 1013 Hu, S. 75 Huang Zheng Ming 829 Hulshof, J. 841 Hwai-Chluan Wang 1351 Ikeda, H. Ishii, H.
507 1067, 1295
Kaczynski, T. 259 Kaul, S.K. I, 657 Kawohl, B. 53 Kenmochi, N. 1191 Klarbring, A. 935 Kloster, S.C. 489 Kung-Ching Chang 527 Kutev, N. 1475 Kwapisz, M. 1317
Fabrie, P. 1025 Favini, A. 23 Fraile, J.M. 767 Freedman, H.I. 993
Lafferriere, B. 1427 Lakshmikantham, V. 75, 819, 1181 Lazer, A.C. 263 Ledzewicz-Kowalewska, U. 833 Leon, J.-F. 579 Lions, P.L. 185 Liu, J.Q. 1139 Louro, B. 787 Lupo, D. 151
Gaeta, G. 475 Gegenberg, J.D. 489 Giannonl, F. 707 Gilbert, R.P. 285 Gilding, B.H. 1215
Mandhyan, I. 1057 Mart~nez-Y~nez, C. Michalek, R. 957 Mikeli~, A. 935 Mimura, M. 507
Egnell, H. Elaydi, S. Elgueta, M.
671 657 33
857
Moll, V.H. 569 Morgan, A.P. 1339 Moulay, M.S. 645 Murat, F. 373 Naidu, S.V.R. 221 Nakao, M. 555 Naniewicz, Z. 87 Neuberger, J.W. 413 4 Nguyen Phuong Cac 341 Nishiura, Y. 507 Njoku, F.I. 1329 Oden, J.T. ~haru, S.
459 325
Pacard, F. 1269 Pacella, F. 671 Papageorgiou, N.S. 1283 Pawlow, I. 1191 Penot, J.-P. 629 Perault-Staub, A.M. 429 Petryshyn, W.V. 1427 Pham Huu Sach 1251 Pham Huy Dien 1251 Pierre, M. 645 Plazzi, P. 23 Prasad, J.R. 221 Puel, J.-P. 373 Qi, L.
1003
Rabier, P.J. 903 Radulescu, M. 539 V Radulescu, S. 539 Rakotoson, J.M. 165 Rey, O. 1241 Ricci, R. 405 Sabina, J.C. 767 Salvadori, A. 1127 Santanilla, J. 683 Sastry, K.P.R. 221 Scarpellini, B. 1441 Seeger, A. 721
Shao, S. 1013 Shen Zuhe 145 Shillor, M. 935 1115 Silva Ferreira, J. da Sine, R. 863 Solimini, S. 151 Soner, H.M. 305 Souganidis, P.E. 1375 Stahel, A. 231 Staub, J.F. 429 Strojwas, H.M. 125 Takahashi, T. 325 Takeuchi, Y. 993 Tang, B. 1359 Tarantello, G. 579 Tarzia, D.A. 405 Terman, D. 841 Totaro, S. 969 Tracqui, P. 429 Tricarico, M. 671 Trombetti, G. 185 Tsinias, J. 63 Tsutsumi, M. 1051 Turo, J. 7 Unal, A. Usami, H.
753 1163
Verhulst, F. 841 Veron, L. 879 Vidossich, G. 1171 Watson, L.T. 1339 Wen Guo-Chun 285 White, L. 459 Xinzhi Liu
819, 1181
Yamada, N. 1295 Yong-Zhuo Chen 393 Yuan Jiancheng 589 Zanolin, F. Zeidan, V.
PRINTED IN GREAT BRITAIN AT ABERDEEN UNIVERSITY PRESS
1329 259 239
Theory, Methods & Applications Volume 13, 1989
Pergamon Oxford
- New
York-
Press Beijing
- Frankfurt
Sao Paulo- Sydney-Tokyo-Toronto
NONLINEAR ANALYSIS THEORY, METHODS & APPLICATIONS Editor:
Prof.
Technology,
Editorial
V. Lakshmikantham,
150 West
Secretary:
Umversity Donn
Department of Apphed Boulevard, Melbourne, FL
Mathematics, Florida 32901-6988, USA
Institute
of
Harmsh
HonoraryEditorial Board L Cesart, Untveratty of Mt~h~gan, Ann Arbor, ML USA E A C o d d l n g t o n , Untverwty o[ Cah[ornta, Los Angeles, CA, USA D G K e n d a l l , Cambrtdge Untverstty, Cambrtdge, UK
M A K r a s n o s e l s k n , lnstttute oJ Control Scten(e~, Moscow, USSR J L Lions, Collbge de France, Parts l e, Prance Ju A M l t r o p o l s k n , Dtre~tor o! the lnstttute of Mathematus, Ukramtan SSR )4eademy o/ S(ten(es, Repro Street-3, Kww-4, USSR
L N l r e n b e r g , New York UmversttvCourant, New York, N Y 10012, USA P A S a m u e l s o n , M I T Cambrtdge, MA, USA
Associate Editorial Board A h m a d , Umver~tty of Mtamt, Coral Gableg, FL 33124, USA H A m a n n , Mathematt~che~ lnstttut, Untversttat Zurtch, Ramtstr 74, CH8001 Zurtch, Swttzerland A A m b r o s e t t l , Clasw dt Sctenze, S(uola Normale Super~ore dt Ptsa, Ptazza Det Cavahert 7, 56100, Ptsa, Italy T B BenJamin, Mathematt(al Im'tttute, 2429 St Gdeg, O.rford, UK M S Berger, UmverstO' of Massachusetts, Amherst, MA 01003, USA H Brezis, 4 Place Jussteu, PartL France F E B r o w d e r , Rutgers UmverstO', New Brun~wwk, N J, USA J C h a n d r a , Army Research Office, Durham, NC, US~4 R Contl, Vta G B Amt(t 14/A, 50134, Ftrenze, Ital) G D a P r a t o , Classe dt Sctenze, Seuola Normale Supertore d~ Ptsa, Ptazza Det Cavahert 7, 56100, Ptsa, Ital)' K D e l m h n g , Fa(hberet(h 17 der Gesamthoehschule, Warburger Stras~e 100, D 4790 Paderborn, FRG S
R P Gilbert, Umverstty of Delaware, Newark, DE, USA J K Hale, Center [or Qvnaml(al Systems and Nonhnear Studte~, Georgm Im'tttute o[ Te.ehnolog) , Atlanta, GA 30332, USA T G Hallam, UmverslO' o[ Tenne~ree. Knox'vdle. TN 37916, USA S Leela. State Untvers'tt3 o! New York at Geneseo, NY, USA P - L Lions, Untverwt? de Part~ IXDauphme, plat e de LattredeTaJslgn), 75775 Part~ Cede~ 16, France K Masuda, Department of Mathematt(+, Facul O' of Setenee, Untver~t0 o[ Tokyo, Tokyo, 113, Japan J M a w h l n , Umversttb Cathohque de Louvam, Belgtum R May, Zoolog3 Department, Oxford Umverstty, OMord, OXI 3PS, UK J, B M c L e o d , Wadham College, O~'[ord, UK A Myshkls, Altu[evvcoy Shosw, Mos(o~t, USSR Z N a s h e d , Untver~tty o[ Delaware,
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Volume Contents V o l u m e 13 N u m b e r S. K KAUL
1
1
A semi-dynamical system assocmted with a general control
system J.TuRo
7
A boundary value problem for hyperbohc systems of dffferentml-funct~onal equauons
E. N. DANCER
19
A counterexample to the Lazer McKenna conjecture
A. FAVIN1 and P PLAZZI
23
On some abstract degenerate problems of parabohc type--2 The nonhnear case
C CORTAZAR and M. ELGUETA
33
Locahzatlon and boundedness of the solutions of the Neumann problem for a filtration equation
J.DUVALLET
43
A theorem of existence for &scontlnuous &fferenual systems with two point boundary condmons
A. F. ACKER and B KAWOHL
53
Remarks on quenching
J TS1NIAS
63
A Lyapunov description of stabdlty in control systems
S Huand
75
Periodic boundary value problems impulsive dlfferenual systems
87
On some nonconvex varmt~onal hemwarmt~onal mequalmes
V. LAKSHMIKANTHAM Z NAN1EW1CZ
for
second
problems
order
related
to
SOFTWARESU RVEY SECTION
CHEN YUNMEI
V o l u m e 13 N u m b e r 2 101 The hfe span of the solutions to Cauchy problems for nonhnear wave equations
J, M BORWEIN and H M STROJWAS
125
The hypertangent cone
SHEN ZUHE
145
On the perio&c solution to the Newtonlan equahon of motion
m. CAPOZZ1, D LUPO and S SOLIMINI
151
On the existence of a nontnvlal solution to nonhnear problems at resonance
J. M, RAKOTOSON
165
On some degenerate and nondegenerate quasdinear elliptic systems with nonhomogeneous Dmchlet boundary condmon
A. ALVINO, G. TROMBETTI
185
On optimization problems with prescribed rearrangements
and P. L LIONS SOFTWARE SURVEY SECTION
iu
Volume 13 Number 3 K P R SASTRY, S V R NA1DU and J R PRASAD
221
Common fixed points for mulumaps m a metric space
A. STAHEL
231
Hyperbohc mmal boundary value problems with nonhnear boundary condmons
T KACZYNSKIand
259
An applicanon of Ky-Fan fixed point theorem to an optlmlzauon problem
S AHMAD and A C LAZER
263
Asymptouc behavlour of solutions of periodic competmon diffusion system
R P GILBERTand WEN GUO-CHUN
285
Free boundary problems occurring m planar fluid dynamics
P CANNARSA and H. M. SONER
305
Generahzed one-sided estimates for soluuons of Hamilton Jacob~ equauons and appllcatmns
J A GOLDSTEIN, S (~)HARUand T TAKAHASHI
325
Semlhnear Hille-Yoslda theory the approximation theorem and groups of operators
NGUYI~N PHUONG CAC
341
On the number of solutions of an elllptm boundary value problem w~th jumping nonhneanty
V ZEIDAN
SOI~TWARESURVEY SECTION
Volume 13 N u m b e r 4
Au+)tuq-]u]4'l"-2)u=0
DONG ZHANG
353
Onmultlplesolutlonsof
L BOCCARDO, F MURAT
373
Existence results for some quasflinear parabohc equations
YONG-ZHUO CHEN
393
The generahzed degree for compact perturbations of maccreUve operators and apphcatmns
R R[ccI and D A. TARZIA
405
Asymptouc behavior of the soluuons of the dead-core problem
J W NEUBERGER
413
Constructive varlaUonal methods for differential equations
and J-P. PUEL
IV
P. TRACQU1, J. F STAUB and A. M. PERAULT-STAUB
429
Analysis of degenerate H o p f bifurcations for a nonlinear model of calcium metabohsm
L. WHITE and J T. ODEN
459
Dynamics and control of viscoelastic sohds with contact and friction effects
SOFTWARE SURVEY SECTION
Volume 13 Number 5 G. CICOGNA and G GAETA
475
M. S DREW, S C KLOSTER and J. D. GEGENBERG
489
Periodic soluuons from symmetry Lie group analysis and slmdanty solutions for the equation
021,1 02U Ox~-~ + Oy-~
O2(eu) +
OZ 2
--
0
H. IKEOA, M. MIMURA and Y.NISHIURA
507
Global bifurcation phenomena of travelhng wave solutions for some b~stable reaction diffusion systems
KUNG-CHING CHANG
527
On the periodic nonhneanty and the multiplicity of solutions
S RADULESCU and M. RADULESCU
539
Global unlvalence and global reversion theorems m Banach spaces
M.NAKAO
555
On some regularity of peno&c solutions of the wave equation with a nonlinear or degenerate dissipative term
A HARAUX
565
A remark on Holder continuity of periodic solutions to some nonhnear wave equations
V. H. MOLL
569
A note on M c K e a n ' s caricature for nerve conduction
J.-F. LEON and G.TARANTELLO
579
Breaking of symmetry for a minimization problem
YUAN JIANCHENG
589
Necessary and suffioent con&tions for existence of perlo&c solutions of n-dimensional dynamical systems
SOFTWARESURVEY SECTION
Volume
13 N u m b e r
6
N H1RANO
599
Nonlinear evolution perturbations
equations
M A HERRERO
611
A hmlt case in nonlinear dlffUslon
J - P PENOT
629
Metric regularity, openness and Llpschltzlan behavior of multi functions
M S MOULAY and M PIERRE
645
Regularizing effect for a nonlinear diffusion with Irregular source-term
S ELAYDI and S K KAUL
657
Asymptotic stability In general dynamical systems
H EGNELL, F PACELLA and M. TRICARICO
671
Some remarks on Sobolev inequalities
J SANTANILLA
683
Solvability of a nonhnear boundary value problem without Landesman Lazer condition
N. HIRANO
695
Existence of nontrlvlal equations
F. G1ANNONI
707
Periodic solutions of dynamical systems by a saddle point theorem of Rablnowltz
J -B H1RIART-URRUTY and A. SEEGER
721
Calculus rules on a new set--valued second order derivative for convex functions
solutions
with
nonmonotonlc
of semlhnear
elhptlc
SOFTWARE SURVEY SECTION
Volume
13 N u m b e r
7
I.GYORI
739
Existence and growth of oscillatory solutions of first order unstable type delay differential equations
A UNAL
753
An algebraic criterion for the onset of chaos in nonlinear dynamical systems
J. M. FRAILE and
767
General conditions for the existence of a "critical pointperiodic wave front" connection for reaction-&ffUSlOn systems
787
Singular perturbation theory applied to the electrochemistry equations in the case of electroneutrahty
J C SABINA
J. HENRY and B. LOURO
v1
R R. AKHMEROV
803
On periodic travelhng waves of equations with viscosity coefficient of variable sign
V LAKSHMIKANTHAMand XINZHI LIU
819
On quasi stability for impulsive differential systems
HUANG ZHENG MING
829
A necessary and sufficient condition for the existence of a solution to an operator equation
U. LEDZEWICZ-KOWALEWSKA
833
A necessary and sufficient condition for Altman's maximal element problem for constraint sets with many equalities
J. HULSHOF, D. TERMAN and F. VERHULST
841
Existence of stationary solutions in the coronal loop problem
C MARTINEZ-Y,~NEZ
857
A fixed point theorem on k-uniformly rotund spaces
R. SINE
863
Hyperconvexlty and approximate fixed points
R CHIAPPINELLI
871
On spectral asymptotlcs and bifurcation for elliptic operators with odd superhnear term
SOFTWARE SURVEY SECTION
Volume 13 N u m b e r 8 MOHAM MED GUEDDAand
879
Quaslhnear elhptlc equanons exponents
P. J RABIER
903
Generahzed Jordan chains and two bifurcation theorems of Krasnoselskll
A. KLARBRING,A MIKELI(, and M SHILLOR
935
On friction problems with normal comphance
R. MICHALEK
957
A 7/° Borsuk Ulam theorem and index theory with a mulnpllclty result m partial dlfferenual equauons
S. TOIARO
969
Mutual shading effect on algal d~stnbuUon a nonhnear problem
LAURENTVERON
VII
involving crlucal Sobolev
A. BRESSANand A. CORTESI
987
D~rectlonally continuous selecuons in Banach spaces
H I. FREEDMAN and V. TAKEUCHI
993
Global stablhty and predator dynamics m a model of prey &spersal m a patchy environment
SOFTWARE SURVEY SECTION
Volume
13 N u m b e r
9
L. QI
1003
The maximal normal operator space and integration of subdlfferentmls of nonconvex functions
F. A. HOWESand S SHAO
1013
Asymptotic analysis of model problems for a coupled system
P. EABRIE
1025
Regularity of the solution of Darcy Forchhelmer's equation
M. TSUTSUMI
1051
On smooth solutions to the initial-boundary value problem for the nonlinear Schr6dlnger equation in two space dimensions
1. MANDHYAN
1057
Examples of global normal forms for some simple nonlinear Integral operators
E. N BARRONand H. ISHII
1067
The Bellman equation for minimizing the m a x i m u m cost
A -K. DRANGEID
1091
The principle of llnearlzed stabJhty for quaslllnear parabolic evolution equauons
J. DA SILVA FERREIRA
1115
Asymptotic behawor of the solutions of a nonlinear system of Klein-Gordon equations
SOFTWARE SURVEY SECTION
Volume
13 N u m b e r
l0
PRIMO BRANDI and ANNA SALVADORI
1127
On the nonparametrlc integral over a BV surface
J. Q. LIu
1139
Nonlinear vibration of a beam
PIERLUIGI COLLI
1149
On a nonlinear and nonlocal evolution equation related to muscle contraction VII!
HIROYUKI USAMI
1163
On a singular elhpuc boundary value problem in a ball
GIOVANNI VIDOSSICH
1171
On the solvability of boundary value problems for higher order ordmary dffferentml equauons
V LAKSHMIKANTHAMa n d XINZHI LIU
1181
On asymptotxc stability for nonautonomous systems
NOBOYUKI KENMOCHI a n d IRENA PAWLOW
1191
Asymptotic behavlour of solunons to parabohc elhptlc variational mequahtleS
B. H GILDING
1215
Locahzauon of soluuons of a nonhnear Fokker Planck equauon w~th Dmchlet boundary condmons
OLIVIER REY
1241
A multlphoty result for a variational problem with lack of compactness
dffferentml
SOFTWARE SURVEY SECTION
Volume 13 Number 11 PttAM Htr,¢ DIFN a n d PHAM [-IUUSACH
1251
Further properties of the regularity of inclusion systems
F PAC ~RD
1269
Convergence of surfaces of prescribed mean curvature
N S PM'A(,iOR(,I()U
1283
Relaxauon of infinite dimensional control systems
Hllosul ]suu and
1295
A remark on a system of mequallues with bilateral obstacles
('ItlN-YVAN LIN
1303
Degenerate nonlinear parabolic boundary value problems
M KwApisz
1317
On the error evaluation of approximate solutions of discrete equations
F 1 NJOKt and F ZaNOI IN
1329
Posmve solutions multiphclty results
A P MoR(,a, N and
1339
A globally convergent polynomial systems
N \()KIY~MAI) ~.
L T WATSON
IX
for two-point
BVP's
parallel algorithm
existence and
for zeros of
HWAI-CHIUANWANG
1351
The generahzed Strauss compactness lemma and its apphcatmns on nonhnear elliptic problems
B TAN(;
1359
On the existence of periodic solutions m the hmlted Explodator model for the Belousov Zhabotmsku reaction
SOFFWARI St)RVF~ SE(TION
V o l u m e 13 N u m b e r 12 M. G. CRANDALLand P. E SOUGANIDIS
1375
On nonlinear equations of evolution
J. N. GLOVER
1393
Hopf bifurcations at infinity
S. CARL
1399
The monotone iteratwe technique for a parabolic boundary value problem with discontinuous nonlinearity
A ACKER
1409
Uniqueness and monotonlclty of solutions for the interior Bernoulli free boundary problem in the convex, n-dimensional case
B. LAFFERRIEREand W. V. PETRYSHYN
1427
Newposmve fixedpolnt and elgenvalue results forPr-compact maps and some apphcations
B. SCARPELLINI
1441
A class of singular boundary value problems
N. KUTEV
1475
On the solvabdlty of the Dlrlchlet problem for degenerate equations of Monge-Ampere type
SOFTWARE SURVEY SECTION
Title Page, Volume Contents and Author Index, Volume 13, 1989
Author Index Acker, A. 1409 Acker, A.F. 53 Ahmad, S. 263 Akhmerov, R.R. 803 Alvino, A. 185 Barton, E.N. 1067 Boccardo, L. 373 Borwein, J.M. 125 Brandi, P. 1127 Bressan, A. 987 Cannarsa, P. 305 Capozzi, A. 151 Carl, S. 1399 Chen Yunmei i01 Chiappinelli, R. 871 Chin-Yuan Lin 1303 Cicogna, G. 475 Colli, P. 1149 Cortazar, C. 33 Cortesi, A. 987 Crandall, M.G. 1375 Dancer, E.N. 19 Dong Zhang 353 Drangeid, A.-K. 1091 Drew, M.S. 489 Duvallet, J. 43
Glover, J.N. 1393 Goldstein, J.A. 325 Guedda, M. 879 Gyori, I. 739 Haraux, A. 565 Henry, J. 787 Herrero, M.A. 611 Hirano, N. 599, 695 721 Hiriart-Urruty, J.-B. Howes, F.A. 1013 Hu, S. 75 Huang Zheng Ming 829 Hulshof, J. 841 Hwai-Chluan Wang 1351 Ikeda, H. Ishii, H.
507 1067, 1295
Kaczynski, T. 259 Kaul, S.K. I, 657 Kawohl, B. 53 Kenmochi, N. 1191 Klarbring, A. 935 Kloster, S.C. 489 Kung-Ching Chang 527 Kutev, N. 1475 Kwapisz, M. 1317
Fabrie, P. 1025 Favini, A. 23 Fraile, J.M. 767 Freedman, H.I. 993
Lafferriere, B. 1427 Lakshmikantham, V. 75, 819, 1181 Lazer, A.C. 263 Ledzewicz-Kowalewska, U. 833 Leon, J.-F. 579 Lions, P.L. 185 Liu, J.Q. 1139 Louro, B. 787 Lupo, D. 151
Gaeta, G. 475 Gegenberg, J.D. 489 Giannonl, F. 707 Gilbert, R.P. 285 Gilding, B.H. 1215
Mandhyan, I. 1057 Mart~nez-Y~nez, C. Michalek, R. 957 Mikeli~, A. 935 Mimura, M. 507
Egnell, H. Elaydi, S. Elgueta, M.
671 657 33
857
Moll, V.H. 569 Morgan, A.P. 1339 Moulay, M.S. 645 Murat, F. 373 Naidu, S.V.R. 221 Nakao, M. 555 Naniewicz, Z. 87 Neuberger, J.W. 413 4 Nguyen Phuong Cac 341 Nishiura, Y. 507 Njoku, F.I. 1329 Oden, J.T. ~haru, S.
459 325
Pacard, F. 1269 Pacella, F. 671 Papageorgiou, N.S. 1283 Pawlow, I. 1191 Penot, J.-P. 629 Perault-Staub, A.M. 429 Petryshyn, W.V. 1427 Pham Huu Sach 1251 Pham Huy Dien 1251 Pierre, M. 645 Plazzi, P. 23 Prasad, J.R. 221 Puel, J.-P. 373 Qi, L.
1003
Rabier, P.J. 903 Radulescu, M. 539 V Radulescu, S. 539 Rakotoson, J.M. 165 Rey, O. 1241 Ricci, R. 405 Sabina, J.C. 767 Salvadori, A. 1127 Santanilla, J. 683 Sastry, K.P.R. 221 Scarpellini, B. 1441 Seeger, A. 721
Shao, S. 1013 Shen Zuhe 145 Shillor, M. 935 1115 Silva Ferreira, J. da Sine, R. 863 Solimini, S. 151 Soner, H.M. 305 Souganidis, P.E. 1375 Stahel, A. 231 Staub, J.F. 429 Strojwas, H.M. 125 Takahashi, T. 325 Takeuchi, Y. 993 Tang, B. 1359 Tarantello, G. 579 Tarzia, D.A. 405 Terman, D. 841 Totaro, S. 969 Tracqui, P. 429 Tricarico, M. 671 Trombetti, G. 185 Tsinias, J. 63 Tsutsumi, M. 1051 Turo, J. 7 Unal, A. Usami, H.
753 1163
Verhulst, F. 841 Veron, L. 879 Vidossich, G. 1171 Watson, L.T. 1339 Wen Guo-Chun 285 White, L. 459 Xinzhi Liu
819, 1181
Yamada, N. 1295 Yong-Zhuo Chen 393 Yuan Jiancheng 589 Zanolin, F. Zeidan, V.
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