Volume
Contents
Volume 11 Number 1 A.
1
Uniform asymptotic stability of a singularly perturbed tem via the Lyapunov matrix-function
T. DEL VECCHIO
5
Strongly nonlinear problems with gradient dependent order nonlinearity
H. BEGEHR and R. P. GILBERT
17
Non-Newtonian
G. M. LIEBERMAN
49
Gradient bounds for solutions oblique derivative problems
J. B. LEBLOND
63
Uniqueness and continuity theorems linear partial differential equations
A. RQCANU
71
Parabolic stochastic obstacle problem
K. TANAKA
85
Infinitely many periodic solutions for a superlinear wave equation
BAU-SEN Du
105
Topological
E. N. CHUKWU
115
On the Euclidean nonlinear base
E. H. DE BRITO
125
Nonlinear initial-boundary
J. AWN
139
The generalized Benjamin-Bona-Mahony with singular initial data
SOFTWARESURVEYSECTION
I
MARTYNYUK
Hele-Shaw
syslower
flows in n 3 2 dimensions of nonuniformly
elliptic
for a system of non-
forced
entropy and chaos of interval maps controllability
of a neutral system with
value problems equation
in (w”
Volume 11 Number 2 V. S. KOZJAKINand M. A. KRASNOSEL’SKII
149
The method of parameter bifurcation problem
L. GASTALDI and F. TOURELLI
163
A nonlinear and nonlocal evolution equation describing the muscle contraction
E. A. GALPERIN and J. M. SKO~RONSKI
183
Geometry
K. GOPXLSX~LLY
199
Stability and nonoscillation recruitment delays
G. J. BUTLER and L. H. ERBE
207
A generalization of Olech-Opial-Wazewski teria to second order nonlinear equations
M. Cocu and A. RADOSLOVESCU
221
Regularity properties ational inequalities ... 111
functionalization
in the Hopf
of V-functions and the Liapunov stability theory in a logistic equation
with
oscillation cri-
for the sdlutions of a class of vari-
J. MOSSINO
231
Isoperimetric inequalities and nonexistence Grad-Shafranov equations
A. D. IOFFE
245
Absolutely continuous functionals
F. BA~ELLI and C. LAZZARI
259
Dichotomies and stability in singularly perturbed systems of O.D.E.
P. OMARI and F. ZANOLIN
275
M. A. VIVALDI
285
On the existence of periodic solutions of forced Li&nard differential equations Existence of strong solutions for nonlinear parabolic variational inequalities
SOFTWARESURVEYSECTION
I
subgradients
result in the
of nonconvex
integral
Volume 11 Number 3 A. B. RONKOV and D. D. BAINOV
297
Nonlinear integral inequalities for functions partially ordered topological spaces
C. J. VAN DUYN and D. HILHORS~
305
On a doubly nonlinear diffusion equation in hydrology
defined
in
Y. SHIBA~A and Y. TSUTSUMI 335
Local existence of solution for the initial boundary problem of fully nonlinear wave equation
value
M. FALCONE and P. SAINT-
367
Slow and quasi-slow solutions of differential
J.-P. GOSSEZ and V. MUSTONEN
379
Variational
E. MIRENGHI
393
Equilibrium system
J. A. C. MARTINS and J. T.
407
Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
S. KOIKE
429
An asymptotic formula for solutions of Hamilton-JacobiBellman equations
SOFTWARE SURVEY SECTION
I
inclusions
PIERRE
ODEN
iv
inequalities in Orlicz-Sobolev solutions
of a semilinear
spaces reaction-diffusion
Volume
11 Number
4
D. A. CARLSON
437
The controllability problems
of infinite
R. IANNACCI and M. N. NKASHAMA
455
Nonlinear boundary
value problems at resonance
M. RAMA MOHANA RAO and V. RAGHAVENDRA
475
Asymptotic stability ferential equations
D. G. DE FIGUEIREDO
481
On the existence of multiple ordered solutions of nonlinear eigenvalue problems
M.
BERTSCH, M. E. GURTIN and D. HILHORST
493
On interacting populations that disperse to avoid crowding: the case of equal dispersal velocities
A. FRIEDMANand S. STOJANOVIC
501
A free boundary problem associated with icing in a channel
L. E. BOBISUD, D. O’REGAN and W. D. ROYALTY
527
Steady-state reactiondiffusion-convection cores and singular perturbations
A. CAPOZZI and A. SALVATORE
539
Remarks on subharmonic equation
oscillations of a semilinear wave
R. Russo
549
A uniqueness dynamics
in incompressible
SOFTWARE SURVEY SECTION
I
Volume
properties
theorem
11 Number
horizon
optimal
of Volterra
control
integro-dif-
equations: dead
viscous
fluid
5
LIU BAOPING
553
The integral operator method for finding almost periodic solutions of nonlinear wave equations
A. D. IOFFE
565
On the local surjection
P.
593
Generic hyperbolicity in one-dimensional reaction-diffusion equations with general boundary conditions
599
On the existence of periodic solutions for a class of symmetric Hamiltonian systems
POLACIK
P. H. RABINOWITZ
P. L. LIONS and B. PERTHAME 613 DAJUN Guo and V. LAKSHMIKANTHAM
623
J. K. HALE and C. ROCHA
633 I
SOFTWARESURVEYSECTION
property
Remarks on Hamilton-Jacobi time-dependent Hamiltonians Coupled fixed points of applications Interaction
equations nonlinear
with measurable operators
of diffusion and boundary conditions
with
Volume
11 Number
6
R. R. AKHMEROVand M. I. KAMENSKIJ
651
Stability by the first approximation of ensembles of dynamical systems with applications to neutral type equations
L. TAVERNINI
665
Differential
K. J. BROU~N
685
Nontrivial diffusion
A. WEXLER
691
Solution of nonlinear boundary value problems coupled to a system of algebraic equations using quasilinearization
F. A. PO~RA
697
Newton-like methods with monotone ing nonlinear operator equations
A. E. BERGER
719
Analysis of a constrained minimization problem modeling the orientation distribution of rod-like particles
P. D&BEK, and S. A. TERSIAN
733
Characterizations of the range of Neumann semilinear elliptic equations
M. ALI KHAN and N. S. PAPAGEORGIOU
741
On Cournot-Nash equilibria in generalized games with a continuum of players
SOFTWARESURVEY SECTION
I
Volume
automata
and their discrete simulators
solutions of predator-prey
11 Number
A nonmonotone
systems with small
convergence
for solv-
problem
for
qualitative
7
differential
inclusion
P. LABORDE
757
R. SINE
777
Rigidity properties
F. LAZZERI and A. M. MICHELETTI
795
An application of singularity theory to nonlinear ferentiable mappings between Banach spaces
M. A. M. ALWASH and N. G.
809
Periodic solutions of a quartic nonautonomous
S. D. TALIAFERRO
821
Stability of bifurcating solutions in the presence of symmetry
P. BILER
841
Exponential decay of solutions of damped nonlinear hyperbolic equations
G. CARISTI
851
Monotone perturbations of linear nullspace made of oscillating functions
SOFIWARE SURVEY SECTION
I
of nonexpansive
mapping dif-
equation
LLOYD
vi
operators
having
Volume 11 Number 8 861
Approximate analysis of regularized compressible flow using the fictitious gas concept
877
Persistence in reacting-diffusing predators and one prey
T. GALLOU%Tand J.-M. MOREL
893
The equation
M. EL-DOMA
913
Analysis of nonlinear integro-differential in age-dependent epidemic models
C. FOIAS, 0. MANLEY and R. TEMXM
939
Attractors for the BCnard problem: existence and physical bounds on their fractal dimension
M. D’AUJOURD’HUI
969
Nonautonomous nonlinearities
SOFTWARESURVEYSECXON
I
HUNG DINH and G. F. CAREY LING HSIAO and P. MOTONI
DE
-Au + I@-Iu
boundary
systems: interaction of two =f, for 0 c cusl equations arising
value problems
with jumping
Volume 11 Number 9 P. D. LOEWEN
979
The proximal normal formula in Hilbert space
A. G. KARTSATOS
997
On the solvability of abstract operator equations involving compact perturbations of m-accretive operators
M. BIROLI and U. Mosco
1005
Wiener estimates for parabolic obstacle problems
Duo WANG
1029
The critical points of the period function of x” - x’ (x - &)(X - 1) = 0 (0 < (Y< 1)
G. SEIFERT
1051
On a delay-differential variations
MINGSANCHEN
1061
Hopf bifurcation
C. P. GUFTA
1075
Existence and uniqueness theorems for boundary problems involving reflection of the argument
E. S. TITI
1085
On a criterion for locating stable stationary solutions to the Navier-Stokes equations
SOFIWARESURVEYSECTION
I
vii
equation for single specie population
in Beck’s problem value
Volume 11 Number 10 M. ESCOBEDO and 0. KAVIAN
1103
Variational problems related to self-similar solutions of the heat equation
N. A. TCHOU
1135
Topological regularity of the set of solutions of a differential inclusion
Y. TSUTSUMI
1143
Global strong solutions for nonlinear SchrGdinger equations
Y. YAMADA
1155
Some nonlinear degenerate
T. W. REILAND
1169
A geometric approach sample applications
G. METZEN
1185
Nonresonance domains
S. GUTMAN
1193
Existence theorems
J. M. BORWEIN
1207
Epi-Lipschitz-like examples
L. E. BOBISUD and I. STAKGOLD
1219
Dead cores in nonlinear reaction-diffusion
SOFIWARE SURVEYSECTION
I
wave equations
to nonsmooth
optimization
with
semilinear operator equations in unbounded for nonlinear evolution equations sets in Banach
space:
theorems
and
systems
Volume 11 Number 11 J. TSINIAS and N. KALOUPTSIDIS
1229
Controllable
cascade connections
of nonlinear systems
G. ROJAS and B. ZWAHLEN
1245
The critical value of a nonlinear BVP and the symmetrization of the data: conjectures and counter-examples
G. ROJAS
1257
An inequality for the critical value of nonlinear eigenvalue problems
F. ALBRECHT and G. VILLARI
1267
On the uniqueness LiCnard equations
JURANG YAN
1279
Oscillation equations
QI-XIAO YE and MING-XIN WANG
1289
Travelling wave front solutions of Noyes-Field Belousov-Zhabotinskii reaction
R. R. AKHMEROV
1303
On structure of a set of solutions of Dirichlet boundary value problem for stationary one-dimensional forward-backward parabolic equation
A. BOYARSKY,W. BYERS and P. GAUTHIER
1317
Higher dimensional
SOFIWARE SURVEY SECTION
I
of the periodic
of solutions
solutions
of first order
of certain
delay differential
analogues of the tent maps
system for
Volume
11 Number
12
P. J. RABIER and J. T. ODEN
1325
Solution to Signorini-like contact problems through interface models-I. Preliminaries and formulation of a variational equality
JONQ JUANG and P. NELSON
1351
Existence and uniqueness results for a nonlinear integrodifferential initial-value problem arising in transport theory
A. J. MILANI
1371
Long time existence and singular perturbation results for quasi-linear hyperbolic equations with small parameter and dissipation term-II
R. ROY and S. M. SHAH
1383
Functions of bounded and v-bounded index
J. SUGIE
1391
On the boundedness of solutions of the generalized equation without the Signum condition
E. J. BALDER
1399
Necessary and sufficient conditions for L ,-strong-weak lower semicontinuity of integral functionals
SOFTWARESURVEYSECTION
index, bounded
value distribution Lienard
I i
Volume Contents and Author Index, Volume 11, 1987
ix
Author Index Akhmerov, R. R. 651, 1303 Albrecht, F. 1267 Ali Khan, M. 741 Alwash, M. A. M. 809 Avrin, J. 139 Bainov, D. D. 297 Balder, E. J. 1399 Battelli, F. 259 Bau-Sen Du 10s Begehr, H. 17 Berger, A. E. 719 Bertsch, M. 493 Biler, P. 841 Biroli, M. 100.5 Bobisud, L. E. 527, 1219 Borwein, 3. M. 1207 Boyarsky, A. 1317 Brown, R. J. 685 Butler, G. J. 207 Byers, W. 1317 Capozzi, A. 539 Carey, G. F. 861 Caristi, G. 851 Carlson, D. A. 437 Chukwu, E. N. 115 Cocu, M. 221 D'Aujourd'Hui, M, 969 Dajun Guo 623 De Brito, E. 8. 125 De Figueiredo, D. G. 481 Del Vecchio, T. 5 Drabek, P. 733 Duo Wang 1029 Duyn, C. J. van 305 El-Doma, M. 913 Erbe, L. H. 207 Escobedo, M. 1103 Falcone, M. 367 Foias, C. 939 Friedman, A. 501 Gallouet, T. 893 Galperin, E. A. 183 Gastaldi, L. 163 Gauthier, P. 1317
Gilbert, R. P. 17 Gopalsamy, K. 199 Gossez, J. P. 379 Gupta, C. P. 1075 Gurtin, M. E. 493 Gutman, S. 1193 Hale, J, K. 633 Hilhorst, D. 305, 493 Hung Dinh 861 Iannacci, R. 455 Ioffe, A. D. 245, 565 Jonq Juang 1351 Jurang Yan 1279 Kalouptsidis, N. 1229 Kamenskij, M. 1. 651 Kartsatos, A. G. 997 Kavian, 0. 1103 Koike, S. 429 Kozjakin, V. S. 149 Krasnosel'Skii, M. A. 149 Laborde, P. 757 Laks~ikan~ham, V. 623 Lazzari, C. 259 Lazzeri, F. 795 Leblond, J. B. 63 Lieberman, G. M. 49 Ling Hsiao 877 Lions, P. L. 613 Liu Baoping 553 Lloyd, N. G. 809 Loewen, P. D. 979 Manley, 0. 939 Martins, J. A. C. 407 Martynyuk, A. A. 1 Metzen, G. 1185 Micheletti, A. M. 795 Milani, A. J. 1371 Ming-Xin Wang 1289 Mingsan Chen 1061 Mirenghi, E. 393 Morel, J.-M. 893 MOSCO, U. 1005 Mossino, 3. 231 Mottoni, P. de 877 X
Mustonen, V. 379 Nelson, P. 1351 Nkashama, M. N. 455 O'Regan, D. 527 Oden, J. T. 407, 1325 Omari, P. 275 Papageorgiou, N. S. 741 Perthame, B. 613 Polacik, P. 593 Potra, F. A. 697 Qi-Xiao Ye 1289 Rabier, P. J. 1325 Rabinowitz, P. H. 599 Radoslovescu, A. 221 Raghavendra, V. 475 Rama Mohana Rao, M. 475 Rascanu, A. 71 Reiland, T. W. 1169 Rocha, C. 633 Rojas, G. 1245, 1257 Ronkov, A. B. 297 Roy, R. 1383 Royalty, W. D. 527 Russo, R. 549 Saint-Pierre, P. 367
Salvatore, A. 539 Seifert. G. 1051 Shah, S. M. 1383 Shibata, Y. 335 Sine, P. 777 Skowronski,.J. M. la3 Stakgold, I. 1219 Stojanovic, S. 501 Sugie, J. 1391 Taliaferro, S. D. 821 Tanaka, K. 85 Tavernini, L. 665 Tchou, N. A. 1135 Temam, R. 939 Tersian, S. A. 733 Titi, E. S. 1085 Tomarelli, F. 163 Tsinias, J. 1229 Tsutsumi, Y. 335, 1143 Villari, G. 1267 Vivaldi, M. A. 285 Wexler, A. 691 Yamada, Y. 1155 Zanolin, F. 275 Zwahlen, B. 1245
xi