Volume contents and author index, volume 11, 1987

Volume contents and author index, volume 11, 1987

Volume Contents Volume 11 Number 1 A. 1 Uniform asymptotic stability of a singularly perturbed tem via the Lyapunov matrix-function T. DEL VECCHI...

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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