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NONLINEAR ANALYSIS

THEORY, METHODS & APPLICATIONS

VOLUME 40 NUMBER 1-8 APRIL-JUNE 2000

(Published 31 May 2000) CONTENTS

SPECIAL ISSUE: Lakshmikantham's Legacy: A Tribute On His 75th Birthday

R. P. AGARWAL and S.G. LEELA R. P. AGARWAL and

D. O'REGAN

S. AHMAD and A. C. LAZER N. U . A H M E D

J. APPELL, E. DE PASCALE and A. VIGNOLI

B. AL'LBACH and T. WANNER V. BARBU, I. LASIECKA and R. TRIGGIANI S. R. BERNFELD

M. CORLESS and G. LEITMANN

1 A brief biography and survey of collected works of V. Lakshmikantham

21 Periodic solutions to nonlinear integral equations on the infinite interval modelling infectious disease 37 Average conditions for global asymptotic stability

in a nonautonomous Lotka-Volterra system 51 Measure solutions for semilinear and quasilinear

evolution equations and their optimal control 73 A comparison of different spectra for nonlinear

operators

91 The Hartman-Grobman theorem for Caratheodory- type differential equations in Banach spaces 105 Extended algebraic Riccati equations in the

abstract hyperbolic case

131 Behavior of orbits near a critical equilibrium of a two-dimensional system

145 Analysis and control of a communicable disease Continued on inside back cover

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NONLINEAR ANALYSIS

THEORY, METHODS & APPLICATIONS

VOLUME 40 NUMBER 1-8 APRIL-JUNE 2000

CONTENTS—continued from outside hack cover

173 Nonoscillation, oscillation and convergence of a class of neutral equations

185 Homogenizing the acoustic properties of the seabed: Part I

213 Disturbance rejection in control systems with saturating actuators

227 Modeling fish population dynamics H. A. EL-MORSHEDY

and K. GOPALSAMY

R. P. GILBERT and A. MIKELIC C. GOKCEK, P. T. KABAMBA and S. M. MEERKOV

T. G. HALLAM, R. R. LASSITER and S.M. HENSON

L. HATVANI 251 J I A L I N HONG, R. OBAYA 265 and A. M. SANZ

C.-S. HUANG, S. WANG 279 and K. L. TEO

S. K. KAUL and X. LUJ 295

1. K I G U R A D Z E 309

W. A. KIRK 323 P. E. KLOEDEN and 333 V. S. KOZYAKIN

V. B. KOLMANOVSKII, 345

A. D. MYSHKIS and J.-P. RICHARD

A. KOVALEVSKY and 365 F. NICOLOSI

T. KUSANO, J. JAROS and 381

N. YOSHIDA

A. YA. LEPIN, L. A. LEPIN 397 and A. D. MYSHKIS

On the asymptotic stability for functional differen- tial equations by Lyapunov functionals

Ergodic solutions via ergodic sequences

Solving Hamilton-Jacobi-Bellman equations by a modified method of characteristics

Generalized variation of parameters and stability of impulsive systems

On periodic solutions of rath order ordinary differ- ential equations

Nonexpansive mappings and asymptotic regularity The inflation of attractors and their discretization:

the autonomous case

Estimate of solutions for some Volterra difference equations

On regularity up to the boundary of solutions to degenerate nonlinear elliptic high-order equations A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order Two-point boundary value problem for nonlinear differential equation of nth order

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