**Communications in
Applied Analysis**

**Volume 7,
2003**

CONTENTS

A. D. Myshkis

Abstract linear integral equations of Volterra type with noncompact

integration domain

1D. D. Bainov and P. S. Simeonov

Periodic solutions of linear impulsive differential equations with delay

7C. R. Drago

Existence and uniqueness of global solutions to the Cauchy problem

for semiconductor Boltzmann equations

31Z.-C. Chen and B.-J. Xuan

On the Keldys-Fichera boundary value problem for degenerate quasilinear

elliptic equations

41K.-H. Hoffmann and R. E. Showalter

Vibration of a shape memory alloy wire

53N. C. Apreutesei

An asymptotic analysis for a semi-linear elliptic equation

67D. Bainov and E. Minchev

Method of upper and lower solutions and monotone iterative

technique for hyperbolic delay-differential equations

79

K. Deng and C.-L. Zhao

Blow-up versus quenching

87T. E. Govindan

Existence and stability of solutions of stochastic semilinear evolution equations

101

C. Trenchea

Internal optimal control of the periodic Euler-Bernoulli equation

115E. Minchev

Nonexistence of global solutions of a system of coupled Schrodinger

and Kirchhoff equations

127G. Nurnberger, G. Steidl, and F. Zeilfelder

Explicit estimates for bivariate hierarchical bases

133

D. D. Bainov, L. Barbanti, and S. G. Hristova

Method of quasilinearization for the periodic boundary value problem

for impulsive differential-difference equations

153C. Wang and J.-G Liu

Fourth order convergence of compact finite difference solver for

2D incompressible flow

171

X. Li, Z. Wang, and X. Zou

A 3/2 stability result for the logistic equation with two delays

193

G. A. Anastassiou

Fractional Ostrowski type inequalities

203A. Gaudiello, R. Hadiji, and C. Picard

Homogenization of the Ginzburg-Landau equation in a domain with

oscillating boundary

209

J.-S. Jaing and C.-K. Lin

Homogenization of a second order differential equation

225M. Benchohra and S. K. Ntouyas

Existence of solutions on noncompact intervals for semilinear integrodifferential

inclusions with nonlocal conditions

241M. Benchohra, J. Henderson, and S. K. Ntouyas

Impulsive functional differential inclusions in Banach spaces

253S. Dahlke and P. Maass

A note on interpolating scaling functions

265D. D. Bainov, D. A. Kolev, and K. Nakagawa

Blowing-up solution for an impulsive nonlinear reaction-diffusion model with an

inhomogeneous boundary condition

281

D. O’Regan

Fixed point theory for inward maps on topological vector spaces

whose dual separates points

291L. Weian, L. Gang, C. Hua and Y. Yin

Viscosity solutions of fully nonlinear degenerated elliptic systems

299D. A. Tarzia and C. V. Turner

The Asymptotic behavior for the two-phase Stefan problem with a convective

boundary condition

313J. Ferreira and R. Benabidallah

Asymptotic behavior for the linear thermoelasticity system in domains with

moving boundary

335M. Benchohra and S. K. Ntouyas

On first order impulsive semilinear differential inclusions

349D. D. Bainov, D. A. kolvev and K. Nakagawa

Blow-up property of the solutions of an impulsive reaction-diffusion model

359

M. Ait Mansour, Z. Chbani and H. Riahi

Recession bifunction and solvability of noncoercive equilibrium problems

369S. A. Messaoudi

Blow up in the Cauchy problem for a nonlinearly damped wave equation

379W. E. Fitzgibbon and M. Langlais

A diffusive S. I. S. model describing the propagation of F. I. V.

387M. Islam and Y. Raffoul

Stability properties of volterra integrodifferential equations with nonlinear

Perturbation

405G. M. Coclite

A multiplicity result for the nonlinear Schrodinger-Maxwell equations

417Z. Zhang, Z. Wang and J. Wu

Periodic solutions of third order nonlinear functional differential equations

425G. Seifert

Almost periodic solutions of certain neutral functional differential equations

437G. Seifert

Periodic solutions of differential equations with piecewise constant delays

443

D. D. Bainov, N. T. Markova and P. S. SimeonovAsymptotic and oscillatory behaviour of n-th order differential equations

with deviating arguments, depending on the unknown function

455Q-H. Choi and T. JungInfinitely many solutions of a nonlinear biharmonic equation under

Dirichlet boundary condition

473L. De PascaleOn a constrained shape optimization problem

485S. TayachiA singular solution for the heat equation with absorption and a nonlinear

gradient term

499K. Anada and M. TsutsumiClassification of the motion of hypersurfaces for harmonic mean curvature

flows of blow-up rates of solutions to a parabolic differential equation

519L. AngermanNode-centered finite volume schemes and primal-dual mixed formulations

529G. BarlettaA multiplicity theorem for non-differentiable periodic functionals

567A. SiliHomogenization of the heat equation in thin cylinders

577D. D. Bainov, N. T. Markova and P. S. SimeonovOscillation of second order differential equations with retarded

argument depending on the unknown function

593Volume Contents

605Author Index

609