**Communications in Applied
Analysis**

**Volume 6,
2002**

CONTENTS

F. Stenger, E. Cohen, and R. Riesenfeld

Radial function methods of approximation based on using

harmonic Green’s functions

1B. Lenze

Hyperbolic sigma-pi neural network operators applied

to image processing and reconstruction

17M. Chipot and L. Kis

On some class of variational inequalities and their regularity properties

27J. Karsai, J. R. Graef, and Ch. Qian

Asymptotic behavior of solutions of oscillator equations with sublinear

damping

49X. Fu and L. Zhang

On boundedness and stability in terms of two measures for discrete systems

of Volterra type

61H. A. Warchall and F. B. Weissler

Hidden ground states

73Y. Alber, S. Reich, and D. Shoikhet

Iterative approximations of null points of uniformly accretive operators

with estimates of the convergence rate

89

K. Ito

Loss of convexity of compact hypersurfaces moved by surface diffusion

105D. Bainov and E. Minchev

On the solvability of the nonlinear Schrodinger equation in noncylindrical

domain

127

W. S. Kim

Multiplicity result for periodic solutions of semilinear parabolic equations

135A. Marchesi

Exponential dichotomy and strong solutions for abstract parabolic

non-autonomous equations

147M. Sirbu

A Riccati equation approach to the null controllability of linear systems

163

B. Pelloni

D-bar problems and the solution of the sine-Gordon equation in time-dependent

convex domains

179H. S. Jung, K. H. Kwon and D. W. Lee

Error estimates of Gauss quadrature for Freud and Erdos weights

197

T. Jankowski

Systems of differential equations with a singular matrix

209

R. Benabidallah and J. ferreira

Asymptotic behaviour for the nonlinear beam equation in noncylindrical domains

219G. Seifert

Periodic solutions of certain logistic equations with discontinuous delays

235

I. K. Argyros

Perturbed Newton methods in generalized Banach spaces

241I. K. Argyros

On the solution of nonlinear equations under Holder continuity assumptions

259J. R. Graef and B. Yang

Boundary value problems for second order nonlinear ordinary differential equations

273V. Lakshmikantham and S. Leela

A new concept unifying Lyapunov and orbital stabilities

289M. C. Palmeri

Existence and regularity results for some sublinear parabolic equations

297

A. D. Myshkis

Generalization of the abstract analog of Volterra integral equations

317X. Agrafiotou and Gr. Tsagas

Solutions of the partial differential equation rt-s2 = 0 with boundary conditions

325G. E. Karadzhov

Reisz summability of Hermite series

331Zh. Zhang, Zh. Wang and J. Wu

Periodic solutions of third order nonlinear delay of differential equations

363J. L. Ferrel and L. A. Medeiros

Approximate controllability in noncylindrical domains

375V. Lakshmikantham and Y. Zhang

Strict stability of delay differential equation

393

M. Matic, C. E. M. Pearce and J. Pecaric

On some inequalities for the entropy and mutual information of random vectors

403H. Emamirad and G. S. Hesmati

Spherical harmonic hypergroup in an inverse problem in transport theory

415P. WengBasic theory in integrable space for impulsive functional differential equation

429Z. Retchkiman

Practical stability of a class of discrete event systems modeled by coloured

Petri nets using Lyapunov and comparison methods

441F. A. Davidson

A remark on the global structure of the solution set for a generic class

of non-linear eigenvalue problems

449A. J. Zaslavski

Generic existence of solutions of variational problems without convexity

assumptions

457Y. J. Kim, K. H. Kwon and J. K. Lee

Multi-variate orthogonal polynomials and second order partial differential

equations

479I. K. Argyros

A convergence theorem for Newton-like methods in Banach space

under general weak assumptions and applications

505

I. K. Argyos

Convergence domains for some iterative procedures in Banach space

515I. K. Argyos

On the radius of convergence of Newton-like methods

527S. Hashimoto and M. OtaniSublinear elliptic equations and eigenvalue problems with singular

coefficients

535A. Bouziani

On the quasi static flexure of a thermoelastic rod

549D. D. Bainov and S. G. HristovaApplication of the method of the quasilinearization for the initial value

problem for systems of impulsive differential equations

569Volume Contents

583

Author Index

587