Communications in Applied Analysis, Volume 6, 2002

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
1

B. Lenze
Hyperbolic sigma-pi neural network operators applied
to image processing and reconstruction
17

M. Chipot and L. Kis
On some class of variational inequalities and their regularity properties
27

J. Karsai, J. R. Graef, and Ch. Qian
Asymptotic behavior of solutions of oscillator equations with sublinear
damping
49

X. Fu and L. Zhang
On boundedness and stability in terms of two measures for discrete systems
of Volterra type
61

H. A. Warchall and F. B. Weissler
Hidden ground states
73

Y. 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
105

D. 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
135

A. Marchesi
Exponential dichotomy and strong solutions for abstract parabolic
non-autonomous equations
147

M. 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
179

H. 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
219

G. Seifert
Periodic solutions of certain logistic equations with discontinuous delays
235

I. K. Argyros
Perturbed Newton methods in generalized Banach spaces
241

I. K. Argyros
On the solution of nonlinear equations under Holder continuity assumptions
259

J. R. Graef and B. Yang
Boundary value problems for second order nonlinear ordinary differential equations
273

V. Lakshmikantham and S. Leela
A new concept unifying Lyapunov and orbital stabilities
289

M. C. Palmeri
Existence and regularity results for some sublinear parabolic equations
297

A. D. Myshkis
Generalization of the abstract analog of Volterra integral equations
317

X. Agrafiotou and Gr. Tsagas
Solutions of the partial differential equation rt-s2 = 0 with boundary conditions
325

G. E. Karadzhov
Reisz summability of Hermite series
331

Zh. Zhang, Zh. Wang and J. Wu
Periodic solutions of third order nonlinear delay of differential equations
363

J. L. Ferrel and L. A. Medeiros
Approximate controllability in noncylindrical domains
375

V. 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
403

H. Emamirad and G. S. Hesmati
Spherical harmonic hypergroup in an inverse problem in transport theory
415

P. Weng
Basic theory in integrable space for impulsive functional differential equation
429

Z. Retchkiman
Practical stability of a class of discrete event systems modeled by coloured
Petri nets using Lyapunov and comparison methods
441

F. A. Davidson
A remark on the global structure of the solution set for a generic class
of non-linear eigenvalue problems
449

A. J. Zaslavski
Generic existence of solutions of variational problems without convexity
assumptions
457

Y. J. Kim, K. H. Kwon and J. K. Lee
Multi-variate orthogonal polynomials and second order partial differential
equations
479

I. 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
515

I. K. Argyos
On the radius of convergence of Newton-like methods
527

S. Hashimoto and M. Otani
Sublinear elliptic equations and eigenvalue problems with singular
coefficients
535

A. Bouziani
On the quasi static flexure of a thermoelastic rod
549

D. D. Bainov and S. G. Hristova
Application of the method of the quasilinearization for the initial value
problem for systems of impulsive differential equations
569

Volume Contents
583

Author Index
587

F. Stenger, E. Cohen, and R. Riesenfeld Radial function methods of approximation based on using harmonic Green’s functions	1
B. Lenze Hyperbolic sigma-pi neural network operators applied to image processing and reconstruction	17
M. Chipot and L. Kis On some class of variational inequalities and their regularity properties	27
J. Karsai, J. R. Graef, and Ch. Qian Asymptotic behavior of solutions of oscillator equations with sublinear damping	49
X. Fu and L. Zhang On boundedness and stability in terms of two measures for discrete systems of Volterra type	61
H. A. Warchall and F. B. Weissler Hidden ground states	73
Y. 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	105
D. 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	135
A. Marchesi Exponential dichotomy and strong solutions for abstract parabolic non-autonomous equations	147
M. 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	179
H. 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	219
G. Seifert Periodic solutions of certain logistic equations with discontinuous delays	235
I. K. Argyros Perturbed Newton methods in generalized Banach spaces	241
I. K. Argyros On the solution of nonlinear equations under Holder continuity assumptions	259
J. R. Graef and B. Yang Boundary value problems for second order nonlinear ordinary differential equations	273
V. Lakshmikantham and S. Leela A new concept unifying Lyapunov and orbital stabilities	289
M. C. Palmeri Existence and regularity results for some sublinear parabolic equations	297
A. D. Myshkis Generalization of the abstract analog of Volterra integral equations	317
X. Agrafiotou and Gr. Tsagas Solutions of the partial differential equation rt-s2 = 0 with boundary conditions	325
G. E. Karadzhov Reisz summability of Hermite series	331
Zh. Zhang, Zh. Wang and J. Wu Periodic solutions of third order nonlinear delay of differential equations	363
J. L. Ferrel and L. A. Medeiros Approximate controllability in noncylindrical domains	375
V. 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	403
H. Emamirad and G. S. Hesmati Spherical harmonic hypergroup in an inverse problem in transport theory	415
P. Weng Basic theory in integrable space for impulsive functional differential equation	429
Z. Retchkiman Practical stability of a class of discrete event systems modeled by coloured Petri nets using Lyapunov and comparison methods	441
F. A. Davidson A remark on the global structure of the solution set for a generic class of non-linear eigenvalue problems	449
A. J. Zaslavski Generic existence of solutions of variational problems without convexity assumptions	457
Y. J. Kim, K. H. Kwon and J. K. Lee Multi-variate orthogonal polynomials and second order partial differential equations	479
I. 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	515
I. K. Argyos On the radius of convergence of Newton-like methods	527
S. Hashimoto and M. Otani Sublinear elliptic equations and eigenvalue problems with singular coefficients	535
A. Bouziani On the quasi static flexure of a thermoelastic rod	549
D. D. Bainov and S. G. Hristova Application of the method of the quasilinearization for the initial value problem for systems of impulsive differential equations	569
Volume Contents	583
Author Index	587