Dynamic Systems & Applications Vol 8, 1999

Dynamic Systems and Applications

Volume 8, 1999

CONTENTS

M. R. Crisci, V. B. Kolmanovskii, E. Russo, and A. Vecchio
Asymptotic properties of solutions of Volterra difference
equations with finite linear part
1

Lev B. Ryashko
Stability and stabilization of SDEs with periodic coefficients

21

K. Balachandran and M. Chandrasekaran
Nonlocal Cauchy problem for quasilinear integrodifferential
equation in Banach spaces

35

Ravi P. Agarwal and S. R. Grace
Oscillation of certain systems of functional differential equations

45

Tadeusz Jankowski
Generalization of the method of quasilinearization for
differential problems with a parameter

53

Stanislaw Migorski
Sensitivity analysis of inverse problems with applications to
nonlinear systems

73

Marinella Lombardi
On a class of semilinear parabolic problems with degenerate
linear part

89

Donal O’Regan
A note on the existence of weak solutions to operator
equations in Banach spaces

113

Mouffak Benchohra and Abdelkader Boucherif
On first order initial value problems for impulsive differential
inclusions in Banach spaces

119

Chaitan P. Gupta and Sergej I. Trofimchuk
A Wirtinger type inequality and a three point boundary
value problem

127

Zheng Liancun and He Jicheng
Existence and non-uniqueness of positive solutions to a
nonlinear boundary value problems in the theory of viscous fluids

133

Idris Addou and Abdelhamid Benmezai
Exact number of positive solutions for a class of quasilinear
boundary value problems

147

Bruno Buonomo and Andrea Di Liddo
A diffusive modelling approach to population dynamics in polluted
environment

181

Istvan Gyori and Sergei I. Trofimchuk
Global attractivity in x’(t) = - * x (t) + pf(x(t - y))

197

John O. Adeyeye
Cone-valued Lyapunov functions, stability in two measures and
strongly coupled nonlinear boundary value problems

211

Leonid Berezansky, Elena Braverman, and Haydar Akca
On oscillation of a linear delay integro-differential equation

219

Abdelkader Boucherif and Naima Daoudi-Merzagui
Solvability of second order periodic boundary value problems

235

Marco Rigoli and Alberto G. Setti
Liouville-type theorems for rotationally symmetric harmonic maps

243

Daniel C. Biles, Mark P. Robinson, and John S. Spraker
Numerical solutions for a class of non-convex-valued
differential inclusions

265

X. Mao and C. Selfridge
Stability & instability of stochastic interval systems

271

R. Y. Zhang, Z. C. Wang, and J. S. Yu
Linear delay difference inequalities with oscillating coefficients

287

Ravi Agarwal, Calvin Ahlbrandt, Martin Bohner, and Allan Peterson
Discrete linear Hamiltonian systems: A survey

307

Douglas Anderson
Normalized prepared bases for discrete symplectic matrix systems

335

Martin Bohner, Ondrej Dosly, and Werner Kratz
Discrete Reid roundabout theorems

345

Shaozhu Chen, Fanwei Meng, and Zhaowen Zheng
Oscillation of linear Hamiltonian systems

353

Sui Sun Cheng and Rigoberto Medina
Growth conditions for a discrete heat equation with delayed control

361

Steve Clark and Don Hinton
Discrete Lyapunov inequalities

369

John M. Davis, Paul W. Eloe, and Johnny Henderson
Comparison of eigenvalues for discrete Lidstone boundary value problems

381

Yuri Domshlak
Riccati difference equations with almost periodic coefficients
in the critical state

389

Ondrej Dosly and Roman Hilscher
Linear Hamiltonian difference systems: Transformations,
recessive solutions, generalized reciprocity

401

G. Freiling and V. Ionescu
Nonsymmetric discrete-time difference and algebraic
Riccati equations: Some representation formulae and comments

421

Aristide Halanay and Vladimir Rasvan
Stability and boundary value problems for discrete-time linear
Hamiltonian systems

439

Betty Jean Harmsen
Using remainder polynomials to solve discrete Sturm-Liouville problems

461

Stefan Hilger
Special functions, Laplace and Fourier transform on measure chains

471

Roman Hilscher
Linear Hamiltonian systems on time scales: Transformations

489

Vlad Ionescu
Dichotomy and contractiveness for time-varying discrete
descriptor systems

503

Q. Kong, H. Wu, and A. Zettl
Inequalities among eigenvalues of singular Sturm-Liouville problems

517

I. Kumari and S. Umamaheswaram
Conjugacy criteria for a linear second order difference equation

533

Ewa Magnucka-Blandzi and Jerzy Popenda
Continued fractions and systems of two rational difference equations

547

Chuan Jun Tian, Bo Yang, and B. G. Zhang
Oscillation for certain systems of functional differential equations

559

Tammy Voepel
Variable transformations for fourth order differential equations

565

Vera Zeidan
Nonnegativity and positivity of a quadratic functional

571

Content of Volume 8
589

Author Index
                593

M. R. Crisci, V. B. Kolmanovskii, E. Russo, and A. Vecchio Asymptotic properties of solutions of Volterra difference equations with finite linear part	1
Lev B. Ryashko Stability and stabilization of SDEs with periodic coefficients	21
K. Balachandran and M. Chandrasekaran Nonlocal Cauchy problem for quasilinear integrodifferential equation in Banach spaces	35
Ravi P. Agarwal and S. R. Grace Oscillation of certain systems of functional differential equations	45
Tadeusz Jankowski Generalization of the method of quasilinearization for differential problems with a parameter	53
Stanislaw Migorski Sensitivity analysis of inverse problems with applications to nonlinear systems	73
Marinella Lombardi On a class of semilinear parabolic problems with degenerate linear part	89
Donal O’Regan A note on the existence of weak solutions to operator equations in Banach spaces	113
Mouffak Benchohra and Abdelkader Boucherif On first order initial value problems for impulsive differential inclusions in Banach spaces	119
Chaitan P. Gupta and Sergej I. Trofimchuk A Wirtinger type inequality and a three point boundary value problem	127
Zheng Liancun and He Jicheng Existence and non-uniqueness of positive solutions to a nonlinear boundary value problems in the theory of viscous fluids	133
Idris Addou and Abdelhamid Benmezai Exact number of positive solutions for a class of quasilinear boundary value problems	147
Bruno Buonomo and Andrea Di Liddo A diffusive modelling approach to population dynamics in polluted environment	181
Istvan Gyori and Sergei I. Trofimchuk Global attractivity in x’(t) = - * x (t) + pf(x(t - y))	197
John O. Adeyeye Cone-valued Lyapunov functions, stability in two measures and strongly coupled nonlinear boundary value problems	211
Leonid Berezansky, Elena Braverman, and Haydar Akca On oscillation of a linear delay integro-differential equation	219
Abdelkader Boucherif and Naima Daoudi-Merzagui Solvability of second order periodic boundary value problems	235
Marco Rigoli and Alberto G. Setti Liouville-type theorems for rotationally symmetric harmonic maps	243
Daniel C. Biles, Mark P. Robinson, and John S. Spraker Numerical solutions for a class of non-convex-valued differential inclusions	265
X. Mao and C. Selfridge Stability & instability of stochastic interval systems	271
R. Y. Zhang, Z. C. Wang, and J. S. Yu Linear delay difference inequalities with oscillating coefficients	287
Ravi Agarwal, Calvin Ahlbrandt, Martin Bohner, and Allan Peterson Discrete linear Hamiltonian systems: A survey	307
Douglas Anderson Normalized prepared bases for discrete symplectic matrix systems	335
Martin Bohner, Ondrej Dosly, and Werner Kratz Discrete Reid roundabout theorems	345
Shaozhu Chen, Fanwei Meng, and Zhaowen Zheng Oscillation of linear Hamiltonian systems	353
Sui Sun Cheng and Rigoberto Medina Growth conditions for a discrete heat equation with delayed control	361
Steve Clark and Don Hinton Discrete Lyapunov inequalities	369
John M. Davis, Paul W. Eloe, and Johnny Henderson Comparison of eigenvalues for discrete Lidstone boundary value problems	381
Yuri Domshlak Riccati difference equations with almost periodic coefficients in the critical state	389
Ondrej Dosly and Roman Hilscher Linear Hamiltonian difference systems: Transformations, recessive solutions, generalized reciprocity	401
G. Freiling and V. Ionescu Nonsymmetric discrete-time difference and algebraic Riccati equations: Some representation formulae and comments	421
Aristide Halanay and Vladimir Rasvan Stability and boundary value problems for discrete-time linear Hamiltonian systems	439
Betty Jean Harmsen Using remainder polynomials to solve discrete Sturm-Liouville problems	461
Stefan Hilger Special functions, Laplace and Fourier transform on measure chains	471
Roman Hilscher Linear Hamiltonian systems on time scales: Transformations	489
Vlad Ionescu Dichotomy and contractiveness for time-varying discrete descriptor systems	503
Q. Kong, H. Wu, and A. Zettl Inequalities among eigenvalues of singular Sturm-Liouville problems	517
I. Kumari and S. Umamaheswaram Conjugacy criteria for a linear second order difference equation	533
Ewa Magnucka-Blandzi and Jerzy Popenda Continued fractions and systems of two rational difference equations	547
Chuan Jun Tian, Bo Yang, and B. G. Zhang Oscillation for certain systems of functional differential equations	559
Tammy Voepel Variable transformations for fourth order differential equations	565
Vera Zeidan Nonnegativity and positivity of a quadratic functional	571
Content of Volume 8	589
Author Index	593