Dynamic Systems and Applications

Volume 7, 1998

CONTENTS

V. Lakshmikantham and X. Liu
Impulsive hybrid systems and stability theory

1
 

Q. Sheng and R .P. Agarwal
Solutions of perturbed nonlinear partial integro-differential
equations together with multi-point boundary values

 11

Z. Kamont and B.Zubik - Kowal
Numerical methods for impulsive partial differential equations

 29
 

Alessio Porretta
Regularity for entropy solutions of a class of parabolic equations
with non regular initial datum

53

A. Elbert
Linear oscillators with occasionally large damping

73

B.G. Zhang and Guang Zhang
Oscillation of nonlinear difference equations of neutral type

 85

Wan-Tong Li
Necessary and sufficient conditions for oscillation of odd order
neutral nonlinear equations with variable coefficients and their applications

 93

Huseyin Bereketoglu
Asymptotic stability in a fourth order delay differential equation

105

Jihong Wang
Feedback stabilization of a class of uncertain nonlinear dynamical systems

117

Tamas Wiandt
On the boundedness of solutions of the vector Lienard equation

 141

D. Kannan, J. Nelson Rushton and Qing Zhang
Finite dimensional exact filters for linear systems in mixed time: I. filters

 145

D. Kannan, J. Nelson Rushton and Qing Zhang
Finite dimensional exact filters for linear systems in
mixed time: II. Parameter estimation

 165

Marcellino Gaudenzi
Existence and comparison of eigenvalues for linear
differential equations of order n

 187

Alexander J. Zaslavski
On a class of dynamical systems arising in mathematical
economics. Part 1

 215

S. Heikkila, M. Kumpulainen and S. Seikkala
Uniqueness and comparison results for implicit differential equations

 237

Zahia Drici, A. S. Vatsala, and Nader Kouhestani
Generalized quasilinearization for impulsive reaction-diffusion
equations with fixed moments of impulses

 245

V. Kolmanovskii, X. Mao, A. Matasov
On approximate solving the mean-square filtering problem in
hereditary systems

 259

Garyfalos Papaschinopoulos and Christos Schinas
Existence of two nonlinear projections for a nonlinear
differential equation with piecewise constant argument

 277
H.T. Banks, N.G. Medhin, and Y. Zhang
Mathematical model and analysis of a laminated curved beam with shear
 291
R. P. Agarwal and F.H.Wong
An application of topological transversality to non-positive
higher order BVP’s
 319
Marco Frontini and Laura Gotusso
A conservative nonlinear model for a discrete vibrating string
fixed at the end points
 329
Patricia J. Y. Wong
Two-point right focal eigenvalue problems for difference equations
 345
Eduardo Liz and Juan J. Nieto
An abstract monotone iterative method and Applications
365
Chen Chang
On an Application of the saddle-point theorem
 377
Mostafa Adimy and Khalil Ezzinbi
Local existence and linearized stability for partial functional
differential equations
 389
Y. Domshlak and I. P. Stavroulakis
Oscillations of differential equations with deviating arguments
in a critical state
 405
S. K. Ntouyas
Global existence results for certain second order delay
integrodifferential equations with nonlocal conditions
 415
James H. Liu
Integrodifferential equations with non-autonomous operators
 427
Paul W. Eloe and Michael Sokol
Positive solutions and conjugate points for a boundary value problem with impulse
 

441
K. N. Murty and G. V. S. R. Deekshitulu
Non-linear lyapunov type matrix system on time scales - existence uniqueness and sensitivity analysis
 

451
Zvi Retchkiman and Gerardo Silva-Navarro
A vector lyapunov function approach for the stabilization
of nonlinear systems
 

461
S Eduardo Liz
Boundary value problems for first order impulsive integro-differential equations of Volterra type
 

481
Antonia Vecchio
Stability results on some direct quadrature
 

501
Donal O’Regan
eriodic solutions for operator equations in Rn
 

519
V. G. Romanovski and A. Rauh
Local dynamics of some algebraic maps
 

529
A. F. Ize
A comparison theorem for the analysis of the asymptotic behaviour and stability of neutral functional differential equations
 

553
 
Aa I. Alonso, Jialin Hong, and Jesus Rojo
A class of ergodic solutions of  differential equations with piecewise constant arguments
 

561
Idris Addou, Sidi Mohammed Bouguima,
Mohammed Derhab, and Yazid Said Raffed
On the number of solutions of a quasilinear elliptic class of
B.V.P. with jumping nonlinearities
 

575
Content of Volume 7
 

601
Author Index
 

604