Dynamic Systems and Applications

Volume 12, 2003


CONTENTS

Ravi Agarwal, B. C. Dhage, and Donal O’Regan
The upper and lower solution method for differential inclusions via
a lattice fixed point theorem
1

 
Douglas Anderson and Joan Hoffacker
Green’s function for an even order mixed derivative problem
on time scales
 
9


 
Sigrun Bodine and Donald Lutz
Exponential functions on time scales: Their asymptotic behavior
and calculation
 
23


 
Martin Bohner and Gusein Guseinov
Improper integrals on time scales
 
45

 
Stephen Clark and Don Hinton
Positive eigenvalues for matrix difference equations
 
67

 
Valerie Cormani
Liouville’s formula on time scales
 
79

 
Sarah Day
Towards a rigorous numerical study of the Kot-Schaffer model
 
87

 
Paul Eloe and Qin Sheng
A continuation of the discussion on cross symmetry of solutions
 
99

 
Kristine Ey and Andreas Ruffing
Fixing the ladder operators on two types of Hermite functions
 
115

 
Tom Gard and Joan Hoffacker
Asymptotic behavior of natural growth on time scales
 
131

 
Brian Haile and Leon Hall
Polynomial and series solutions of dynamic equations on time scales
 
149

 
Johnny Henderson and William Yin
Two-point and three-point problems for fourth order dynamic equation
 
159

 
Roman Hilscher and Pavel Rehak
Riccati inequality, disconjugacy, and reciprocity principle for linear
Hamiltonian dynamic systems
 
171


 
Billur Kaymakcalan and Bonita Lawrence
Quasilinearization for a nonlinear initial value problem on time scales
 
191

 
Kirsten Messer
A second-order self-adjoint equation on a time scale
 
201

 
M. Sambandham
Hybrid fuzzy systems on time scales
 
217

 
Andreas-Schelling
The Euler-Minding analogon and other identities for continued
fractions in Banach spaces
 
229


 
N. U. Ahmed and X. Xiang
Optimal Relaxed Controls for Differential Inclusions on Banach Spaces
 
235

 
Weinian Zhang
Global Existence and Blow-up for Riccati Equation
 
251

 
Roberto Stasi
Essential Self-Adjointness and Domain Characterization for Some
Degenerate Gradient Systems
 
259


 
Jian-Ping Sun, Hai-Feng Huo, and Wan-Tong Li
Positive Solutions to Singular Nonlinear Three Point
Boundary Value Problems
 
275


 
Alexandra Rodkina and Valery Nosov
On Stability of Some Nonlinear Scalar Differential Equations
 
285

 
Yoshiaki Muroya
Partial Survival and Extinction of Species in Nonautonomous
Lotka-Volterra Systems with Delays
 
295


 
Samir H. Saker, P.Y.H. Pang and Ravi P. Agarwal
Oscillation Theorems for Second Order Nonlinear Functional
Differential Equations with Damping
 
307

 
Ravi P. Agarwal, Maria Meehan, Donal O’Regan, and Radu Precup
Location of Nonnegative Solutions for Differential Equations on
Finite and Semi-Infinite Intervals
 
323


 
Luisa Malaguti, Cristina Marcelli, and Serena Matucci
A Unifying Approach to Travelling Wavefronts for Reaction-Diffusion
Equations Arising from Genetics and Combustion Models
 
333


 
Kumud S. Altmayer
Nonlinear Elliptic Unilateral Problem Existence of Solutions
 
355

 
J. Vasundara Devi and A. S. Vatsala
Generalized Quasilinearization for an Impulsive Differential Equation
with Variable Moments of Impulse
 
369


 
M. Benchohra, J. Henderson, S.K. Ntouyas, and A. Ouahabi
Higher Order Impulsive Functional Differential Equations
with Variable Times
 
383


 
Douglas R. Anderson
Extension of A Second-Order Multi-Point Problem to Time Scales
 
393

 
Michal Kisielewicz, Mariusz Michta, and Jerzy Motyl
Set Valued Approach to Stochastic Control Part I
( Existence and Regularity Properties )
 
405


 
Michal Kisielewicz, Mariusz Michta, and Jerzy Motyl
Set Valued Approach to Stochastic Control Part II
( Viability and Semimartingale Issues)
 
433


 
M. A. Mckibben
Second-Order Damped Functional Stochastic Evolution Equations in
Hilbert Space
 
467


 
M. Godoy-Alcantar, A. Poznyak, and E. Gomez-Ramirez
Generalization of the Mangasarian-Stone Theorem for
Markov Chain Finite N-Person Games: LPM-Approach
 
489


 
Yong Zhou, Donal O’Regan, and Ravi P. Agarwal
Existence of Nonoscillatory Solutions of Higher Order Partial
Difference Equations of Neutral Type
 
509


 
Said R. Grace and Satyanarayana Dontha
Oscillation of Higher Order Neutral Difference Equations of Mixed Type
 
521

 
Fabrizio Colombo, Davide Guidetti, and Alfredo Lorenzi
Integrodifferential Identification Problems for Thermal Materials with
Memory in Non-Smooth Plane Domains
 
533


 
Content of Volume 12
 
561
 
Author Index
 
565