Dynamic Systems and Applications

Volume 6, 1997


CONTENTS

K. Gopalsamy and P. Liu
Dynamics of a logistic map with fading memory
 


1

Khader Ahmad and Adnan Hamoui
Dynamical systems of proper characteristic 0


11

S. Migorski
Some remarks on external solutions of nonlinear first order evolution inclusions


21

Leonadro Mora and Neptali Romero
Moser=s invariant curves and homoclinic bifurcations


29

X. Wen, Z. Ma, P. Fergola and C. Tenneriello
Effects of toxicants on chemostat models with n populations competing
for a critical nutrient


43
 

Egone Pertotti
Characterizing the existence of symmetric solutions for matrix
equations X'' + AX = 0


63

Xinzhi Liu
Periodic boundary value problems for differential equations with finite delay


73

Andrea Di Liddo and Lucia Maddalena
Nonlocal models for the spread of new products in spatially structured markets


85

Jan Seidler and Ivo Vrkoc
The generalized Gronwall lemma fails under random stopping


101

A. H. Tsoi and Bo Zhang
Practical stability of Ito type Nonlinear stochastic differential
systems and related control problems


107
 

Marcelo da Silva Montenegro
Uniqueness of nonnegative solutions of quasilinear elliptic equations


125

S. I. Yuen
Quenching rates for degenerate semilinear parabolic equations
         
          139
 
Addolorata Salvatore
Homoclinic orbits for a class of strictly convex Hamiltonian systems
          153
 
L. B. Ryashko and H. Schurz
Mean square stability analysis of some linear stochastic systems
         
          165
 
Peter Y.H. Pang and Ravi P. Agarwal
Symmetries of difference systems on manifolds
 
          
           191
 
Myron K. Grammatikopolous and Stepan A. Tersian
On the periodic solutions of nonlinear neutral delay differential quations
 
           197
 
Wang Wendi, Chen Lansun and Lu Zhengyi
Global stability of a population dispersal in a two-patch environment

           207
 
Donald O’Regan
Existence of nonegative solutions for a class of semi-positone problems
 
          217
Beatrice Paternoster
Composite symplectic Runge-Kutta(-Nystrom) methods

          231
 
H. W. J. Lee, K. L.Teo, V. Rehbock and L. S. Jennings
Control parametrization enhancing technique for time optimal control problems

          243
 
H. Bereketoglu and I. Gyori
On the boundedness of the solutions of a third order nonlinear differential equation

          263
Fabrizio Colombo
Quasilinear parabolic equations in Ck spaces

           271
 
Claudio Lazzari
Persistence of heteroclinic solutions on center manifolds of perturbed maps

           297
 
L. E. Bobisud and J. E. Calvert
A priori bounds, forbidden values, and existence for
nonlocal problems for steady-state Burgers’ equation

          323

C. Silva-Navarro and Zvi Retchkiman
Stability analysis of singular perturbed systems via vector Lyapunov methods

          339
 
M. Iannelli and M. Martcheva
A semigroup approach to the well posedness of an
age-structured two-sex population model
 
          353
 
M. I. Gil’
On exponential stability of nonlinear nonautonomous evolution equations

           371
 
G. Arioli and J. Chabrowski
Periodic motions of a dynamical System consisting of an
infinite lattice of particles

           387

Sung Kyu Choi, Yoon Hoe Goo and Nam Jip Koo
Lipschitz and exponential asymptotic stability for nonlinear
functional differential Systems

           397

B. G. Zhang and H. Wang
The existence of nonoscillatory and oscillatory solutions
of neutral difference equations
 
           411
Janos Karsai
On the existence of a solution tending to zero of nonlinear differential equations
 
           429
P. Clement and G. Da Prato
White noise perturbation of the heat equation in materials with memory
 
          441
Z.C. Okonkwo and G.S. Ladde
Ito-type stochastic differential systems with abstract Volterra operators
and their control

          461

 
Ravi P. Agarwal and M. Sambandham
Multipoint Boundary Value Problems for Discrete Systems

         469
 
T. Hara, R. Miyazaki and T. Morii
Asymptotic stability condition for linear differential-difference equations
with N delays
 
         493
 
E. Ait Dads, K. Ezzinbi and S. Fatajou
Weakly almost periodic solutions of the inhomogeneous linear equations
and periodic processes in a Banach space

         507

Xinzhi Liu
Periodic boundary value problems for impulsive systems containing
Hammerstein type Integrals

         517

Horng-Jaan Li and Cheh-Chih Yeh
Oscillation of second order sublinear differential equations

         529
 
Ramon Navarro
Focal oscillation for second order systems

         535
 
Soon-Mo Jung
Hyers-Ulam-Rassias stability of functional equations

         541
 
L. Berezansky and E. Braverman
On non-oscillation of a scalar delay differential equation
 
          567
O. Akinyele
Cone-valued Lyapunov functions and stability of Non-linear boundary
value problems

          581

Xilin Fu and Liqin Zhang
Razumikhin-type theorems on boundedness in terms of two measures
for functional differential systems
 
          589

Content of Volume 6
 
          599
Author Index
 
          603