Almost periodicity of impulsive Hematopoiesis model with infinite delay

Periodicity in Nonlinear Systems with Infinite Delay

Using Schaefer’s fixed-point theorem, enabling us to show that if there is an a priori bound on all possible T -periodic solutions of an infinite delay Volterra difference equation, then there is a T -periodic solution. We apply our results to scalar infinite delay Volterra difference equations in which, the a priori bound is established by means of nonnegative definite Lyapunov functionals. AM...

-total Stability and Almost Periodicity for Some Partial Functional Differential Equations with Infinite Delay

L is a continuous function from R× into X and f is a continuous function from R to X . The theory of functional differential equations with infinite delay has been developed by several authors. The fundamental task of that kind of equations is the choice of phase space . Since the history function t→ ut is not continuous in general if u : (−∞,T] → X is continuous (where T > 0). The paper [9] co...

Almost periodic solutions for impulsive neural networks with delay

In the present paper the problems of existence and uniqueness of almost periodic solutions for impulsive cellular neural networks with delay are considered. 2006 Elsevier Inc. All rights reserved.

Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay

Periodicity in a System of Differential Equations with Finite Delay

The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.