(ω,c)-Periodic Mild Solutions to Non-Autonomous Abstract Differential Equations

On Periodic Solutions of Abstract Differential Equations

Pseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay

In this paper we give some sufficient conditions, which ensure the existence of pseudo almost periodic solutions to some classes of non-autonomous first-order partial neutral functional-differential with unbounded delay. c © 2006 Elsevier Ltd. All rights reserved.

ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

Here we consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section 1. Also we include generalizations of these results to vector differential equations and examinations of some practical examples by numerical simulation, section 2. For some special cases t...

Periodic Solutions of Second Order Non-autonomous Differential Systems

We study the existence of nonnegative solutions for second order nonlinear differential systems with periodic boundary conditions. In this class of problems, where the associated Green’s function may take on negative values, and the nonlinear term is allowed to be singular. Our method is based on the Guo-Krasnosel’skii fixed point theorem of cone expansion and compression type, involving a new ...

Mild Solutions for Non-autonomous Impulsive Semi-linear Differential Equations with Iterated Deviating Arguments

In this work, we consider an impulsive non-autonomous semilinear equation with iterated deviating arguments in a Banach space. We establish the existence and uniqueness of a mild solution. Also we present an example that illustrates our main result.