EXISTENCE OF PERIODIC SOLUTIONS FOR FIRST ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH A DEVIATING ARGUMENT

EXISTENCE OF PERIODIC SOLUTIONS FOR FIRST ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH A DEVIATING ARGUMENT

S. Benhammou, L. Moutaouekkil

[PDF]

Abstract

In this paper, we study the existence of periodic solutions for a kind of first-order impulsive differential equation with a deviating argument by using Mawhin’s continuation theorem. Meanwhile, we give an exampleto demonstrate our result.

Keywords

Impulsive differential equations, Existence, periodic solution,Mawhin’s continuation theorem.