Periodic boundary value problem for first-order impulsive functional differential equations

Authors:
Zhiguo Luo;Zhujun Jing
Affiliations:
Department of Mathematics, Hunan Normal University, Changsha 410081, PR China;Department of Mathematics, Hunan Normal University, Changsha 410081, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

This paper discusses the periodic boundary value problem for a class of first-order impulsive functional differential equations. We establish several existence results under weaker hypotheses by using the Leray-Schauder alternative, the lower and upper solution method and the monotone iterative technique. The corresponding results in the literature are improved or extended, some examples are also given to illustrate the advantage of the results.