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

Authors:
Ruixi Liang;Jianhua Shen
Affiliations:
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China;Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China and Department of Mathematics, College of Huaihua, Huaihua, Hunan 418008, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 4
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Abstract

This paper is concerned with the existence of extreme solutions of the periodic boundary value problem for a class of first order impulsive functional differential equations. We introduce new concept of lower and upper solutions and present that the method of lower and upper solutions coupled with monotone iterative technique is still valid. Meanwhile, we extend previous results.