Existence of positive periodic solutions for a second-order nonlinear neutral differential equation with variable delay

Advances in Nonlinear Analysis

article

Abdelouaheb Ardjouni¹  Ahcene Djoudi¹ 

[1] Department of Mathematics, Faculty of Sciences, University of Annaba

关键词: Positive periodic solutions;    nonlinear neutral differential equations;    fixed point theorem;   

DOI  :  10.1515/anona-2012-0024

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

Abstract. In this article we study the existence of positive periodic solutions of the second-order nonlinear neutral differential equation with variable delay The main tool employed here is the Krasnoselskii's hybrid fixed point theorem dealing with a sum of two mappings, one is a contraction and the other is compact. The results obtained here generalize the work of Yankson [Electron. J. Differential Equations 2012 (2012), paper no. 14, 1–6].

【 授权许可】

CC BY