Existence nonexistence and multiplicity of periodic solutions for a kind of functional differential equation with parameter

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• 作者：Yuexiang Wu
• 关键词：Functional differential equation ; Periodic solution ; Existence ; Multiplicity ; Fixed point theorem
• 刊名：Nonlinear Analysis
• 出版年：2009
• 出版时间：1 January 2009
• 年：2009
• 卷：70
• 期：1
• 页码：433-443
• 全文大小：518 K

文摘

In this paper, we study the existence, multiplicity and nonexistence of positive ω-periodic solutions for a kind of second-order delay functional differential equation with parameter by employing the Krasnoselskii fixed point theorem for a cone map, where λ>0 is a parameter; some new results are obtained. As an application of our results, we discuss an example.