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

โœ Scribed by Yuexiang Wu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
519 KB
Volume
70
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In this paper, we study the existence, multiplicity and nonexistence of positive ฯ‰-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 ฮป > 0 is a parameter; some new results are obtained. As an application of our results, we discuss an example.

๐Ÿ“œ SIMILAR VOLUMES

Existence of positive periodic solutions
Existence of positive periodic solutions for two kinds of neutral functional differential equations
โœ Yan Luo; Weibing Wang; Jianhua Shen ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 203 KB

In this work, we deal with a new existence theory for positive periodic solutions for two kinds of neutral functional differential equations by employing the Krasnoselskii fixed-point theorem. Applying our results to various mathematical models we improve some previous results.