具有偏差变元的二阶泛函微分方程周期解的存在性

Abstract

Abstract:

In this paper, by using the abstract continuation theorem of k-set contractive operator and some analysis
techniques, the authors study the existence of periodic solutions for a kind of second order functional differential equations with deviating arguments. The results improve and extend the main results of the papers [1-2].

Key words: Periodic solution, Deviating argument, Functional differential equation, k-set contractive operator

CLC Number:

34K15

Cite this article

ZHANG Chi, WANG Quan-Xi. The Existence of Periodic Solutions for a Kind of Second Order Functional Differential Equations with Deviating Arguments[J].Acta mathematica scientia,Series A, 2009, 29(2): 253-261.

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References

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[2]王根强, 燕居让. 二阶非线性中立型泛函微分方程周期解的存在性. 数学学报, 2004, 47(3): 379--384

[3] 李永昆. 具有偏差变元的Liénard型方程的周期解. 数学研究与评论, 1998, 18(4): 565--570

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[5] 房辉. 高阶非线性中立型微分方程的周期解. 纯粹数学与应用数学, 2000, 16(2): 14--25

[6] 曹显兵. 一类多滞量周期扰动非线性系统的周期解. 应用数学和力学, 2003, 24(1): 105--110

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The Existence of Periodic Solutions for a Kind of Second Order Functional Differential Equations with Deviating Arguments

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