Existence and uniqueness of periodic solutions of second-order nonlinear differential equations

被引：3

作者：

Jia, Renwei ^{[1
]}

Shao, Jianying ^{[2
]}

机构：

[1] Hunan Univ Arts & Sci, Coll Math & Comp Sci, Changde 415000, Hunan, Peoples R China

[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

second-order nonlinear differential equations; periodic solutions; Mawhin's continuation theorem; EXTENDED FISHER-KOLMOGOROV; MULTIPLICITY;

D O I：

10.1186/1029-242X-2013-115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the following second-order nonlinear differential equation: x((2n))(t) + Sigma(n+1)(k=1) f(k)(x((k-1))(t))x((k))(t) - g(t,x(t)) = e(t). By applying Mawhin's continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence and uniqueness of periodic solutions for the above equation. Some recent results are known as the special cases of ours.

引用

页数：10

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