Anti-periodic solutions for a class of nonlinear nth-order differential equations with delays

被引：35

作者：

Fan, Qiyi ^{[3
]}

Wang, Wentao ^{[2
]}

Yi, Xuejun ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

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

[3] Hunan Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nth-order differential equations; Delays; Anti-periodic solution; Existence and uniqueness; Leray-Schauder degree; PERIODIC-SOLUTIONS; DEVIATING ARGUMENT; RAYLEIGH EQUATION; EXISTENCE; INTERPOLATION; KIND;

D O I：

10.1016/j.cam.2009.01.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in this paper, we use the Leray-Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with delays of the form x((n)) (t) + f (t, x((n-1)) (t)) + g (t, x(t - tau (t))) = e(t). (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：762 / 769

页数：8

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