Periodic solutions of some fourth-order nonlinear differential equations

被引：9

作者：

Fan, Qiyi ^{[1
]}

Wang, Wentao ^{[2
]}

Zhou, Jinglei ^{[1
]}

机构：

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

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 233卷 / 02期

关键词：

Fourth-order nonlinear differential equations; Periodic solutions; Existence; Mawhin's continuation theorem; EXTENDED FISHER-KOLMOGOROV; MULTIPLICITY; EXISTENCE;

D O I：

10.1016/j.cam.2009.07.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using inequality techniques and coincidence degree theory, new results are provided concerning the existence of T-periodic solutions for fourth-order nonlinear differential equations. Two illustrative examples are provided to demonstrate that the results in this paper hold under weaker conditions than the existing ones, and are more effective. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：121 / 126

页数：6

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