Boundedness of solutions for asymmetric Duffing equations

被引：0

作者：

Mi, Lufang ^{[1
]}

Zhang, Pingping ^{[1
]}

Xu, Huazhong ^{[1
]}

机构：

[1] Binzhou Univ, Dept Math & Informat Sci, Binzhou 256603, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 07期

关键词：

Quasiperiodic solution; Duffing equation; Moser's small twist theorem; Boundedness; EXISTENCE;

D O I：

10.1016/j.amc.2010.08.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the boundedness of all the solutions and the existence of quasiperiodic solutions for some Duffing equations x g(x) = e(t), where e(t) is of period 1, and g : R -> R possesses the characters: g(x) is superlinear when x >= d(0), d(0) is a positive constant and g(x) is semilinear when x <= 0. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3102 / 3112

页数：11

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