Bounds for periodic solutions of vector second-order nonlinear differential equations

被引：2

作者：

Zevin, A. A.

Pinsky, M. A.

机构：

[1] Ukrainian Acad Sci, Transmag Res Inst, UA-49005 Dnepropetrovsk, Ukraine

[2] Univ Nevada, Dept Math, Reno, NV 89557 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 01期

关键词：

nonlinear equations; periodic solutions; bounds for amplitudes and periods;

D O I：

10.1016/j.jmaa.2006.10.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Upper bounds for the amplitudes and lower bounds for the periods of periodic solutions of coupled second-order nonlinear differential equations are found. The results are expressed in a solution of a positive operator equation which is associated with the considered system. Cases are indicated for which the obtained bounds are precise and surprising behavior of the amplitude and periods of such systems under insertion of certain terms is revealed. The results are illustrated by examples. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：390 / 399

页数：10

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