A priori bounds for periodic solutions of a Duffing equation

被引：3

作者：

Wu X. ^{[1
]}

Li J. ^{[1
]}

Zhou Y. ^{[2
]}

机构：

[1] Department of Mathematics, Shaoyang University

[2] School of Mathematics and Computational Science, Xiangtan University, Xiangtan

来源：

Journal of Applied Mathematics and Computing | 2008年 / 26卷 / 1-2期

基金：

高等学校博士学科点专项科研基金;

关键词：

Coincidence degree theorem; Duffing equation; Liapunov function; Periodic solution;

D O I：

10.1007/s12190-007-0024-1

中图分类号：

学科分类号：

摘要：

In this paper a well known Duffing type equation is considered. By means of a Liapunov function and careful estimation, we establish a priori bounds for periodic solutions and their derived functions. Coincidence theorems can then be applied to yield sufficient conditions for the existence of periodic solutions. Our conclusion improve several well known results in the literature. © 2008 KSCAM and Springer-Verlag.

引用

页码：535 / 543

页数：8

共 5 条

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[2]

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[3]

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[4]

Ma S.W., Wang Z.C., Yu J.S., Periodic solutions of Duffing equations with delay, Differ. Equ. Dyn. Syst., 8, 3–4, pp. 243-255, (2000)

[5]

Gaines R.E., Mawhin J.L., Coincidence Degree and Nonlinear Differential Equations, (1977)

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