Periodic solution of a Mathieu-Duffing type equation

被引：38
作者：
Esmailzadeh, E
NakhaieJazar, G
机构：
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1997年 / 32卷 / 05期
关键词：
Mathieu-Duffing type equation; non-linear parametric vibration; non-autonomous systems; periodic condition;
D O I：
10.1016/S0020-7462(96)00119-9
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
It is found that there exists necessary and sufficient conditions for the existence of at least one periodic solution for a type of parametric second-order ordinary differential equations, known as the Mathieu-Duffing equation. The correctness of the conditions have been pointed out by the Schauder's fixed point theorem, and the validity of the assumptions has been shown by the analysis of an illustrative example in non-linear vibration. (C) 1997 Elsevier Science Ltd.
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页码：905 / 912
页数：8
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