LIMIT CYCLES AND BOUNDED TRAJECTORIES FOR A NONLINEAR SECOND-ORDER DIFFERENTIAL EQUATION

被引：0
|
作者：
Gonzalez, Henry [1 ]
机构：
[1] Obuda Univ, Fac Light Ind & Environm Protect Engn, H-1034 Budapest, Hungary
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年
关键词：
Ordinary differential equations; phase plane analysis; limit cycles; maximum deviation trajectories;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we determine the trajectories of maximum deviation, and the closed trajectories of maximum deviation for nonlinear differential equations of the form y + 2a( t, y, y)y + b(t, y, y)y = c(t, y, y) where the coefficients and the right-hand side are piecewise continuous functions in t and continuous in y, y. Also we find necessary and sufficient conditions for the boundedness of all the trajectories.
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页数：9
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