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November  2010, 9(6): 1607-1616. doi: 10.3934/cpaa.2010.9.1607

Structure of the set of bounded solutions for a class of nonautonomous second order differential equations

1. 

Department of Mathematics, Lanzhou City University, Lanzhou 730070, China, China

2. 

Department of Mathematics, Tianjin University, Tianjin 300072, China

Received  May 2009 Revised  May 2010 Published  August 2010

Some precise descriptions of the structure and behavior of bounded solutions for a class of nonautonomous second order differential equations $x''+g(x)x'+f(\theta_t h,x)=0$ are investigated. The results contain many previous ones in the literature as particular cases.
Citation: Yuan Guo, Xiaofei Gao, Desheng Li. Structure of the set of bounded solutions for a class of nonautonomous second order differential equations. Communications on Pure & Applied Analysis, 2010, 9 (6) : 1607-1616. doi: 10.3934/cpaa.2010.9.1607
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