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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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