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Dichotomies of solutions for a class of second-order nonlinear differential equations

Published online by Cambridge University Press:  25 July 2002

Desheng Li
Desheng Li
Affiliation:
Department of Mathematics and Information Science, Yantai University, Yantai 264005, Shandong, P.R. China e-mail: [email protected]
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Abstract

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This paper considers the long-time behavior of solutions for the Cauchy problem of a class of second-order nonlinear differential equations: -x''+ f(t,x,x')x'+g(x)=h(t). Under appropriate conditions it is shown that the solutions of the problem possess some dichotomy properties.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 2 , May 2002 , pp. 339 - 348
Copyright
2002 Glasgow Mathematical Journal Trust

Footnotes

Supported by NNSF of China (10071066).