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Boundedness of solutions of a class of nonlinear systems

Published online by Cambridge University Press:  15 January 2004

XIAOJING YANG
XIAOJING YANG
Affiliation:
Department of Mathematics, Tsinghua University, Beijing, China.
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Abstract

In this paper, we are concerned with the boundedness of all the solutions of the two-dimensional differential system $$ \left.\begin{array}{@{}l@{}}x'\,{=}\,{-}|y|^{p-2} y+f(t)\\ y'\,{=}\,|x|^{q-2} x+g(t) \end{array}\right\} $$ where $1\,{<}\,p$, $1\,{<}\,q\,{<}\,2$ and $5pq\,{>}\,3p+4q$, $pq/(p+q)\,{<}\,1$, $f, g$ are $C^5$ 1-periodic functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 1 , January 2004 , pp. 185 - 193
Copyright
2004 Cambridge Philosophical Society

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