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Limiting behaviours of non-oscillatory solutions of a pair of coupled nonlinear differential equations

Published online by Cambridge University Press:  20 January 2009

Wan-Tong Li  and
Sui Sun Cheng
Wan-Tong Li
Affiliation:
Department of Mathematics, Lanzhou University, Lanzhou, Gansu 730000, People's Republic of China
Sui Sun Cheng
Affiliation:
Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, Republic of China
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Abstract

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A pair of coupled nonlinear differential equations is studied and asymptotic properties of its non-oscillatory solutions are obtained. In particular, we provide classification schemes for these solutions which are justified by existence criteria.

Keywords

coupled differential equationnon-oscillatory solutionclassification schemeSchauder's Fixed Point TheoremKnaster's Fixed Point Theorem
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 3 , October 2000 , pp. 457 - 473
Copyright
Copyright © Edinburgh Mathematical Society 2000

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