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arXiv:0904.1385 [math.CA]AbstractReferencesReviewsResources

On a local theory of asymptotic integration for nonlinear ordinary differential equations

Octavian G. Mustafa, Ravi P. Agarwal

Published 2009-04-08Version 1

By revisiting an asymptotic integration theory of nonlinear ordinary differential equations due to J.K. Hale and N. Onuchic [Contributions Differential Equations 2 (1963), 61--75], we improve and generalize several recent results in the literature. As an application, we study the existence of bounded positive solutions to a large class of semi-linear elliptic partial differential equations via the subsolution-supersolution approach.

Categories: math.CA, math.DS
Subjects: 34E05, 34A45
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