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

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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.

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Classical Analysis and ODEs, Dynamical Systems, 34E05; 34A45

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http://salesiana.dossiersoluciones.com/handle/123456789/226251

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.1385
 http://arxiv.org/abs/0904.1385

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arXiv