On a local theory of asymptotic integration for nonlinear ordinary differential equations
Classical Analysis and ODEs
2009-04-09 v1 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.0904.1385,
title = {On a local theory of asymptotic integration for nonlinear ordinary differential equations},
author = {Octavian G. Mustafa and Ravi P. Agarwal},
journal= {arXiv preprint arXiv:0904.1385},
year = {2009}
}