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

2009/04/08 by Octavian G. Mustafa, Mustafa, Octavian G., Ravi P. Agarwal +1
Computer Science · Mathematics · #34A45 #34E05 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0904.1385

openalex publication_date 2009/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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