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On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations

Published online by Cambridge University Press:  20 November 2018

Ravi P. Agarwal  and
Octavian G. Mustafa
Ravi P. Agarwal
Affiliation:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, U.S.A. e-mail: agarwal@fit.edu
Octavian G. Mustafa
Affiliation:
Faculty of Mathematics, D.A.L., University of Craiova, Romania e-mail: octaviangenghiz@yahoo.com
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Abstract

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We improve several recent results in the asymptotic integration theory of nonlinear ordinary differential equations via a variant of the method devised by J. K. Hale and N. Onuchic The results are used for investigating the existence of positive solutions to certain reaction-diffusion equations.

Keywords

34E1034C1035Q35asymptotic integrationEmden-Fowler differential equationreaction-diffusion equation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 1 , 01 March 2012 , pp. 3 - 14
Copyright
Copyright © Canadian Mathematical Society 2012

References

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