asymptotic integration theory
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On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations

2012 ◽  
Vol 55 (1) ◽  
pp. 3-14
Author(s):  
Ravi P. Agarwal ◽  
Octavian G. Mustafa
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Asymptotic Integration ◽  
Integration Theory ◽  
Local Theory ◽  
Nonlinear Ordinary Differential Equations ◽  
Existence Of Positive Solutions ◽  
Asymptotic Integration Theory

AbstractWe 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.

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