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On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations

  Published:2011-04-06
 Printed: Mar 2012
  • Ravi P. Agarwal,
    Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, U.S.A.
  • Octavian G. Mustafa,
    Faculty of Mathematics, D.A.L., University of Craiova, Romania
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Abstract

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: asymptotic integration, Emden-Fowler differential equation, reaction-diffusion equation asymptotic integration, Emden-Fowler differential equation, reaction-diffusion equation
MSC Classifications: 34E10, 34C10, 35Q35 show english descriptions Perturbations, asymptotics
Oscillation theory, zeros, disconjugacy and comparison theory
PDEs in connection with fluid mechanics
34E10 - Perturbations, asymptotics
34C10 - Oscillation theory, zeros, disconjugacy and comparison theory
35Q35 - PDEs in connection with fluid mechanics
 

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