Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1128-1132.

• Articles • Previous Articles     Next Articles

The Asymptotic Behavior of Solution for a Class of Nonlinear Singularly Perturbed Robin Problem

Tang Rongrong   

  1. (Faculty of Science, Huzhou Teachers College, Huzhou 313000|Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200240)
  • Received:2006-12-31 Revised:2008-09-28 Online:2008-12-25 Published:2008-12-25
  • Contact: Tang Rongrong

Abstract:

In this paper, by using the singular perturbation theory and the method for
differential inequality, the asymptotic behavior for a class of nonlinear
singularly perturbed Robin problems are considered. The existence of solution
is proved and the uniformly valid asymptotic expansions for arbitrary nth-order are obtained.

Key words: Nonlinear, Singular perturbation, Asymptotic behavior, Differential inequality

CLC Number: 

  • 34E15
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