Acta mathematica scientia,Series A

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On a Class of Singularly Perturbed Problems with

Boundary Perturbation

Tang Rongrong

  

  1. Department of Mathematics, Huzhou Teachers College, Huzhou 313000;

    Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200240

  • Received:2006-02-08 Revised:2007-07-05 Online:2008-06-25 Published:2008-06-25

Abstract: By using the asymptotic theory, a class of singularly perturbed problems with boundary perturbation is considered. Under the appropriate conditions, the asymptotic solution and the existence conditions of the solution are obtained, and from the result a propagation problem in mural wave is applied.

Key words: Boundary perturbation, Singular perturbation, Solvable conditions, Asymptotic solution

CLC Number: 

  • 34E20
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