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A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem 被引量:1

A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem
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摘要 The shock solution for the semilinear singularly perturbed two-point boundary value problem was studied. Under suitable conditions and using the theory of differential inequalities, the existence and asymptotic behavior of the solution for the original boundary value problems are discussed. The uniformly effective asymptotic expansion and estimation of solution u(x, ε) were obtained. The shock solution for the semilinear singularly perturbed two-point boundary value problem was studied. Under suitable conditions and using the theory of differential inequalities, the existence and asymptotic behavior of the solution for the original boundary value problems are discussed. The uniformly effective asymptotic expansion and estimation of solution u(x, ε) were obtained.
作者 王庚
出处 《Journal of Southwest Jiaotong University(English Edition)》 2004年第2期190-192,共3页 西南交通大学学报(英文版)
基金 TheprojectofMinistryofEducationofChina(No .12 83B0 10 71)
关键词 Shock solution Semilinear equation Boundary value problem Singular perturbation Shock solution Semilinear equation Boundary value problem Singular perturbation
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  • 1de Jager E M,Theory Perturbations,1996年
  • 2Pao C V,Lecture Notes in Pure and Applied Mathematics.162,1994年,162卷,277页

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