Articles

THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM

  • Mo Jiaqi ,
  • Wang Hui ,
  • Lin Wantao
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  • 1.Department of Mathemtics, Anhui Normal University, Wuhu 241000, China;
    2.Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China;
    3.Department of Mathematics, Huzhou Teachers' College, Huzhou 313000, China

Received date: 2006-07-15

  Revised date: 1900-01-01

  Online published: 2008-07-20

Abstract

The solvability for a class of singularly perturbed Robin problem of quasi-linear differential system is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. And using the theory of differential inequality the uniform validity of the asymptotic expansions for solution is proved.

Cite this article

Mo Jiaqi , Wang Hui , Lin Wantao . THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM[J]. Acta mathematica scientia, Series B, 2008 , 28(3) : 495 -500 . DOI: 10.1016/S0252-9602(08)60051-X

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