Acta mathematica scientia,Series B

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

Mo Jiaqi; Wang Hui; Lin Wantao   

  1. 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:2006-07-15 Revised:1900-01-01 Online:2008-07-20 Published:2008-07-20
  • Contact: Mo Jiaqi

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.

Key words: Solvability, singular perturbation, differential system, boundary layer

CLC Number: 

  • 34E15
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