Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (2): 312-319.

• Articles • Previous Articles     Next Articles

Shock Solutions for Some Singularly Perturbed Quasilinear Boundary Value Problems

 LIU Shu-De, SUN Jian-Shan, XIE Yuan-Jing   

  1. Department of Mathematics, Anhui Normal University, Anhui Wuhu 241000
  • Received:2009-12-10 Revised:2011-12-16 Online:2012-04-25 Published:2012-04-25
  • Supported by:

    国家自然科学基金(40876010)和安徽省高校自然科学基金(KJ2010A153)资助

Abstract:

Some singularly perturbed quasilinear boundary value problems with interior shock layer properties are studied under certain conditions,
the formal approximation of the problem is constructed using the mothed of composite expansions, and the existence and asymptotic behavior of solutions are proved by the fixed point theory .

Key words: Singularly perturbation, Quasilinear, Boundary value problems,  Shock solutions, The mothed of composite expansions, Fixed point theory

CLC Number: 

  • 34E15
Trendmd