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Shock solution for a quasilinear singularly perturbed problem#br#

YANG Xue-jie, SUN Guo-zheng*, CHEN Wen   

  1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China
  • Received:2013-12-30 Online:2014-04-20 Published:2014-06-03

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Abstract: A singularly perturbed differential equation boundary value problem with interior layer phenomenon is studied. The zero order approximate solution of this problem is constructed using the method of composite expansions and analytical skills. According to the fixed point theorem, the existence of solution is proved and the error estimate of asymptotic solution is given.

Key words: singular perturbation, interior layer, the method of composite expansion, fixed point theorem

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