Journal of University of Science and Technology of China ›› 2020, Vol. 50 ›› Issue (2): 115-119.DOI: 10.3969/j.issn.0253-2778.2020.02.005

• Original Paper • Previous Articles     Next Articles

The shock solution to a class of nonlinear singularly perturbed boundary value problems with time delay

ZHU Hongbao, CHEN Songlin, DU Yajie   

  1. School of Mathematics and Physics, Anhui University of Technology, Maanshan 243002,China
  • Received:2019-06-18 Revised:2019-07-24 Accepted:2019-07-24 Online:2020-02-28 Published:2019-07-24

Abstract: The shock solution for a class of singularly perturbed time delay nonlinear problem were studied .The solution was obtained by using the matching asymptotic expansion,and the uniform validity of the shock solution of the problem was proved by the theory of differential inequalities .Finally, an example was given to verify the existence of the shock solution.

Key words: nonlinear, singularly perturbed, time delay, shock solution

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