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Singularly perturbed boundary value problems for semi-linear retarded differential equations with nonlinear boundary conditions

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Abstract

A boundary value problems for functional differenatial equations, with nonlinear boundary condition, is studied by the theorem of differential inequality. Using new method to construct the upper solution and lower solution, sufficient conditions for the existence of the problems' solution are established. A uniformly valid asymptotic expansions of the solution is also given.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, P. R. China

    Ren Jing-li (Lecturer, Doctor Candidate) & Ge Wei-gao

  2. Department of Mathematics, Zhengzhou University, 450052, Zhengzhou, P. R. China

    Ren Jing-li (Lecturer, Doctor Candidate)

Authors
  1. Ren Jing-li
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  2. Ge Wei-gao
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Additional information

Communicated by Lin Zong-chi, Original Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China (19871005)

Biography: Ren Jing-li (1973≈)

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Jing-li, R., Wei-gao, G. Singularly perturbed boundary value problems for semi-linear retarded differential equations with nonlinear boundary conditions. Appl Math Mech 24, 1450–1455 (2003). https://doi.org/10.1007/BF02435586

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  • DOI: https://doi.org/10.1007/BF02435586

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Chinese Library Classification number

2000 Mathematics Subject Classification

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