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Applied Mathematics and Mechanics

, Volume 24, Issue 12, pp 1450–1455 | Cite as

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

  • Ren Jing-li
  • Ge Wei-gao
Article

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.

Key words

singular perturbation functional differential equation boundary value problem uniformly valid asymptotic expansion 

Chinese Library Classification number

O175.5 

2000 Mathematics Subject Classification

34K10 34D15 

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References

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Ren Jing-li
    • 1
    • 2
  • Ge Wei-gao
    • 1
  1. 1.Department of MathematicsBeijing Institute of TechnologyBeijingP. R. China
  2. 2.Department of MathematicsZhengzhou UniversityZhengzhouP. R. China

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