Singularly Perturbed Boundary Value Problems for Semi-Linear Retarded Differential Equations With Nonlinear Boundary Conditions

REN Jing-li; GE Wei-gao

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(12): 1285-1290

REN Jing-li, GE Wei-gao. Singularly Perturbed Boundary Value Problems for Semi-Linear Retarded Differential Equations With Nonlinear Boundary Conditions[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1285-1290.

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Singularly Perturbed Boundary Value Problems for Semi-Linear Retarded Differential Equations With Nonlinear Boundary Conditions

REN Jing-li^1,2,
GE Wei-gao¹

1.
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China;
2.
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China

Received Date: 2001-04-19
Rev Recd Date: 2003-05-02
Publish Date: 2003-12-15

Abstract

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

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References(7)

References

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