Singular Perturbation of Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations on Infinite Interval (Ⅱ)

Zhao Wei-li

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(11): 1037-1048

Zhao Wei-li. Singular Perturbation of Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations on Infinite Interval (Ⅱ)[J]. Applied Mathematics and Mechanics, 1991, 12(11): 1037-1048.

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Singular Perturbation of Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations on Infinite Interval (Ⅱ)

Zhao Wei-li

Department of Mathematics, Jilin University, Changchun

Received Date: 1987-10-27
Publish Date: 1991-11-15

Abstract

Abstract

In this paper the existence of solutions of the singularly perturbed boundary value problems on infinite interval for the second order nonlinear equation containing a small parameter is ε>0: examined, where α_i, β are constants, and i=0,1. Moreover, asymptotic estimates of the solutions for the above problems are given.
- Singular perturbations,
- nonlinear,
- boundary value problems on infinite interval,
- existence of solutions,
- asymptotic estimates

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References(12)

References

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