Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (11): 1105-1116.

• 论文 • 上一篇    下一篇

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS ON INFINITE INTERVAL (II)

赵为礼   

  1. Department of Mathematics, Jilin University, Changchun
  • 收稿日期:1987-10-27 出版日期:1991-11-18 发布日期:1991-11-18

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS ON INFINITE INTERVAL (II)

Zhao Wei-li   

  1. Department of Mathematics, Jilin University, Changchun
  • Received:1987-10-27 Online:1991-11-18 Published:1991-11-18

摘要: 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 α1, β are constants, and i=0,1. Moreover, asymptotic estimates of the solutions for the above problems are given.

关键词: Singular perturbations, nonlinear, boundary value problems on infinite interval, existence of solutions, asymptotic estimates

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 α1, β are constants, and i=0,1. Moreover, asymptotic estimates of the solutions for the above problems are given.

Key words: Singular perturbations, nonlinear, boundary value problems on infinite interval, existence of solutions, asymptotic estimates

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