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SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS ON INFINITE INTERVAL(Ⅱ)
引用本文:赵为礼. SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS ON INFINITE INTERVAL(Ⅱ)[J]. 应用数学和力学(英文版), 1991, 12(11): 1105-1116. DOI: 10.1007/BF02457494
作者姓名:赵为礼
作者单位:Department of
摘    要:In this paper the existence of solutions of the singularly perturbed boundary valueproblems on infinite interval for the second order nonlinear equation containing a smallparameterε>0 :is examined,whereα_i,βare constants,and i=0,1 .Moreover,asymptoticestimates of the solutions for the above problems are given.

收稿时间:1987-10-27

Singular perturbation of boundary value problems for second order nonlinear ordinary differential equations on infinite interval (II)
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(English Edition), 1991, 12(11): 1105-1116. DOI: 10.1007/BF02457494
Authors:Zhao Wei-li
Affiliation:Department of Mathematics, Jilin University, Changchun
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 parameteris examined, where are constants, and i=0,1 . Moreover, asymptotic estimates of the solutions for the above problems are given.
Keywords:Singular perturbations   nonlinear   boundary value problems on infinite interval   existence of solutions   asymptotic estimates.
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