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Singular perturbation of boundary value problems for second order nonlinear ordinary differential equations on infinite interval (I)

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Abstract

In this paper existence, uniqueness and asymptotic estimations of solutions of the boundary value problems on infinite interval for the second order nonlinear equation depending singularly on a small parameter ɛ>0

$$\left\{ {\begin{array}{*{20}c} {\varepsilon y'' = f(x,y,y')} \\ {y^{(i)} (0) = \alpha _i ,y(\infty ) = \beta } \\ \end{array} } \right.$$

are examined, where αi, Β are constants, and i=0,1.

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Authors and Affiliations

  1. Department of Mathematics, Jilin University, Changchun

    Zhao Wei-li

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  1. Zhao Wei-li
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Communicated by Dai Shi-qiang

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Wei-li, Z. Singular perturbation of boundary value problems for second order nonlinear ordinary differential equations on infinite interval (I). Appl Math Mech 10, 45–54 (1989). https://doi.org/10.1007/BF02018491

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  • DOI: https://doi.org/10.1007/BF02018491

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