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 ɛ>0\(\begin{gathered} \varepsilon y = f(x,y,y\prime ), \hfill \\ y^{(1)} (0) = a_1 , y(\infty ) = \beta \hfill \\ \end{gathered} \) is examined, where\(\alpha _i \), β are constants, and i=0,1. Moreover, asymptotic estimates of the solutions for the above problems are given.
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Communicated by Jiang Fu-ru and 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 (II). Appl Math Mech 12, 1105–1116 (1991). https://doi.org/10.1007/BF02457494
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DOI: https://doi.org/10.1007/BF02457494