二阶非线性无穷边值问题的奇摄动(Ⅱ)
Singular Perturbation of Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations on Infinite Interval (Ⅱ)
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摘要: 本文讨论了含小参数ε>0的二阶非线性奇摄动无穷边值问题(其中ai,β为常数,i=0,1)之解的存在性,并且给出了解的渐近估计式.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 αi, β are constants, and i=0,1. Moreover, asymptotic estimates of the solutions for the above problems are given.
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