一类双参数奇摄动边值问题的内层解

Abstract

Abstract:

Singularly perturbation inner layer problems for a class of quasilinear second order differential equation with two parameters were discussed. Under appropriate conditions, specific upper and lower solutions were constructed, then prove the existence of the solutions; and the asymptotic estimate of solutions was given according to the theory of differential inequality and the correction of interior layer.

Key words: singular perturbation, inner layer, two parameters, differential inequalities

CLC Number:

O175.14

ZHOU Kehao, YANG Xuejie, YAO Jingsun. Inner Layer Solutions for a Class of Singularly PerturbedBoundary Value Problems with Two Parameters[J].Journal of Jilin University Science Edition, 2014, 52(02): 201-204.

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Inner Layer Solutions for a Class of Singularly PerturbedBoundary Value Problems with Two Parameters

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