Internal Layers for a Singularly Perturbed Second-Order Quasilinear Differential Equation with Discontinuous Right-Hand Side

被引：0

作者：

Mingkang Ni

Yafei Pang

N. T. Levashova

O. A. Nikolaeva

机构：

[1] East China Normal University,

[2] Lomonosov Moscow State University,undefined

来源：

Differential Equations | 2017年 / 53卷

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摘要：

A singularly perturbed boundary value problem for a second-order quasilinear ordinary differential equation is studied. We consider a new class of problems in which the nonlinearities experience discontinuities, which leads to the appearance of sharp transition layers in a neighborhood of the points of discontinuity. The existence of solutions is proved, and their asymptotic expansion with an internal transition layer is constructed.

引用

页码：1567 / 1577

页数：10

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