Singularly perturbed semilinear Neumann problem with non-normally hyperbolic critical manifold

被引：0

作者：

Vrabel', Robert ^{[1
]}

机构：

[1] Inst Appl Informat Automat & Math, Fac Mat Sci & Technol, Trnava 91724, Slovakia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2010年 / 09期

关键词：

Singular perturbation; Neumann problem; Upper and lower solutions; Fredholm integral equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the problem of existence and asymptotic behavior of the solutions for the nonlinear boundary value problem epsilon y '' + ky = f(t, y), t is an element of < a, b >, k > 0, 0 < epsilon << 1 satisfying Neumann boundary conditions and where critical manifold is not normally hyperbolic. Our analysis relies on the method upper and lower solutions.

引用

页码：1 / 11

页数：11

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