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Open Access Research

Delayed phenomenon of loss of stability of solutions in a second-order quasi-linear singularly perturbed boundary value problem with a turning point

Zheyan Zhou* and Jianhe Shen

Author Affiliations

School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, People's Republic of China

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Boundary Value Problems 2011, 2011:35  doi:10.1186/1687-2770-2011-35

Published: 14 October 2011

Abstract

Based on the method of differential inequalities, by constructing the upper ad lower solutions suitably, delayed phenomenon of loss of stability of solutions in a second-order quasi-linear singularly perturbed Dirichlet boundary value problem with a turning point is found in this paper. An illustrating example is performed to verify the obtained results.

Keywords:
Upper and lower solutions; singular perturbation; turning point; delay of loss of stability