Singular perturbations for third-order nonlinear multi-point boundary value problem

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:218

Article

Du, ZJ ; Ge, WG ; Zhou, MG

关键词: singular perturbations;    nonlinear boundary value problem;    existence and uniqueness;    asymptotic estimates;    upper and lower solutions;    Leray-Schauder degree;   

DOI  :  10.1016/j.jde.2005.01.005

来源: Elsevier

【 摘 要 】

This paper is devoted to study the following third-order multi-point singularly perturbed boundary value problem [GRAPHICS] where a, b, c, d >= 0, A, B is an element of R, a + b > 0, c + d > 0, alpha(i) <= 0, beta(i) < 0, i = 1, 2,..., n - 2, 0 < xi(1) < 2 < (...) <, xi(n-2) < 1, and 0 < eta(1) < 2 <... < eta(2) < 1. The existence, uniqueness and asymptotic estimates of solutions of the boundary value problem are give by using priori estimates, differential inequalities technique and Leray-Schauder degree theory. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free