Existence and iteration of positive solution for a three-point boundary value problem with a p-Laplacian operator

被引：4

作者：

Ma D.-X. ^{[1
,2
]}

机构：

[1] Department of Mathematics, North China Electric Power University

[2] Department of Mathematics and Physics, North China Electric Power University (Beijing)

来源：

Journal of Applied Mathematics and Computing | 2007年 / 25卷 / 1-2期

关键词：

Iteration; p-Laplacian; Positive solution; Three-point;

D O I：

10.1007/BF02832357

中图分类号：

学科分类号：

摘要：

In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for BVPs { (φp(u′))′ + q(t)f(t, u) = 0, 0 < t < 1, u(0) - B(u′(η)) = 0, u′(1) = 0 and {(φp(u′))′ + q(t)f(t, u) = 0, 0 < t < 1, u′(0) = 0, u(1) + B(u′(η)) = 0. The main tool is the monotone iterative technique. Here, the coefficient q(t) may be singular at t = 0, 1. © 2007 Korean Society for Computational & Applied mathematics.

引用

页码：329 / 337

页数：8

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