Existence of Positive Solutions for a Third-Order Multi-Point Boundary Value Problem

• 作者: A. Guezane-Lakoud L. Zenkoufi
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Guo’s Fixed POINT Theorem Three POINT Boundary Value Problem Positive Solution LERAY SCHAUDER NON-LINEAR Alternative CONTRACTION Principle
• 年，卷（期）: yysxyw_2012,（9）
• 页码范围: 1008-1013
• 页数: 6页
• 分类号: O1

摘要

By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel’skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous boundary value problem (BVP1): where for The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative .