Existence of Solution and Positive Solution for a Nonlinear Third-Order m-Point BVP

被引：1
|
作者：
Sun, Jian-Ping [1 ]
Jin, Fan-Xia [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
基金：
中国国家自然科学基金;
关键词：
BOUNDARY-VALUE PROBLEM; RESONANCE;
D O I：
10.1155/2010/126192
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the following nonlinear third-order m-point boundary value problem: u'''(t) + f(t, u(t), u ''(t)) = 0, t is an element of [0, 1], u(0) = Lambda, u'(1) - Sigma(m-2)(i=1) a(i)u'(xi(i)) = B, u ''(0) = C. Some existence criteria of solution and positive solution are established by using the Schauder fixed point theorem. An example is also included to illustrate the importance of the results obtained.
引用
收藏
页数：8
相关论文
共 50 条
12345