Solvability of Third-Order Three-Point Boundary Value Problems

被引：3
作者：
Liu, Dongyuan [1 ]
Ouyang, Zigen [1 ]
机构：
[1] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.1155/2014/793639
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are interested in the existence theorems for a third-order three-point boundary value problem. In the nonresonant case, using the Krasnosel'skii fixed point theorem, we obtain some sufficient conditions for the existence of the positive solutions. In addition, we focus on the resonant case, the boundary value problem being transformed into an integral equation with an undetermined parameter, and the existence conditions being obtained by the Intermediate Value Theorem.
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页数：7
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