Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces
Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces
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DOI：
10.1016/j.cnsns.2009.10.011
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发表时间：
2011
影响因子：
3.9
通讯作者：
Junfang Zhao;Peiguang Wang;W. Ge
中科院分区：
文献类型：
--
作者：
Junfang Zhao;Peiguang Wang;W. Ge
利用锥上的不动点原理和严格集压缩算子的不动点指数理论，研究了序Banach空间中一类带积分边界条件的三阶非线性微分方程边值问题正解的存在性、不存在性和多解性.最后给出了一个例子来说明主要结果。
This paper investigates the existence, nonexistence, and multiplicity of positive solutions for a class of nonlinear boundary-value problems of third order differential equations with integral boundary conditions in ordered Banach spaces by means of fixed-point principle in cone and the fixed-point index theory for strict set contraction operator. In addition, an example is worked out to demonstrate the main results.