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Solvability of Third-Order Three-Point Boundary Value Problems

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成果类型:
期刊论文
作者:
Liu, Dongyuan;Ouyang, Zigen*
通讯作者:
Ouyang, Zigen
作者机构:
[Ouyang, Zigen; Liu, Dongyuan] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构:
[Ouyang, Zigen] U
Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
语种:
英文
关键词:
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. Published: 2014 First available in Project Euclid: 2 October 2014 zbMATH: 1151.34010 MathSciNet: MR3206821 Digital Object Identifier: 10.1155/2014/793639
期刊:
Abstract and Applied Analysis
ISSN:
1085-3375
年:
2014
卷:
2014
页码:
1-7
基金类别:
NSF of Hunan Province [13JJ3074]; Major Project of Department of Education of Hunan Province [13A088]; Scientific Research Foundation of Hengyang City [J1]; Construct Program in USC
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
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 Interm...

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