高阶非线性分数次边值问题正解的唯一性
The Uniqueness of Positive Solutions for Higher Order Boundary Value Problem
DOI: 10.12677/AAM.2016.53052, PDF,    国家自然科学基金支持
作者: 王杰, 周晨星：长春师范大学数学学院，吉林 长春
关键词: 高阶方程；不动点定理；正解；唯一性；Higher Order Equation； Fixed-Point Theorem； Positive Solution； Uniqueness
摘要: 本文利用偏序集上的不动点定理结合相关格林函数的性质研究了一类高阶非线性分数次多点边值问题正解的唯一性，我们的结果弥补了已有文献中的相关结论。
Abstract: In this paper, using the fixed-point theorem in partially ordered sets and the properties of the Green function, the uniqueness of positive solutions to the higher order boundary value problem is obtained. Our results make up the related conclusion in the existing literature.
文章引用：王杰, 周晨星. 高阶非线性分数次边值问题正解的唯一性[J]. 应用数学进展, 2016, 5(3): 416-420. http://dx.doi.org/10.12677/AAM.2016.53052

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