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Nieto, J.J. and Rodríguez-López, R. (2005) Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations. Order, 22, 223-239.
http://dx.doi.org/10.1007/s11083-005-9018-5

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• 标题: 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

  作者: 王杰, 周晨星

  关键字: 高阶方程, 不动点定理, 正解, 唯一性Higher Order Equation, Fixed-Point Theorem, Positive Solution, Uniqueness

  期刊名称: 《Advances in Applied Mathematics》, Vol.5 No.3, 2016-08-25

  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。 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.