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非线性分数阶Dirichlet型边值正解的存在唯一性

Existence-uniqueness of Positive Solutions for Nonlinear Fractional Dirichlet-type Boundary Values
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摘要 研究了一类非线性分数阶Dirichlet型边值问题。使用广义的凸算子的不动点定理与Green函数的性质和在一定的条件下,得到此边值问题正解的存在唯一性,并能构造一迭代序列去逼近此解。正解的存在性结论得到完善和推广。 This work is concerned with a class of the nonlinear fractional Dirichlet-type boundary value problem. By using the fixed point theorems of generalized convex operators and the properties of the Green function,the existence-uniqueness of positive solutions of this boundary value problem is obtained under certain conditions,and an iterative scheme is constructed to approximate this solution. The existence theory of positive solution is completed and generalized.
作者 古传运
机构地区 四川文理学院数学与财经学院
出处 《四川理工学院学报（自然科学版）》 CAS 2014年第3期94-97,共4页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金 四川省教育厅项目(14ZB0309)
关键词 边值问题 广义的凸算子 不动点 正解 存在唯一性 boundary value problem generalized convex operators fixed point positive solution existence and uniqueness
分类号 O175.8 [理学—基础数学]
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参考文献16

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共引文献41

四川理工学院学报（自然科学版）
2014年 第3期

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