一类推广的φ-(h,e)-凹算子不动点性质及其应用  

The properties of a class of generalized fixed points ofφ-h,e-concave operators and their applications

作　　者：陈娟 桑彦彬[1] CHEN Juan;SANG Yanbin(School of Science, North University of China, Taiyuan 030051, China)

机构地区：[1]中北大学理学院,太原030051

出　　处：《华中师范大学学报（自然科学版）》2020年第2期181-186,共6页Journal of Central China Normal University：Natural Sciences

基　　金：山西省自然科学基金项目(201601D011003).

摘　　要：该文主要定义了一类非锥映射的φ-h,e-凹算子,然后应用单调迭代方法,建立了该算子不动点的存在唯一性定理.作为应用,得到了一类具有两点边界条件的分数阶微分方程非平凡解的存在性和唯一性,进而构造了逼近唯一解的迭代序列.In the article,a kind of concave operator with non-cone mapping is defined,then we apply the monotone iterative method to establish the existence and uniqueness theorem of the fixed point of above operator.As an application,the existence and uniqueness of nontrivial solutions for a class of fractional differential equations with two-point boundary conditions is obtained,and then an iterative sequence of approximating unique solutions is constructed.

关 键 词：凹算子 分数阶微分方程 单调迭代 解的存在性 解的唯一性 

分 类 号：O175[理学—数学]