广义凹算子定理在分数阶脉冲边值问题中的研究  

On the theorem for a generalized concave operator in differential equations involving a fractional order and impulsive boundary conditions

作　　者：郑凤霞 肖维忠 谢茂森 ZHENG Feng-xia;XIAO Wei-zhong;XIE Mao-sen(Department of Mathematics, Sichuan University of Arts and Science, Dazhou 635000, China)

机构地区：[1]四川文理学院数学学院,四川达州635000

出　　处：《云南民族大学学报（自然科学版）》2019年第3期263-267,共5页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：四川省教育厅科研项目(17ZB0370;18ZB0512)

摘　　要：运用广义凹算子的不动点定理,研究了一类分数阶脉冲边值问题,得到了存在唯一解的新判据.最后,给出一个例子说明结论的可行性.By using a fixed point theorem for a generalized concave operator, a new criterion for the existence and uniqueness of solutions involving a fractional order and impulsive boundary conditions is established. Finally, an example is given to illustrate the main results.

关 键 词：分数阶 脉冲边值问题 存在唯一性 不动点定理 

分 类 号：O175.12[理学—数学]