一类含有时滞的分数阶Laplacian方程共振边值问题解的存在性  

The Existence of Solutions to Boundary Value Problem at Resonance of a Kind of Fractional Differential Laplacian Equation with Delay

作　　者：郑春华[1] 马睿 Zheng Chunhua;Ma Rui(Department of Basic Courses,Shaanxi Polytechnic Institute,Xianyang Shaan.xi 712000,China)

机构地区：[1]陕西工业职业技术学院基础部,陕西咸阳712000

出　　处：《陕西工业职业技术学院学报》2018年第4期1-6,共6页Journal of Shaanxi Polytechnic Institute

基　　金：国家自然课程基金“保守振动方程周期解的研究”(项目编号:No.11271364);陕西工业职业技术学学院自选科研项目“高阶分数阶泛函数分方程边值问题的研究”(项目编号:No.zk1734).

摘　　要：研究了一类具有时滞的分数阶Laplacian方程两点共振边值问题,利用Mawhin连续性定理获得了该边值问题解存在的充分条件,得到了一些新的结果,推广了一些已有的工作。The existence of solutions to two -point boundary value problem at resonance of a kind of fractional differential Laplacian equation with delay is studied in the paper.Sufficient conditions for the existence of solutions have been obtained by using Mawhin's continuity theorem and so have some new results.Also,the outcomes of the study will help to spread the research findings which have been obtained.

关 键 词：分数阶微分方程 时滞 P-LAPLACE算子 共振 两点边值问题 连续性定理 

分 类 号：O175.8[理学—数学]