分数阶高阶方程多点共振边值问题解的存在性  

Solvability for multi-point boundary value problem of fractional higher-order equation at resonance

作　　者：赵忍 刘文斌 张伟 ZHAO Ren;LIU Wenbin;ZHANG Wei(School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China)

机构地区：[1]中国矿业大学数学学院,江苏徐州221116

出　　处：《合肥工业大学学报（自然科学版）》2018年第9期1289-1296,共8页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11271364)

摘　　要：文章研究了一类分数阶高阶微分方程多点共振边值问题,运用了Mawhin连续定理,得到了其边值问题解的存在性。为了进一步说明文中的主要结果,给出了一个例子。The multi-point boundary value problem for a class of fractional higher-order differential equations at resonance is studied.The existence result of solutions is explored by using Mawhin’s continuation theorem.Furthermore,one example is given to verify the result.

关 键 词：分数阶 高阶微分方程 多点边值问题 共振 Mawhin连续定理 

分 类 号：O175.8[理学—数学]