带p(t)-Laplacian算子的分数阶微分方程共振无穷多点边值问题解的存在性  

Existence of solutions for p(t)-Laplacian fractional infinite-point boundary value problems at resonance

作　　者：张迪 刘文斌 ZHANG Di;LIU Wen-bin(School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China)

机构地区：[1]中国矿业大学数学学院,江苏徐州221116

出　　处：《山东大学学报（理学版）》2017年第12期72-80,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11271364)

摘　　要：讨论了一类带p(t)-Laplacian算子的分数阶微分方程共振无穷多点边值问题,通过对非线性项的合理控制,利用Mawhin连续定理得到了解的存在性。By using Mawhin＇s continuation theorem,through the reasonable control of the nonlinear term,an existence result for the solutions of fractional infinite-point boundary value problems at resounce with p（t）-Laplacian operator is presented.

关 键 词：分数阶微分方程 边值问题 p(t)-Laplacian算子 Mawhin连续定理 无穷多点 

分 类 号：O175.8[理学—数学]