一类具p-laplacian算子的含积分边界条件的分数阶微分方程边值问题解的存在性  

Existence of Solutions for a Class of Fractional Differential Equations with p-Laplacian Operators and Integral Boundary Conditions

作　　者：王和香[1] 胡卫敏[1] 

机构地区：[1]伊犁师范学院数学与统计学院,新疆伊宁835000

出　　处：《数学的实践与认识》2016年第16期228-236,共9页Mathematics in Practice and Theory

基　　金：新疆维吾尔自治区高校科研计划重点项目(XJEDU2014I040);新疆维吾尔自治区自然科学基金项目(201318101-14)

摘　　要：利用Green函数的性质、u_0-边界函数、不动点指数定理及锥压缩与锥拉升不动点定理,研究一类具p-laplacian算子的含积分边界条件的微分方程边值问题解的存在性.By using the properties of the Green function, bounded function, the fixed point index theory and the fixed point theorem of cone expansion and compression, the thesis will study the existence of the solutions to the fractional differential equations, which is a class of p-Laplacian operators and integral boundary conditions.

关 键 词：分数阶边值问题 积分边界条件 uo-边界函数 不动点指数定理 锥压缩 与锥拉升不动点定理 

分 类 号：O175.8[理学—数学]