一类具有p-Laplace算子的非线性分数阶微分方程解的存在性与多解性  

Existence and Multiplicity of Solutions for a Class of Nonlinear Fractional Differential Equations with p-Laplacian Operator

作　　者：李继梅 李辉来[1] LI Jimei;LI Huilai(College of Mathematics,Jilin University,Changchun 130012,China)

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2018年第6期1285-1290,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11271154)

摘　　要：利用Green函数的性质和锥上不动点定理研究一类具有p-Laplace算子的非线性分数阶微分方程边值问题解的存在性和多解性.We studied the existence and multiplicity of solutions for a class of boundary value problems of nonlinear fractional differential equations with p-Laplacian operator by using the properties of Green’s functionand fixed-point theorems on cone.

关 键 词：分数阶边值问题 GREEN函数 不动点定理 P-LAPLACE算子 

分 类 号：O175.8[理学—数学]