一类带p-Laplacian算子的分数阶耦合系统在共振条件下的边值问题  

Boundary value problem for a coupled system of fractional differential equations with p-Laplacian operator at resonance

作　　者：程玲玲[1] 刘文斌[1] 叶晴晴[2] 

机构地区：[1]中国矿业大学理学院,江苏徐州221116 [2]南京理工大学理学院,南京210094

出　　处：《华东师范大学学报（自然科学版）》2014年第3期30-39,共10页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(11271364)

摘　　要：应用葛渭高的Mawhin延拓定理的外延理论,证明了当dim Ker M=2时解的存在性定理,其中M为构造的拟线性算子.并给出了例子,验证这个定理.This paper gave the existence theorem of solutions with dim Ker M = 2 by the extension of Mawhin＇s continuation theorem due to Ge, where M is a quasi-linear operator. And an example to illustrate the theorem was also given.

关 键 词：分数阶微分方程 边值问题 迭合度 P-LAPLACIAN算子 

分 类 号：O175[理学—数学]