一类带有p-Laplacian算子分数阶方程共振边值问题的可解性  

A Boundary Value Problem for Fractional Differential Equation with p-Laplacian Operator at Resonance

作　　者：申腾飞[1] 刘文斌[1] 程玲玲[1] 胡志刚[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《河南大学学报（自然科学版）》2013年第6期614-619,共6页Journal of Henan University:Natural Science

基　　金：中央高校基本科研业务费中国矿业大学理科专项基金(2010LKSX09)

摘　　要：利用迭合度理论和推广的Mawhin连续定理,构造合适的投影算子,讨论了一类非线性的且带有p-Laplacian算子分数阶微分方程边值问题共振时的可解性,得到了解存在的充分条件,推广了已有结果.This paper discussed the existence of solution of boundary value for fractional differential equation with p-Laplacain operator at resonance. By using coincidence degree theory and the extension of Mawhin＇s continuation theorem and constructing suitable continuous projectors, some results of existence of solutions for boundary value problems were obtained, which enrich and support previous results.

关 键 词：分数阶微分方程 边值问题 迭合度 共振 

分 类 号：O175.8[理学—数学]