无穷区间上分数阶带p-Laplacian算子微分方程积分共振边值问题解的存在性（英文）  

Solvability for Fractional p-Laplacian Differential Equation with Integral Boundary Conditions at Resonance on Infinite Interval

作　　者：刘宗宝[1] 刘文斌 张伟 LIU Zongbao;LIU Wenbin;ZHANG Wei(Department of Fundamental Course,Wuxi Institute of Technology,Wuxi 214121,China;School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China)

机构地区：[1]无锡职业技术学院基础部,江苏无锡214121 [2]中国矿业大学数学学院,江苏徐州221116

出　　处：《应用数学》2020年第1期12-24,共13页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11271364)

摘　　要：利用Mawhin连续性定理,讨论一类分数阶p-Laplacian微分方程积分共振边值问题在无穷区间上解的存在性,并举例说明主要结果.In this paper,we investigate the existence of solutions for a class of fractional integral boundary value problems with p-Laplacian operator at resonance on infinite interval,by using Mawhin’s continuation theorem.An example is given to show the application of our main result.

关 键 词：分数阶边值问题 P-LAPLACIAN算子 共振 无穷区间 Mawhin连续性定理 

分 类 号：O175.8[理学—数学]