| 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） |
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| 引用本文： | 刘宗宝,刘文斌,张 伟.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）[J].应用数学,2020,33(1):12-24. |
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| 作者姓名： | 刘宗宝 刘文斌 张 伟 |
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| 作者单位： | 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 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11271364) |
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| 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.
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| 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 |
Solvability for Fractional p-Laplacian Differential Equation with Integral Boundary Conditions at Resonance on Infinite Interval |
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| LIU Zongbao,LIU Wenbin,ZHANG Wei.Solvability for Fractional p-Laplacian Differential Equation with Integral Boundary Conditions at Resonance on Infinite Interval[J].Mathematica Applicata,2020,33(1):12-24. |
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| Authors: | LIU Zongbao LIU Wenbin ZHANG Wei |
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| Institution: | (Department of Fundamental Course,Wuxi Institute of Technology,Wuxi 214121,China;School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China) |
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| Abstract: | 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. |
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| Keywords: | Fractional boundary value problem p-Laplacian operator Resonance Infinite interval Mawhin’s continuation theorem |
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