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带p(t)-Laplacian算子的分数阶微分方程共振无穷多点边值问题解的存在性 被引量：3

Existence of solutions for p(t)-Laplacian fractional infinite-point boundary value problems at resonance
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摘要 讨论了一类带p(t)-Laplacian算子的分数阶微分方程共振无穷多点边值问题,通过对非线性项的合理控制,利用Mawhin连续定理得到了解的存在性。 By using Mawhin＇s continuation theorem,through the reasonable control of the nonlinear term,an existence result for the solutions of fractional infinite-point boundary value problems at resounce with p（t）-Laplacian operator is presented.
作者 张迪 刘文斌 ZHANG Di;LIU Wen-bin(School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China)
机构地区 中国矿业大学数学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2017年第12期72-80,共9页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(11271364)
关键词 分数阶微分方程 边值问题 p(t)-Laplacian算子 Mawhin连续定理 无穷多点 fractional differential equation boundary value problem p （t） -Laplacian operator Mawhin,s continuation theorem infinite-point
分类号 O175.8 [理学—基础数学]
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山东大学学报（理学版）
2017年 第12期

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