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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

程玲玲 刘文斌 叶晴晴

程玲玲, 刘文斌, 叶晴晴. 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[J]. 华东师范大学学报(自然科学版), 2014, (3): 30-39.
引用本文: 程玲玲, 刘文斌, 叶晴晴. 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[J]. 华东师范大学学报(自然科学版), 2014, (3): 30-39.
CHENG Ling-ling, LIU Wen-bin, YE Qing-qing. Boundary value problem for a coupled system of fractional differential equations with p-Laplacian operator at resonance[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 30-39.
Citation: CHENG Ling-ling, LIU Wen-bin, YE Qing-qing. Boundary value problem for a coupled system of fractional differential equations with p-Laplacian operator at resonance[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 30-39.

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

详细信息
  • 中图分类号: O175

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

  • 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.
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出版历程
  • 收稿日期:  2013-04-01
  • 修回日期:  2013-07-01
  • 刊出日期:  2014-05-25

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