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山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (12): 72-80.doi: 10.6040/j.issn.1671-9352.0.2017.312

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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

张迪,刘文斌*   

  1. 中国矿业大学数学学院, 江苏 徐州 221116
  • 收稿日期:2017-06-20 出版日期:2017-12-20 发布日期:2017-12-22
  • 通讯作者: 刘文斌(1960— ),男,教授,研究方向为常微分方程和非线性泛函分析的理论及应用研究. E-mail:wblium@163.com E-mail:18361273335@163.com
  • 作者简介:张迪(1992— ),女,硕士研究生,研究方向为微分方程边值问题研究. E-mail:18361273335@163.com
  • 基金资助:
    国家自然科学基金资助项目(11271364)

Existence of solutions for p(t)-Laplacian fractional infinite-point boundary value problems at resonance

ZHANG Di, LIU Wen-bin*   

  1. School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
  • Received:2017-06-20 Online:2017-12-20 Published:2017-12-22

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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。

关键词: 边值问题, p(t)-Laplacian算子, 无穷多点, 分数阶微分方程, Mawhin连续定理

Abstract: 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.

Key words: boundary value problem, infinite-point, p(t)-Laplacian operator, fractional differential equation, Mawhins continuation theorem

中图分类号: 

  • O175.8
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