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共振条件下分数阶微分方程多点边值问题解的存在性

张宁 史小艺 张娣

Journal of Changshu Institute of TechnologyIssue(8):1-7,7.
Journal of Changshu Institute of TechnologyIssue(8):1-7,7.

共振条件下分数阶微分方程多点边值问题解的存在性

Existence of Solutions for Fractional Multi-point Boundary Value Problems at Resonance

张宁 1史小艺 1张娣2

作者信息

  • 1. 中国矿业大学理学院,江苏 徐州 221116
  • 2. 中国矿业大学管理学院,江苏 徐州 221116
  • 折叠

摘要

Abstract

  Fractional order derivative is a derivative of the promotion of integer. This paper discusses the exis⁃tence of solutions for fractional multi-point boundary value problems at resonance by using Mawhin’s continu⁃ous theorem and coincidence degree theory and the sufficient conditions for the boundary value problems is ob⁃tained, generalizing known results.

关键词

分数阶/微分方程/多点边值问题/迭合度

Key words

fractional/differential equation/multi-point boundary value

分类

数理科学

引用本文复制引用

张宁,史小艺,张娣..共振条件下分数阶微分方程多点边值问题解的存在性[J].Journal of Changshu Institute of Technology,2012,(8):1-7,7.

基金项目

国家自然科学基金项目“微分方程边值问题”(10771212) (10771212)

Journal of Changshu Institute of Technology

1008-2794

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