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《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (4): 45-52.doi: 10.6040/j.issn.1671-9352.0.2023.005

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分数阶耦合系统循环周期边值问题解的存在性

张伟(),付欣雨,倪晋波   

  1. 安徽理工大学数学与大数据学院, 安徽 淮南 232001
  • 收稿日期:2023-01-09 出版日期:2024-04-20 发布日期:2024-04-12
  • 作者简介:张伟(1990—), 男, 讲师, 博士, 研究方向为常微分方程定性理论. E-mail: zhangwei_azyw@163.com
  • 基金资助:
    安徽省自然科学基金资助项目(2208085QA05);安徽理工大学研究生创新基金项目(2023cx2146)

Existence results for a coupled system of fractional differential equations with cyclic periodic boundary conditions

Wei ZHANG(),Xinyu FU,Jinbo NI   

  1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui, China
  • Received:2023-01-09 Online:2024-04-20 Published:2024-04-12

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摘要：

研究一类新的分数阶耦合系统共振边值问题, 考虑循环周期边值条件情形。此时不仅方程是耦合的, 边值条件也相互依赖。利用Mawhin连续性定理, 得到解的存在性准则, 并举例说明主要结论。

关键词: 分数阶耦合系统, 共振边值问题, 循环周期边值条件, Mawhin连续性定理

Abstract:

A new class of coupled fractional systems with resonance boundary value problems is studied, considering the case of cyclic periodic boundary conditions. In this case, not only are the equations coupled, but the boundary conditions are also interdependent. By using Mawhin's continuation theorem, the existence criteria for solutions are obtained and the main results are illustrated by an example.

Key words: fractional coupled system, resonance boundary value problem, cyclic periodic boundary condition, Mawhin's continuation theorem

中图分类号: 

  • O175.8
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