摘要
对于一类高阶分数阶微分方程组多点边值问题,借助于Leggett-Williams不动点定理和Leray-Schauder不动点定理研究了该问题至少有三个正解及任意奇数个正解的存在性,所得结果推广了已有文献的存在性结果,并举例验证主要结果.
For a class of multi-point boundary value problems of fractional differential equations,we study the existence of at least three positive solutions and any odd positive solutions by means of the Leggett-Williams fixed point theorem and Leray-Schauder fixed point theorem.The results extend some related results in the literature,and provide examples to verify the main results.
作者
何希萍
HE Xi-ping(Scientific Research Office of Gansu Open University,Lanzhou 730030,China)
出处
《数学的实践与认识》
2023年第11期217-222,共6页
Mathematics in Practice and Theory
基金
甘肃开放大学科研项目(2022-ZD-01)。
关键词
分数阶微分方程组
多点边值问题
锥
多解性
fractional differential equations
multi-point boundary value problem
cone
multiple solution
