一类高阶分数阶非线性微分方程组多点边值问题正解的存在性  

Existence of Positive Solutions to Multi-point Boundary Value Problem for Nonlinear High-order Fractional Differential Equations

作　　者：何希萍 HE Xi-ping(Teaching Department,Gansu Open University,Lanzhou 730030,China)

机构地区：[1]甘肃开放大学教学部,甘肃兰州730030

出　　处：《兰州文理学院学报（自然科学版）》2024年第4期1-5,12,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：甘肃开放大学重点科研项目(2022-ZD-01)。

摘　　要：运用不动点指数理论,讨论了一类高阶分数阶非线性微分方程组多点边值问题,研究了该问题正解的存在性、多重性以及不存在准则,给出了保证正解存在的一些极限型条件,条件适用于更一般的非线性项.A multi-point boundary value problem of nonlinear high-order fractional differential equations is studied,applying fixed-point index theory,the existence,multiplicity and non-existence criteria of positive solutions to this problem are studied,and some limit type conditions guaranteeing the existence of positive solutions are given,which can be applied to more general nonlinearities.

关 键 词：分数阶微分方程组 多点边值问题 正解 存在性 锥 不动点指数 

分 类 号：O175.7[理学—数学]