一类非线性分数阶m点边值问题可数多正解的存在性  

Existence of Countably Many Positive Solutions for Some Nonlinear Fractional Order M-point Boundary Value Problem

作　　者：朱思念[1] 王刚[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《四川理工学院学报（自然科学版）》2011年第3期267-270,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：目前关于分数阶微分方程多点边值问题的研究还不多见,受相关文献启发,文章讨论一类分数阶多点边值问题正解的存在性,运用锥上的不动点指数结合相应的格林函数,得出了可数多正解的存在性,推广了一些整数阶的相关结果。Not so many papers discuss multi-point fractional order boundary value problems.Inspired by related works,in this paper,we consider the existence of positive solutions for some nonlinear fractional order m-point boundary value problem.By using the fixed-point index theory in a cone combined with associated Green function,we show that there exists countably many positive solutions,so it can be seen as a promotion of integer-order boundary value problem.

关 键 词：分数阶 不动点指数 正解 

分 类 号：O175.8[理学—数学]