分数阶脉冲微分方程边值问题正解的存在性  

Existence of Positive Solutions for Boundary Value Problems of Fractional Impulsive Differential Equation

作　　者：智二涛 刘锡平[1] 李凡凡[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《吉林大学学报（理学版）》2014年第3期482-488,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11171220);上海市教委科研创新重点项目基金(批准号:10ZZ93)

摘　　要：用非线性泛函分析理论研究分数阶脉冲微分方程边值问题,借助范数形式的锥拉伸-压缩不动点定理,证明了一类具有Caputo分数导数的脉冲微分方程边值问题正解的存在性,得到了正解存在的充分条件及相应的推论.The boundary value problem of the fractional impulsive differential equation was studied by means of the nonlinear functional theory.Some existence theorems of positive solutions for the boundary value problem of fractional impulsive differential equation with Caputo derivative were proved with the help of the fixed point theorem of cone expansion and compression of norm type, obtaining the sufficient conditions about the existence of positive solutions and the relevant corollary.

关 键 词：正解 CAPUTO导数 分数阶脉冲微分方程 不动点定理 

分 类 号：O175.8[理学—数学]