分数阶微分方程泛函边值问题解的存在性  

Existence of solutions to function boundary value problem of fractional differential equation

作　　者：李瑞瑞[1] 

机构地区：[1]解放军信息工程大学理学院,郑州450001

出　　处：《黑龙江科技学院学报》2013年第1期102-105,共4页Journal of Heilongjiang Institute of Science and Technology

摘　　要：为讨论分数阶微分方程泛函边值问题解的存在性,利用迭合度理论对其进行研究,得到了一定条件下该边值问题解的存在性。该研究减弱了相应的条件,推广了相关结果。This paper deals with a class of function boundary value problem of fractional differential equation and introduces the conditions of existence of solutions obtained by applying coincidence degree theory due to Mawhin. The study weakens the responding condition and facilitates a wider use of relevant results.

关 键 词：共振 迭合度 分数阶微分方程 泛函边值问题 

分 类 号：O175.8[理学—数学]