分数阶微分方程组非振动解的存在性  

Existence for Nonoscillatory Solutions of System of Fractional Differential Equations

作　　者：刘有军 赵环环 康淑瑰 LIU YOUJUN;ZHAO HUANHUAN;KANG SHUGUI(School of Mathematics and Statistics,Shanxi Datong University,Datong 037009,China))

机构地区：[1]山西大同大学数学与统计学院

出　　处：《应用数学学报》2019年第5期606-613,共8页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(No.11871314,No.61803241);山西省自然科学基金(201801D121001);山西省131领军人才项目;大同市应用基础研究项目(2017125,2018146);山西大同大学科学研究项目(2017K4)

摘　　要：本文我们考虑一类分数阶带分布时滞微分方程组,利用Banach压缩映像原理获得了其一个新的非振动解的存在的充分条件.In this paper the system of fractional functional differential equations with distributed Delays were investigated.The Banach contraction principle was used to obtain new sufficient condition for the existence of nonoscillatory solutions.

关 键 词：方程组 分数阶 Liouville导数 分布时滞 非振动解 

分 类 号：O175.14[理学—数学]