二阶脉冲时滞积分微分方程反周期边值问题（英文）  

Anti-periodic boundaryvalue problem for second-order impulsive integro-differential equation with delay

作　　者：张林丽 刘安平[3] 肖莉[3] ZHANG Linli;LIU Anping;XIAO Li(Institute of Tropical Agriculture and Forestry, Hainan University, Danzhou,Hainan 571737, China;Education Department of Natural Science, Haikou University of Economics, Haikou 571127, China;School of Mathematics and Physics, China University of Geosciences,Wuhan 430074, China)

机构地区：[1]海南大学热带农林学院,海南儋州571737 [2]海口经济学院自然科学教学部,海口571127 [3]中国地质大学(武汉)数学与物理学院,武汉430074

出　　处：《华中师范大学学报（自然科学版）》2018年第3期298-302,共5页Journal of Central China Normal University：Natural Sciences

基　　金：海南省自然科学基金项目(117174;118MS084);国家自然科学基金项目(11571326)

摘　　要：利用迭代分析方法证明了一类二阶脉冲时滞积分微分方程反周期边值问题解的存在性和唯一性,得到了平凡解一致稳定的充分条件.结果充分显示了脉冲和时滞条件对方程解的性质的影响,推广了已有积分微分方程反周期边值问题解的结论.The properties of solution of anti-periodic boundary value problem for second-order impulsive integro-differential equation with delay are discussed.Using the iterative analysis method,the existence and uniqueness of anti-periodic solution and the sufficient condition for uniform stability of trivial solution are obtained.The results show the influence of impulse and delay on the properties of the solution and extend the previous results on integro-differential equation in anti-periodic boundary value problem.

关 键 词：反周期边值问题 迭代分析方法 存在性 稳定性 

分 类 号：O175.8[理学—数学]