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脉冲中立泛函微分方程概周期解的存在性(英文)

Almost Periodic Solutions for Impulsive Neutral Functional Differential Systems
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摘要 本文讨论一类脉冲中立型泛函微分方程的概周期解问题.利用Banach压缩映射原理和算子半群理论得到其概周期解的存在唯一性定理. In this paper, by means of Banach contraction mapping principle and semigroup theory, some sufficient conditions for the existence and uniqueness of almost periodic solutions for impulsive neutral differential system are obtained.
作者 王奇 陆地成
机构地区 安徽大学数学科学学院
出处 《应用数学》 CSCD 北大核心 2015年第1期41-46,共6页 Mathematica Applicata
基金 Supported by the Key Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028) the Anhui Provincial NSF(1408085MA02,1208085MA13,1308085MA01,1308085QA15) the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401110001) the 211 Project of Anhui University(02303129,02303303-33030011,0230390239020011,KYXL2012004,XJYJXKC04) the NNSF of China(11271371,11301004)
关键词 脉冲中立泛函微分方程 压缩映射原理 概周期解 存在唯一性 Impulsive neutral differential system Contraction mapping principle Al-most periodic solution Existence and uniqueness
分类号 O175.7 [理学—基础数学]
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参考文献8

  • 1Samoilenko A M,Perestyuk N A.Differential Equations with Impulse Effect[M].Singapore:World Scientific ,1995.
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  • 6Toka Diagana.Pseudo Almost Periodic Functions in Banach Spaces[M].New York:Nova Publishers,2007.
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  • 8Mohammad N Islam,Youssef N Raffoul.Periodic solutions of neutral nonlinear system of differential e-quations with functional delay[J].J.Math.Anal.Appl.,2007,331:1175-1186.
应用数学
2015年 第1期

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