数学季刊 ›› 2018, Vol. 33 ›› Issue (2): 166-171.doi: 10.13371/j.cnki.chin.q.j.m.2018.02.007

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一类无穷时滞积分方程概周期解的存在唯一性

  

  1. 1. Department of Electronics and Information Engineering, Bozhou University2. School of Mathematical Sciences, Anhui University
  • 接受日期:2014-12-04 出版日期:2018-06-30 发布日期:2020-10-09
  • 作者简介:XU Jian-zhong(1979-), male, native of Hefei, Anhui, Master, an associate professor of Bozhou University, engages in the functional di®erential equation theory; ZHANG Yu-chuan(1985-), male, native of Nanyang, Henan, Master, an lecturer of Anhui University, engages in the functional differential equation theory; Zhou Zongfu(1964-), male, native of Anqing, Anhui, Master, an professor of Anhui University, engages in the functional differential equation theory.
  • 基金资助:
    supported by the National Natural Science Foundation of China(11371027); the Projects of Outstanding Young Talents of Universities in Anhui Province(gxyq2018116); the Teaching Groups in Anhui Province(2016jxtd080,2015jxtd048); the NSF of Educational Bureau of Anhui Province(KJ2017A702,KJ2017A704); the NSF of Bozhou University(BZSZKYXM201302,BSKY201539);

Existence and Uniqueness of Almost Periodic Solutions for Some Infinite Delay Integral Equations

  1. 1. Department of Electronics and Information Engineering, Bozhou University2. School of Mathematical Sciences, Anhui University
  • Accepted:2014-12-04 Online:2018-06-30 Published:2020-10-09
  • About author:XU Jian-zhong(1979-), male, native of Hefei, Anhui, Master, an associate professor of Bozhou University, engages in the functional di®erential equation theory; ZHANG Yu-chuan(1985-), male, native of Nanyang, Henan, Master, an lecturer of Anhui University, engages in the functional differential equation theory; Zhou Zongfu(1964-), male, native of Anqing, Anhui, Master, an professor of Anhui University, engages in the functional differential equation theory.
  • Supported by:
    supported by the National Natural Science Foundation of China(11371027); the Projects of Outstanding Young Talents of Universities in Anhui Province(gxyq2018116); the Teaching Groups in Anhui Province(2016jxtd080,2015jxtd048); the NSF of Educational Bureau of Anhui Province(KJ2017A702,KJ2017A704); the NSF of Bozhou University(BZSZKYXM201302,BSKY201539);

摘要: In this paper, the existence and uniqueness of almost periodic solutions for some infinite delay integral equations are discussed. By using Krasnoselskii fixed point theorem,some new results are obtained. 

关键词: Almost periodic solution, Existence;Uniqueness, Delay integral equation, Krasnoselskii fixed point theorem

Abstract: In this paper, the existence and uniqueness of almost periodic solutions for some infinite delay integral equations are discussed. By using Krasnoselskii fixed point theorem,some new results are obtained. 

Key words: Almost periodic solution, Existence;Uniqueness, Delay integral equation, Krasnoselskii fixed point theorem

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