中立型非线性泛函差分方程三个正周期解的存在性

doi:10.13371/j.cnki.chin.q.j.m.2015.02.003

数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 172-183.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.003

中立型非线性泛函差分方程三个正周期解的存在性

Department of Mathematics, Shaoyang University

收稿日期:2013-04-21 出版日期:2015-06-30 发布日期:2020-11-23
作者简介:LIU Xing-yuan(1963-), male, native of Shaoyang, Hunan, a professor of Shaoyang University, engages in function differential equations.
基金资助:
Supported by the Natural Science Foundation of Hunan Province(12JJ6006)； Supported by the Science Foundation of Department of Science and Technology of Hunan Province(2012FJ3107)；

Existence of Three Positive Periodic Solutions of Neutral Nonlinear Functional Difference Equations

Department of Mathematics, Shaoyang University

Received:2013-04-21 Online:2015-06-30 Published:2020-11-23
About author:LIU Xing-yuan(1963-), male, native of Shaoyang, Hunan, a professor of Shaoyang University, engages in function differential equations.
Supported by:
Supported by the Natural Science Foundation of Hunan Province(12JJ6006)； Supported by the Science Foundation of Department of Science and Technology of Hunan Province(2012FJ3107)；

摘要/Abstract

摘要： This paper is concerned with the nonlinear neutral functional difference equations△x（n） =-a（n）x（n） +h（n）f（n,x（n-T（n））,△x（n-δ（n）））,where a,h and f are nonnegative sequences.Sufficient conditions for the existence of at least three positive T-periodic solutions are established by using a fixed point theorem due to Avery and Peterson.

关键词: positive periodic solution, functional difference equation, fixed-point theorem

Abstract: This paper is concerned with the nonlinear neutral functional difference equations△x（n） =-a（n）x（n） +h（n）f（n,x（n-T（n））,△x（n-δ（n）））,where a,h and f are nonnegative sequences.Sufficient conditions for the existence of at least three positive T-periodic solutions are established by using a fixed point theorem due to Avery and Peterson.

Key words: positive periodic solution, functional difference equation, fixed-point theorem

中图分类号:

O175.7

刘兴元. 中立型非线性泛函差分方程三个正周期解的存在性[J]. 数学季刊, 2015, 30(2): 172-183.

LIU Xing-yuan. Existence of Three Positive Periodic Solutions of Neutral Nonlinear Functional Difference Equations[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(2): 172-183.

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中立型非线性泛函差分方程三个正周期解的存在性

Existence of Three Positive Periodic Solutions of Neutral Nonlinear Functional Difference Equations

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