[1]简伟刚,陈园园.超线性扰动下的差分方程S渐进ω周期解[J].江西师范大学学报(自然科学版),2021,(04):339-342.[doi:10.16357/j.cnki.issn1000-5862.2021.04.03]
　JIAN Weigang,CHEN Yuanyuan.The S-Asmptotically ω-Periodic Type Solutions for Difference Equations with Superlinear Perturbation[J].Journal of Jiangxi Normal University:Natural Science Edition,2021,(04):339-342.[doi:10.16357/j.cnki.issn1000-5862.2021.04.03]
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超线性扰动下的差分方程S渐进ω周期解()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2021年04期
页码:
339-342
栏目:
数学与应用数学
出版日期:
2021-08-10

文章信息/Info

Title:
The S-Asmptotically ω-Periodic Type Solutions for Difference Equations with Superlinear Perturbation
文章编号:
1000-5862(2021)04-0339-04
作者:
简伟刚1; 2; 陈园园3
1.豫章师范学院数学与计算机学院,江西 南昌 330103; 2.江西师范大学数学与统计学院,江西 南昌 330022; 3.南昌理工学院公共教学部,江西 南昌 330044
Author(s):
JIAN Weigang1; 2; CHEN Yuanyuan3
1.School of Mathematics and Computers,Yuzhang Normal University,Nanchang Jiangxi 330103,China; 2.School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 3.Department of Public Education,Nanchang Institute of Technology,Nanchang Jiangxi 330044,China
关键词:
差分方程;  S渐进ω周期函数;  超线性扰动;  依点收敛
Keywords:
difference equations;  S-asymptotically ω-periodic function;  superlinear perturbation;  dependent point convergence
分类号:
O 175.7
DOI:
10.16357/j.cnki.issn1000-5862.2021.04.03
文献标志码:
A
摘要:
该文给出了S渐进ω周期函数的一个等价定义,并且研究了一类在超线性扰动下的差分方程的S渐进ω周期解的存在性.最后,通过举例来说明定理的3个条件是可以实现的.
Abstract:
Firstly,an equivalent definition of the S-asmptotically ω-periodic type function is provides,and the existence of S-asymptotically periodic solutions for the following difference equation with superlinear perturbations is investigated.At last,an example is given to point out that the three conditions studied in the theorem are achievable.

参考文献/References:

[1] Cooke K,Kapplan J.A periodicity threshold theorem for epidemics and population growth [J].Mathematical Biosciences,1976,31(1/2):87-104.
[2] Dads E A,Ezzinbi K.Almost periodic solution for some neutral nonlinear integral equations [J].Nonlinear Analysis Theory Methods and Applications,1997,28(9):1479-1489.
[3] Dads E A,Cieutst P,Lhachimi L.Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations [J].Mathematical and Computer Modelling,2009,49(3/4):721-739.
[4] Ding Huisheng,Chen Yuanyuan,N'guérékata G M.Existence of positive pseudo almost periodic solutions to a class of neutral integral equations [J].Nonlinear Analysis Theory Methods and Applications,2011,74(18):7356-7364.
[5] Ding Huisheng,Fu Jiudong,N'guérékata G M.Positive almost periodic type solutions to a class of nonlinear difference equations [J].Electronic Journal of Qualitative Theory of Differential Equations,2011,25(25):1-17.
[6] Zhang Chuanyi.Almost periodic type functions and ergodicity [M].Dordrecht,Boston,London:Kluwer Academic Publishers,2003.
[7] 简伟刚,陈园园.一类非线性差分方程的伪概周期解 [J].江西师范大学学报:自然科学版,2017,41(6):617-622.
[8] Ding Huisheng,Xiao Tijun,Liang Jin.Existence of positive almost automorphic solutions to nonlinear delay integral equations [J].Nonlinear Analysis Theory Methods and Applications,2009,70(6):2216-2231.
[9] Henriquez H R,Pierri M,Taboas P.On S-asymptotically ω-periodic functions on Banach spaces and applications [J].Journal of Mathematical Analysis and Applications,2008,343(2):1119-1130.
[10] Zhao Jingyun,Ding Huisheng,N'GUéRéKATA G M.S-asymptotically periodic solutions for an epidemic model with superlinear perturbation [J].Advances in Difference Equations,2016,2016(1):221.

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备注/Memo

备注/Memo:
收稿日期:2018-12-27
基金项目:国家自然科学基金(11861037)和江西省教育厅科技课题(GJJ151326)资助项目.
作者简介:简伟刚(1985—),男,江西南昌人,讲师,博士研究生,主要从事应用泛函分析研究.E-mail:1017177631@qq.com
更新日期/Last Update: 2021-08-10