基于拟一致渐近稳定性的离散模型的概周期解  

Almost Periodic Solutions of a Discrete Model via Quasiuniform Asymptotic Stability

作　　者：方娌妮 N’gbo N’gbo 夏永辉 Fang Lini;N’gbo N’gbo;Xia Yonghui(Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]浙江师范大学数学与计算机科学学院,金华321004

出　　处：《数学理论与应用》2022年第3期33-45,共13页Mathematical Theory and Applications

基　　金：supported by the National Natural Science Foundation of China(No.11671176)。

摘　　要：本文研究离散模型的概周期解的存在唯一性.因为在通常情况下,拟一致渐近稳定所需条件相对比较弱,所以我们利用拟一致渐近稳定性来得到离散模型正概周期解存在的充分条件.数值例子验证了我们结果的有效性.This paper concerns the existence and uniqueness of almost periodic solutions to a discrete system.Because in general,the conditions to guarantee the quasiuniform asymptotic stability is relatively weaker,we employ the quasiuniform asymptotic stability to derive the sufficient conditions for the existence of positive almost periodic solutions to the concerned system.The effectiveness of our results are verified by a numerical example.

关 键 词：离散系统 概周期解 渐近稳定 

分 类 号：O175[理学—数学]