基于拟一致渐近稳定性的离散模型的概周期解

doi:10.3969/j.issn.1006-8074.2022.03.003

数学理论与应用 ›› 2022, Vol. 42 ›› Issue (3): 33-.doi: 10.3969/j.issn.1006-8074.2022.03.003

基于拟一致渐近稳定性的离散模型的概周期解

方娌妮， N'gbo N'gbo，夏永辉 ^*

浙江师范大学数学与计算机科学学院, 金华, 321004

出版日期:2022-09-30 发布日期:2022-09-28
基金资助:
国家自然科学基金项目(No. 11671176)资助

Almost Periodic Solutions of a Discrete Model via Quasi-uniform Asymptotic Stability

Fang Lini ， N'gbo N'gbo， Xia Yonghui^*

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Online:2022-09-30 Published:2022-09-28
Contact: Xia Yonghui, xiadoc@163.com; yhxia@zjnu.cn

摘要/Abstract

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.

关键词: 离散系统, 概周期解, 渐近稳定

Abstract: This paper concerns the existence and uniqueness of almost periodic solutions to a discrete system. Because in general, the conditions to guarantee the quasi-uniform asymptotic stability is relatively weaker, we employ the quasi-uniform 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.

Key words: Discrete system, Almost periodic solution, Asymptotical stability

方娌妮, N'gbo N'gbo, 夏永辉 . 基于拟一致渐近稳定性的离散模型的概周期解[J]. 数学理论与应用, 2022, 42(3): 33-.

Fang Lini , N'gbo N'gbo, Xia Yonghui . Almost Periodic Solutions of a Discrete Model via Quasi-uniform Asymptotic Stability[J]. Mathematical Theory and Applications, 2022, 42(3): 33-.

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 Quasi-uniform Asymptotic Stability

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