具有可求和二分性非线性离散系统的反周期解  

Anti-periodic Solutions for Discrete Systems with Summable Dichotomy

作　　者：孟鑫[1] Meng Xin(College of Mathematics and Computer,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林四平136000

出　　处：《南开大学学报（自然科学版）》2023年第1期71-75,共5页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：国家自然科学基金(10971084)。

摘　　要：研究了一类具有可求和二分性非线性离散系统的反周期解.应用Leary-Schauder度理论,给出了非线性离散系统存在反周期解的充分条件.最后通过例子说明了主要结论在实际问题中应用.The anti-periodic solutions for nonlinear discrete systems with summable dichotomy is studied.By using the Leary-Schauder degree theory, some sufficient conditions for the existence of anti-periodic solutions for nonlinear discrete systems are established. Finally, some examples are given to illustrate the results.

关 键 词：离散系统 可求和二分性 反周期解 Leary-Schauder度 

分 类 号：O175.12[理学—数学]