一类非线性离散扰动系统的反周期解

摘要: 研究了一类具有指数型二分性非线性离散扰动系统的反周期解.应用Banach不动点定理，给出了非线性离散扰动系统存在唯一反周期解的充分条件，并通过例子说明了主要结论在实际问题中的应用.
- 扰动系统 /
- 指数型二分性 /
- 反周期解 /
- Banach不动点定理
Abstract: In this paper, anti-periodic solutions for a class of nonlinear discrete perturbed systems with exponential dichotomy are studied. By means of the Banach fixed point theorem, new sufficient conditions for the existence and uniqueness of anti-periodic solutions for nonlinear discrete perturbed systems are established. An example is given to illustrate the results we obtained.
- perturbed systems /
- exponential dichotomy /
- anti-periodic solution /
- Banach fixed point theorem

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