Journal of Jilin University Science Edition ›› 2018, Vol. 56 ›› Issue (6): 1423-1426.
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MENG Xin
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Abstract: The author considered the antiperiodic solutions for a class of nonlinear discrete systems with exponential dichotomy. Firstly, it was proved that if the homogeneous linear system had exponential dichotomy, then the corresponding nonhomogeneous linear system had an antiperiodic solution. Secondly, by means of this conclusion and the Banach fixed point theorem, a sufficient condition for the existence and uniqueness of antiperiodic solutions for nonlinear discrete systems was given. Finally, an application example was given.
Key words: exponential dichotomy, antiperiodic solution, Banach fixed point theorem
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MENG Xin. Antiperiodic Solutions for Discrete Systems with Exponential Dichotomy#br#[J].Journal of Jilin University Science Edition, 2018, 56(6): 1423-1426.
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