具有指数型二分性时标动力学方程的反周期解

Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (1): 24-28.

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Antiperiodic Solutions for Time Scale DynamicEquations with Exponential Dichotomy

MENG Xin^1, LV Xin^2

1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. Siping Special Equipment Inspection Center, Siping 136000, Jilin Province, China

Received:2019-05-06 Online:2020-01-26 Published:2020-01-12
Contact: MENG Xin E-mail:mqym@sina.cn

Abstract

Abstract: We considered the antiperiodic solutions for a class of time scale dynamic equations with exponential dichotomy. By applying the Banach fixed point theorem, we gave sufficient conditions for the existence of antiperiodic solutions for nonhomogeneous linear time scale dynamic equations and semilinear time scale dynamic equations, and gave some examples to illustrate the application of the main results in practical problems.

Key words: exponential dichotomy, antiperiodic solution, Banach fixed point theorem, time scale

CLC Number:

O175.12

MENG Xin, LV Xin. Antiperiodic Solutions for Time Scale DynamicEquations with Exponential Dichotomy[J].Journal of Jilin University Science Edition, 2020, 58(1): 24-28.

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Antiperiodic Solutions for Time Scale DynamicEquations with Exponential Dichotomy

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