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.

Previous Articles Next Articles

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.

[1]	ZHENG Mingliang. Noether Symmetries and Conserved Quantities of Constrained Hamiltonian Systems on Time Scales [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1267-1271.
[2]	SHI Yufe, ZHANG Yi. Noether’s Symmetry Theorems of Hamilton System on Time Scales in Event Space [J]. Journal of Jilin University Science Edition, 2021, 59(3): 482-488.
[3]	CHEN Zhiwei, ZHU Jianqing. Lie Symmetry and Conserved Quantity for Singular Nonconservative Lagrangian System on Time Scales [J]. Journal of Jilin University Science Edition, 2020, 58(1): 158-161.
[4]	MENG Xin. Antiperiodic Solutions for Discrete Systems with Exponential Dichotomy#br# [J]. Journal of Jilin University Science Edition, 2018, 56(6): 1423-1426.
[5]	YANG Jiashan, QIN Guijiang. Oscillation of SecondOrder EmdenFowler-Dynamic Equations on Time Scales [J]. Journal of Jilin University Science Edition, 2018, 56(1): 15-22.
[6]	LI Xuemei, DAI Qun, LI Huilai. Existence and Uniqueness for a Coupled System of NonlinearFractional Differential Equations with Initial Value Conditions [J]. Journal of Jilin University Science Edition, 2015, 53(03): 363-366.
[7]	ZHANG Yu, SUO Zhonglin, REN Biao. Massera Type Criteria for Linear Differential Systems on Time Scales [J]. Journal of Jilin University Science Edition, 2013, 51(05): 843-844.
[8]	LIU Bai-Feng, HAN Yu-Liang, SUN Chi-Dong. SquareMean Almost Periodic Solutions for a Classof Stochastic IntegroDifferential Equations [J]. J4, 2013, 51(03): 393-397.
[9]	FENG Youling, ZHANG Min. A Class-of Regressive Operators-on Time Scales [J]. J4, 2012, 50(4): 677-680.
[10]	ZHANG Ji, YANG Xue. Exponential Dichotomy and Invariant Manifolds onDifferent Time Scales [J]. J4, 2011, 49(02): 237-250.
[11]	LEI Xiu-Shuang, CHANG Xiao-Jun. Continuation Theorems for Boundary Value Problems ofSecondOrder Dynamic Equations on Time Scales [J]. J4, 2010, 48(06): 949-950.
[12]	MO Bao-Cheng. Existence of Countably Many Positive Solutions to Nonlinear Dynamic Equations with Singularity [J]. J4, 2010, 48(05): 749-754.
[13]	FENG Yao-Ling. Analytic Functions on Products of Two Time Scales [J]. J4, 2010, 48(02): 189-192.
[14]	ZHAO Xin. Existence and Uniqueness of Antiperiodic Solution ofa Class of Nonlinear Differential Equation [J]. J4, 2008, 46(06): 1091-1093.

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

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 14

Metrics

Comments

Recommended 10