BOUNDEDNESS AND DISSIPATION FOR DYNAMIC EQUATIONS ON TIME SCALES

BOUNDEDNESS AND DISSIPATION FOR DYNAMIC EQUATIONS ON TIME SCALES

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摘要 In this paper we investigate tlae boundeoness and dissipation for dynamlc equations on time scales. By using Lyapunov type function and its Diniderivative, the boundedness and dissipation criteria for first-order IVP＇s are obtained. Some examples are given. Finally, we tentatively investigate convergence of the system. In this paper we investigate the boundedness and dissipation for dynamic equations on time scales. By using Lyapunov type function and its Dini-derivative, the boundedness and dissipation criteria for first-order IVP's are obtained. Some examples are given. Finally, we tentatively investigate convergence of the system.

作者 Ou Liuman Zhu Siming

机构地区 Dept. of Math. Dept. of Math.

出处《Annals of Differential Equations》 2006年第2期176-184,共9页 微分方程年刊（英文版）

基金 Supported by the NNSF of China (No.10371135).

关键词 time scale BOUNDEDNESS DISSIPATION Lyapunov function 有界性时间尺度耗散 Lyapunov函数

分类号 O175.8 [理学—基础数学]

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1Xiuping Yu 1,Hongyu Yang 2,Jianmei Zhang 1,Chengmin Hou 3 1.Dept.of Math.and Physics,Hebei Institute of Architecture and Civil Engineering,Zhangjiakou 075024,Hebei,2.Dept.of Mechanic and Engineering,Zhangjiakou Vocational Technology Institute,Zhangjiakou 075031,Hebei,3.Dept.of Math.,Yanbian University,Yanji 133002,Jilin,.OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR NEUTRAL PERTURBED DYNAMIC EQUATIONS ON TIME SCALES[J].Annals of Differential Equations,2012,28(4):460-464. 被引量：1
2Xu Yancong (College of Science, Hangzhou Normal University, Hangzhou 310036) Zhu Deming (Dept. of Math., East China Normal University, Shanghai 200062).OSCILLATION FOR NONLINEAR SECOND-ORDER DYNAMIC EQUATIONS ON TIME SCALES[J].Annals of Differential Equations,2008,24(4):457-469.
3Liuman Ou (Dept. of Math., Guangdong University of Business Studies, Guangzhou 510320, ) Siming Zhu (Dept. of Math., Zhongshan University, Guangzhou 510275).QUALITATIVE BEHAVIORS OF LINEAR TIME-INVARIANT DYNAMIC EQUATIONS ON TIME SCALES[J].Annals of Differential Equations,2010,26(2):206-214.
4Zhu Siming Li Yanhui (Math.and Computed Science Academy of Sun-Yatsen University,Guangzhou 510275) Rong Zhixin (IBM,Guangzhou 510620).REGION QUALITATIVE ANALYSIS OF PREDATOR-PREY SYSTEMS ON TIME SCALES[J].Annals of Differential Equations,2008,24(1):121-126. 被引量：1
5Said R.Grace,Zhenlai Han,Yunlong Shi.OSCILLATION CRITERIA FOR STRONGLY SUPERLINEAR AND STRONGLY SUBLINEAR HIGHER ORDER DYNAMIC EQUATIONS ON TIME SCALES[J].Annals of Differential Equations,2014,30(3):326-332.
6Oscillation Criteria for Third-order NonlinearNeutral Dynamic Equations on Time Scales[J].工程数学学报,2016,33(2):206-220. 被引量：3

Annals of Differential Equations

2006年第2期

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BOUNDEDNESS AND DISSIPATION FOR DYNAMIC EQUATIONS ON TIME SCALES

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