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ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATION ON TIME SCALES
Authors:Chaolong Zhang~  Qiru Wang~  Fengjian Yang~  Deptof Computational Science  Zhongkai University Agriculture and Engineering  Guangzhou  ;  
Institution:Dept.of Computational Science,Zhongkai University Agriculture and Engineering,Guangzhou 510225);2.School of Math.and Computational Science,Sun Yat-Sen University,Guangzhou 510275)
Abstract:In this paper,we investigate a second order impulsive differential equation on time scales.Sufficient conditions are given to guarantee that the solutions tend to zero.The notable effect of impulse upon the asymptotic behavior of solutions is stressed in this paper.At last,we illustrate our results with two examples.
Keywords:asymptotic behavior  second order  dynamic equation  time scale  
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