FORCED OSCILLATIONS OF SECOND ORDER SUPER-LINEAR DIFFERENTIAL EQUATION WITH IMPULSES

FORCED OSCILLATIONS OF SECOND ORDER SUPER-LINEAR DIFFERENTIAL EQUATION WITH IMPULSES

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摘要 At first,by means of Kartsatos technique,we reduce the impulsive differential equation to a second order nonlinear impulsive homogeneous equation.We find some suitable impulse functions such that all the solutions to the equation are oscillatory.Several criteria on the oscillations of solutions are given.At last,we give an example to demonstrate our results. At first,by means of Kartsatos technique,we reduce the impulsive differential equation to a second order nonlinear impulsive homogeneous equation.We find some suitable impulse functions such that all the solutions to the equation are oscillatory.Several criteria on the oscillations of solutions are given.At last,we give an example to demonstrate our results.

作者 Chaolong Zhang 1,2,Feiqi Deng 2(1.Computational Science School,Zhongkai University of Agriculture and Engineering,Guangzhou 510225 2.College of Automation Science and Engineering,South China University of Technology,Guangzhou 510640)

出处《Annals of Differential Equations》 2012年第4期465-470,共6页 微分方程年刊（英文版）

基金 supported by the National Natural Science Foundation of China (No.10971231 31071560) the NSF of Guangdong Province (No.10151022501000004 8151027501000053)

关键词 second order IMPULSE super-linear OSCILLATION forcing term second order impulse super-linear oscillation forcing term

分类号 O175 [理学—基础数学]

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参考文献11

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Annals of Differential Equations

2012年第4期

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FORCED OSCILLATIONS OF SECOND ORDER SUPER-LINEAR DIFFERENTIAL EQUATION WITH IMPULSES

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