| Some Notes of p-Moment Boundedness of Nonlinear Differential Equation with Pandom Impulses |
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| 作者姓名： | 赵佃立 |
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| 作者单位： | College of |
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| 基金项目： | The Special Research Funds for Young Col-lege Teacher of Shanghai (No. 355877) |
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| 摘 要： | Introduction Since various impulsive phenomena occur ex-tensively in industrial engineering, biology, phy-sics, technology, etc, the nonlinear impulsive dif-ferential equation has drawn much attention frommany mathematicians in recent years, and some ofits qualitative properties have been studied. Sun,et al1-3]discussed the stability about the nonlinearimpulsive differential equation. Zhang, et al4]gavethe formula solutions of first order variable coeffi-cient linear impulsive differential e…
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| 关 键 词： | P-力矩有界性 非线性微分方程 随机冲量 Liapunov函数 |
| 文章编号： | 1007-1172（2006）03-0384-05 |
| 收稿时间： | 2005-09-22 |
Some Notes of p-Moment Boundedness of Nonlinear Differential Equation with Pandom Impulses |
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| ZHAO Dian-li.Some Notes of p-Moment Boundedness of Nonlinear Differential Equation with Pandom Impulses[J].Journal of Shanghai Jiaotong university,2006,11(3):384-388. |
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| Authors: | ZHAO Dian-li |
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| Abstract: | A model of nonlinear differential systems with impulsive effect on random moments is considered. The extensions of qualitative analysis of the model is mainly focused on and three modified sufficient conditions are presented about p-moment boundedness in the process by Liapunov method with nonlinear item dependent on the impulsive effects, which may gain wider use in industrial engineering, physics, etc. At last, an example is given to show an theoretical application of the obtained results. |
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| Keywords: | p-moment boundedness nonlinear differential equation with random impulses Liapunov function |
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