| k-STABILITY OF NONLINEAR NEUTRAL DELAY SYSTEMS |
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| 作者单位： | [1]Institute of Applied Math., Naval Aeronautical Engineering Institute,Yantai 264001, Shandong [2]School of Math. ＆ Information Sci., Yantai University, Yantai 264005, Shandong |
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| 基金项目： | the National Natural Science Foundation of China (10461006)，the Younger Foundation of Yantai University (SX06Z9) |
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| 摘 要： | In this paper,we first introduce the concept of k-globally asymptotic stabi- lity and present a differential-difference inequality with infinite delay.By com- bining nonlinear inequality and nonlinear variation-of-parameters formula,we derive the k-globally asymptotic stability criteria for nonlinear neutral system with infinite delay.In the end of this paper,an example is given to illustrate our theory.
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| 关 键 词： | 非线性中性体系 稳定性 延期系统 不等式 |
k-STABILITY OF NONLINEAR NEUTRAL DELAY SYSTEMS |
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| Zhang Lijuan Shi Bao. k-STABILITY OF NONLINEAR NEUTRAL DELAY SYSTEMS[J]. 微分方程年刊(英文版), 2007, 23(4): 575-580 |
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| Authors: | Zhang Lijuan Shi Bao |
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| Abstract: | In this paper,we first introduce the concept of k-globally asymptotic stabi- lity and present a differential-difference inequality with infinite delay.By com- bining nonlinear inequality and nonlinear variation-of-parameters formula,we derive the k-globally asymptotic stability criteria for nonlinear neutral system with infinite delay.In the end of this paper,an example is given to illustrate our theory. |
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| Keywords: | nonlinear neutral system infinite delay differential inequality with delay k-stability |
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