| 关于扰动Volterra型差分方程的两度量稳定性 |
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| 引用本文： | 王培光,田淑环.关于扰动Volterra型差分方程的两度量稳定性[J].黑龙江大学自然科学学报,2006,23(4):421-423. |
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| 作者姓名： | 王培光 田淑环 |
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| 作者单位： | 1. 河北大学,电子信息工程学院,河北,保定,071002
2. 河北大学,数学与计算机学院,河北,保定,071002 |
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| 摘 要： | 讨论了一类扰动Volterra型差分方程,给出了关于扰动系统和非扰动系统的比较原理,并运用这一比较原理和Lyapunov函数方法,给出了扰动Volterra型差分方程的两度量稳定性的判别准则.
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| 关 键 词： | 扰动Volterra型差分方程 两度量稳定 比较定理 |
| 文章编号： | 1001-7011(2006)04-0421-03 |
| 修稿时间： | 2006年1月14日 |
Stability in terms of two measures for perturbed Volterra-type difference equations |
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| WANG Pei-guang,TIAN Shu-huan.Stability in terms of two measures for perturbed Volterra-type difference equations[J].Journal of Natural Science of Heilongjiang University,2006,23(4):421-423. |
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| Authors: | WANG Pei-guang TIAN Shu-huan |
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| Abstract: | Some criteria on stability in terms of two measures for the perturbed Volterra-type difference equations are obtained by establishing a new comparison theorem which connects the perturbed system and the unperturbed one. |
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| Keywords: | perturbed Volterra-type difference equations stability in terms of two measures comparison theorem |
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