| 关于Volterra积分微分方程解的稳定性与有界性 |
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| 引用本文： | 安薇.关于Volterra积分微分方程解的稳定性与有界性[J].山东师范大学学报(自然科学版),1997,12(4):379-383. |
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| 作者姓名： | 安薇 |
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| 作者单位： | 济南教育学院数学系 |
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| 摘 要： | 利用Ｌｉａｐｎｏｖ泛函，给出了Ｖｌｔｅｒｒａ积分微分方程一致稳定性，全局一致渐近稳定性，指数渐进稳定性，一致有界性，一致最终有界性的几个定理。这些这理减弱了对Ｌｉａｐｕｎｏｖ泛函的要求，推广了文「１」的相应结果。
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| 关 键 词： | 积分微分方程 稳定性 有界性 解 |
ON STABILITY AND BOUNDEDNESS OF SOLUTIONS FOR VOLTERRA INTEGRAL AND DIFFERENTIAL EQUATIONS |
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| An wei.ON STABILITY AND BOUNDEDNESS OF SOLUTIONS FOR VOLTERRA INTEGRAL AND DIFFERENTIAL EQUATIONS[J].Journal of Shandong Normal University(Natural Science),1997,12(4):379-383. |
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| Authors: | An wei |
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| Abstract: | With the help of Liapunov functional,we obtain some theorems of uniform stability,uniform asymptotic stability in the large,exponential asmptotic stability,uniform boundednes and uniform ultimate boundednes of solutions of Volterra integral and differential equations.The demands for Liapunov functional are weakened and some corresponding results in 1 are extended. |
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| Keywords: | volterra integral and differential equations stability boundedness |
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