| Volterra积分微分系统的有界性与吸引性 |
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| 引用本文： | 裴冀南. Volterra积分微分系统的有界性与吸引性[J]. 四川大学学报(自然科学版), 2001, 38(4): 490-494 |
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| 作者姓名： | 裴冀南 |
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| 作者单位： | 重庆教育学院数学系, |
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| 摘 要： | 利用积分变换，非负矩阵谱的性质及微分不等式的技巧，给出了一类Volterra积分微分系统有界性与吸引集存在的充分条件。
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| 关 键 词： | Volterra积分微分方程 有界性 吸引集 积分变换 非负矩阵谱 微分不等式 全局渐近稳定 |
| 文章编号： | 0490-6756(2001)04-0490-05 |
BOUNDEDNESS AND ATTRACTIVITY OF VOLTERRA INTEGRODIFFERENTIAL SYSTEMS |
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| PEI Ji nan. BOUNDEDNESS AND ATTRACTIVITY OF VOLTERRA INTEGRODIFFERENTIAL SYSTEMS[J]. Journal of Sichuan University (Natural Science Edition), 2001, 38(4): 490-494 |
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| Authors: | PEI Ji nan |
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| Abstract: | Using the integral transformation, the properties of nonnegative matrices and techniques of inequalities, sufficient conditions are obtained which ensure that all solutions of a Volterra integrodifferential system with nonlinear perturbation are uniformty bounded and the attracting set of this systems is existential. |
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| Keywords: | Volterra integrodifferential equations bounded global attracting set |
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