| 一类无穷时滞微分系统的周期解和全局渐近稳定性 |
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| 引用本文： | 彭世国,朱思铭.一类无穷时滞微分系统的周期解和全局渐近稳定性[J].应用数学学报,2004,27(3):416-422. |
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| 作者姓名： | 彭世国 朱思铭 |
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| 作者单位： | 1. 广东工业大学应用数学系,广州,510090
2. 中山大学数学系,广州,510275 |
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| 基金项目： | 国家自然科学基金(10371135号)资助项目. |
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| 摘 要： | 利用重合度理论中的延拓定理和微分不等式讨论一类无穷时滞微分系统的周期解的存在性和全局渐近稳定性,获得了简便的判别条件.
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| 关 键 词： | 无穷时滞 微分系统 周期解 延拓定理 全局渐近稳定性 |
EXISTENCE AND GLOBALLY ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR A CLASS OF DIFFERENTIAL SYSTEMS WITH INFINITE DELAY |
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| Peng Shiguo,ZHU SIMING.EXISTENCE AND GLOBALLY ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR A CLASS OF DIFFERENTIAL SYSTEMS WITH INFINITE DELAY[J].Acta Mathematicae Applicatae Sinica,2004,27(3):416-422. |
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| Authors: | Peng Shiguo ZHU SIMING |
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| Abstract: | Using continuation theorem in coincidence degree theory and differential inequality, the existence and globally asymptotic stability of periodic solutions for a class of differential systems with infinite delay
are discussed Some effective results are obtained. |
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| Keywords: | Infinite delay differential systems periodic solutions continuation theorem globally asymptotic stability |
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