| 一类时滞微分系统的周期解和全局吸引性 |
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| 引用本文： | 陈凤德,陈晓星,林发兴,史金麟. 一类时滞微分系统的周期解和全局吸引性[J]. 应用数学学报, 2005, 28(1): 55-64 |
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| 作者姓名： | 陈凤德 陈晓星 林发兴 史金麟 |
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| 作者单位： | 福州大学数学与计算机学院,福州,350002 |
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| 基金项目： | 国家自然科学基金(数学天元基金)(10426010),福建省青年科技人才创新基金(2004J0002),福州大学校科技发展基金(2003-XQ-21)和福州大学人才基金(XJY-0211)资助项目. |
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| 摘 要： | 本文考虑如下时滞高维微分周期系统的周期解.利用重合度理论中的延拓定理和Lyapunov泛函方法讨论了上述系统周期解的存在性和全局吸引性,得到了便于应用的新结果.
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| 关 键 词： | 时滞 周期解 存在性 重合度 全局吸引性 |
PEIODIC SOLUTIONS AND GLOBAL ATTRACTIVITY OF A CLASS OF DIFFERENTIAL EQUATIONS WITH DELAYS |
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| CHEN FENGDE CHEN XIAOXING LIN FAXING SHI JINLIN. PEIODIC SOLUTIONS AND GLOBAL ATTRACTIVITY OF A CLASS OF DIFFERENTIAL EQUATIONS WITH DELAYS[J]. Acta Mathematicae Applicatae Sinica, 2005, 28(1): 55-64 |
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| Authors: | CHEN FENGDE CHEN XIAOXING LIN FAXING SHI JINLIN |
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| Abstract: | In this paper, higher dimentional periodic system with delays of the formis considered. By using the coincidence degree theory and constructing suitable Lyapunov functional, some sufficient conditions which guarantee the existence and global attractivity of periodic solution of above system are obtained. The results are effctive and easily testified. |
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| Keywords: | delays periodic solution existence global attractive coincidence degree |
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