| 带有脉冲的泛函微分方程周期边值问题 |
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| 引用本文： | 何智敏,葛渭高. 带有脉冲的泛函微分方程周期边值问题[J]. 北京理工大学学报(英文版), 1999, 8(4): 347-351 |
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| 作者姓名： | 何智敏 葛渭高 |
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| 作者单位： | 北京理工大学应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金;19871005; |
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| 摘 要： | 目的研究带有脉冲的泛函微分方程周期边值问题. 方法应用单调迭代技术结合上下解方法讨论最大解与最小解的存在性. 结果与结论获得了带有脉冲的泛函微分方程周期边值问题的最大解与最小解的存在性结果.
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| 关 键 词： | 泛函微分方程 上下解 单调迭代技术 周期边值问题 脉冲 |
| 收稿时间： | 1998-06-09 |
Periodic Boundary Value Problem for Functional Differential Equations with Impulses |
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| He Zhimin and He Zhimin. Periodic Boundary Value Problem for Functional Differential Equations with Impulses[J]. Journal of Beijing Institute of Technology, 1999, 8(4): 347-351 |
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| Authors: | He Zhimin and He Zhimin |
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| Affiliation: | Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081;Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | Aim To investigate the periodic boundary value problem for functional differential equations with impulses. Methods The method of upper and lower solutions and the monotone iterative technique were used to establish our results. Results and Conclusion The results of the existence of maximal and minimal solutions of the periodic boundary value problem for functional differential equations with impulses are obtained. |
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| Keywords: | functional differential equation upper and lower solutions monotone iterative technique periodic boundary value problem impulse |
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