| 一类具有分布时滞的二阶泛函微分方程周期解 |
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| 引用本文： | 刘颖,朱宏伟.一类具有分布时滞的二阶泛函微分方程周期解[J].哈尔滨商业大学学报(自然科学版),2009,25(1). |
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| 作者姓名： | 刘颖 朱宏伟 |
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| 作者单位： | 1. 哈尔滨学院,教育科学学院,哈尔滨,150080
2. 青岛大学,数学学院,山东,青岛,266071 |
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| 基金项目： | 黑龙江省教育厅科研项目 |
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| 摘 要： | 考察了具有分布时滞的二阶泛函微分方程,利用重合度理论研究其周期解的存在性,得到了该方程周期解存在的充分条件,所得结果推广和改进了相关文献的结果.
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| 关 键 词： | 二阶泛函微分方程 分布时滞 周期解 重合度 |
Study on periodic solutions of second-order functional differential equations with distributed delays |
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| LIU Ying,ZHU Hong-wei.Study on periodic solutions of second-order functional differential equations with distributed delays[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2009,25(1). |
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| Authors: | LIU Ying ZHU Hong-wei |
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| Institution: | 1.School of Educational Science;Harbin College;Harbin 150080;China;2.School of Mathematical Science;Qingdao University;Qingdao 266071;China |
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| Abstract: | In this paper,the existence of periodic solutions for second-order functional differential equations with distributed delays is investigated by applying Mawhin's coincidence degree theory,and some sufficient criteria are established,which improve some known results. |
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| Keywords: | second-order functional differential equations distributed delays periodic solutions coincidence degree |
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