| 时滞四阶混合型微分方程的周期解 |
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| 引用本文： | 覃荣存,冯春华. 时滞四阶混合型微分方程的周期解[J]. 广西师范学院学报（自然科学版）, 2009, 0(1): 46-50 |
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| 作者姓名： | 覃荣存 冯春华 |
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| 作者单位： | 广西师范大学数学科学学院,广西桂林541004 |
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| 基金项目： | 广西教育厅科研基金（200708LX163） |
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| 摘 要： | 运用Fourier级数理论和实分析不等式方法,研究了两类时滞四阶混合型微分方程的周期解问题,得到了几个证明某些时滞四阶混合型微分方程周期解的存在性和唯一性的充分条件．当bj2≡0（j=0,1,…,d）时,所得结果包含了文献中章毅、曹进得、司建国等人的一些结果．
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| 关 键 词： | 时滞 四阶混合型微分方程 周期解 Fourier级数 |
Periodic Solutions of Fourth-order CDEs with Delays |
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| QIN Rong-cun,FENG Chun-hua. Periodic Solutions of Fourth-order CDEs with Delays[J]. Journal of Guangxi Teachers College(Natural Science Edition), 2009, 0(1): 46-50 |
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| Authors: | QIN Rong-cun FENG Chun-hua |
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| Affiliation: | (College of Mathematical Science, Guangxi Normal University, Guilin 541004, China) |
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| Abstract: | In this paper, the periodic solutions of two classes of four-order CDEs with delays are studied by applying Fourier series theory and techniques of real analysis inequality. We obtain some sufficient conditions which guarantee the existence, and uniqueness theorems contain some of the results by Yi Zhang et al. in the literature when bjz≡0（j =0,1,2, …… ,4） . |
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| Keywords: | delay fourth-order composed differential equation periodic solution Fourier series |
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