| 一类三阶中立型泛函微分方程周期解的存在性 |
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| 引用本文： | 邓春红,冯春华. 一类三阶中立型泛函微分方程周期解的存在性[J]. 延边大学学报(自然科学版), 2009, 35(2): 102-105 |
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| 作者姓名： | 邓春红 冯春华 |
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| 作者单位： | 邓春红,DENG Chun-hong(湖南科技学院,数学与计算科学系,湖南,永州,425100);冯春华,FENG Chun-hua(广西师范大学,数学科学系,广西,桂林,541004) |
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| 摘 要： | 研究了一类三阶非线性中立型泛函微分方程[x（t）＋cx（t-τ）]′″＋∑i=1^2[aix^（i）（t）＋bix^（i）（t-τi）]＋g（t,x（t-σ））=p（t）周期解的存在性，并利用重合度理论给出了该方程存在周期解的充分性定理．
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| 关 键 词： | 三阶泛函微分方程 中立型方程 周期解 重合度 |
Existenc of Periodic Solutions for Third Order Neutral Delay Equations |
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| DENG Chun-hong,FENG Chun-hua. Existenc of Periodic Solutions for Third Order Neutral Delay Equations[J]. Journal of Yanbian University (Natural Science), 2009, 35(2): 102-105 |
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| Authors: | DENG Chun-hong FENG Chun-hua |
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| Affiliation: | DENG Chun-hong, FENG Chun-hua ( 1. Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou 425100; 2. College of Mathematical Sciences, Guangxi Normal University, Guilin 541004, China ) |
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| Abstract: | We discuss the existence of periodic solution of the following nonlinear neutral delay equation：[x（t）＋cx（t-τ）]′″＋∑i=1^2[aix^（i）（t）＋bix^（i）（t-τi）]＋g（t,x（t-σ））=p（t）, a sufficient condition for the existence of periodic solution of the equation is given by using the coindence degree theory. |
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| Keywords: | third order delay equation neutral delay equation periodic solution coincidence degree |
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