| 一类二阶n-维中立型泛函微分系统周期解存在性问题 |
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| 引用本文： | 李晓静,周友明,鲁世平.一类二阶n-维中立型泛函微分系统周期解存在性问题[J].应用数学学报,2011,34(3). |
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| 作者姓名： | 李晓静 周友明 鲁世平 |
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| 作者单位： | 1. 江苏技术师范学院数理学院,常州,213001
2. 安徽师范大学数学系,芜湖,241000 |
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| 基金项目： | 江苏省自然科学基金，江苏省高校自然科学基金，江苏技术师范学院青年科研基金项目 |
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| 摘 要： | 利用Fourier级数理论和重合度理论研究了一类二阶n-维中立型泛函微分系统d2/dt2(x(t)-Cx(t-r))+d/dt gradF(x(t))+gradG(x(t-τ(t)))=p(t)的周期解问题,得到了周期解存在性的新结论,有意义的是本文的矩阵C仅为一般的实方阵,不必为实对称阵,因而本文的结果改进和推广了已有工作.此外,本文周期解先验界估计方法与已有工作也不同.
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| 关 键 词： | 中立型微分系统 重合度 周期解 |
On the Existence of Periodic Solutions for a Kind of Second-order n-dimensional Neutral Functional Differential System |
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| LI XIAOJING,ZHOU YOUMING,LU SHIPING.On the Existence of Periodic Solutions for a Kind of Second-order n-dimensional Neutral Functional Differential System[J].Acta Mathematicae Applicatae Sinica,2011,34(3). |
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| Authors: | LI XIAOJING ZHOU YOUMING LU SHIPING |
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| Institution: | LI XIAOJING ZHOU YOUMING (College of Mathematics and Physics,Jiangsu Teachers University of Technology,Changzhou 213001) LU Shiping (Department of Mathematics,Anhui Normal University,Wuhu 241000) |
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| Abstract: | In this paper,by using the theory of Fourier series and continuation theorem of coincidence degree theory,we study a kind of second-order n-Dimensional neutral functional differential system with deviating arguments as follows: (d~2)/(dt~2)(x(t) - Cx(t - r)) +d/(dt)gradF(x(t)) + gradG(x(t - r(t))) = p(t). Some new results on the existence of periodic solutions are obtained.The interesting thing is that the matrix C is not required to be symmetric.Therefore,the results of this paper inprove and extend some k... |
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| Keywords: | neutral differential system coincidence degree periodic solution |
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