| 二阶非线性中立型泛函微分方程周期解的存在性 |
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| 引用本文： | 王根强,燕居让.二阶非线性中立型泛函微分方程周期解的存在性[J].数学学报,2004,47(2):379-384. |
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| 作者姓名： | 王根强 燕居让 |
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| 作者单位： | 1. 广东技术师范学院计算机科学系,广州,510665
2. 山西大学数学系,太原,030006 |
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| 基金项目： | 国家自然科学基金资助项目(10071045) |
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| 摘 要： | 本文利用重合度理论,研究二阶非线性中立型泛函微分方程x(t)+cx(t- τ)]11+g(t,x(t-σ)=p(t)的周期解的存在性,给出该方程存在周期解的充分性定理.
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| 关 键 词： | 中立型方程 非线性 周期解 |
| 文章编号： | 0583-1431(2004)02-0379-06 |
Existence of Periodic Solutions for Second Order Nonlinear Neutral Delay Equations |
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| Gen Qiang WANG.Existence of Periodic Solutions for Second Order Nonlinear Neutral Delay Equations[J].Acta Mathematica Sinica,2004,47(2):379-384. |
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| Authors: | Gen Qiang WANG |
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| Institution: | Gen Qiang WANG
(Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou 510665, P. R. China)
Ju Rang YAN (Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China) |
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| Abstract: | In this paper, we discuss the following nonlinear neutral delay equation: x(t) + cx(t - τ)]" + g(t,x(t - σ)) - p(t), by using the coincidence degree theory. A sufficient condition for the existence of periodic solution of the equation is given. |
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| Keywords: | Neutral delay equation Nonlinear Periodic solution |
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