| 一类具有偏差变元的非线性中立型微分方程周期解的存在性 |
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| 引用本文： | 任景莉,葛渭高.一类具有偏差变元的非线性中立型微分方程周期解的存在性[J].北京理工大学学报(英文版),2002,11(4):439-443. |
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| 作者姓名： | 任景莉 葛渭高 |
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| 作者单位： | 1. 北京理工大学,应用数学系,北京,100081;郑州大学数学系,郑州,450052;2. 北京理工大学,应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金，the Fund for Research on Doctoral Programs in Institutions of Higher Learning |
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| 摘 要： | 利用k-集压缩算子拓扑度抽象连续定理和某些分析技巧,讨论了一类非线性中立型时滞微分方程x′(t)=f(x,x(t),x(t-τ1(t)),x′(t-τ2(t)))+p(t)的周期解问题,得到了其周期解存在的充分条件.
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| 关 键 词： | 中立型时滞微分方程 周期解 Fredholm算子 k-集压缩算子 |
| 收稿时间： | 2001/12/22 0:00:00 |
Existence of Periodic Solutions of Nonlinear Neutral Differential Equation with Deviating Argument |
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| REN Jing-li and GE Wei-gao.Existence of Periodic Solutions of Nonlinear Neutral Differential Equation with Deviating Argument[J].Journal of Beijing Institute of Technology,2002,11(4):439-443. |
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| Authors: | REN Jing-li and GE Wei-gao |
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| Affiliation: | Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China; Department of Mathematics, Zhengzhou University, Zhengzhou, Henan450052, China;Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | Existence criteria is established for the periodic solution of the nonlinear neutral delay differential equation x′(t)=f(t,x(t),x(t-τ1(t)),x′(t-τ2(t)))+p(t) by means of an abstract continuous theorem of k-set contractive operator and some analysis technique. |
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| Keywords: | neutral delay differential equation periodic solution Fredholm operator k-set contractive operator |
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