| 一类二阶中立型微分差分方程周期解的存在性 |
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| 引用本文： | 郭志明,徐远通.一类二阶中立型微分差分方程周期解的存在性[J].应用泛函分析学报,2003,5(1):13-19. |
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| 作者姓名： | 郭志明 徐远通 |
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| 作者单位： | 1. 湖南大学应用数学系,湖南,长沙,410082
2. 中山大学数学系,广东,广州,510275 |
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| 基金项目： | Supported by Foundation of Zhongshan University Advanced Research Centre(0 2 M9) |
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| 摘 要： | 考虑如下二阶中立型微分差分方程的边值问题：{x(t-τ)-x(t-τ） f(t,x(t),x(t-τ）,x(t-2τ）=0 x(0)=x(2kτ），x（0）=x（2kτ）其中k是任意给定的正整数,τ 为正实数，利用含有偏差变元的变分结构及临界点理论，作给出了判定上述方程存在非平凡周期解的判定准则。
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| 关 键 词： | 边值问题 变分结构 临界点理论 中立型微分差分方程 周期解 存在性 |
Existence of Periodic Solutions to a Class of Second-order Neutral Differential Difference Equations |
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| GUO Zhi-ming,XU Yuan-tong.Existence of Periodic Solutions to a Class of Second-order Neutral Differential Difference Equations[J].Acta Analysis Functionalis Applicata,2003,5(1):13-19. |
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| Authors: | GUO Zhi-ming XU Yuan-tong |
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| Abstract: | By means of variational structure and critical point theory, we give some criteria for the existence of periodic solutions to a class of second-order neutral differential difference equations as the following type(t-τ)-x(t-τ)+f(t,x(t),x(t-τ),x(t-2τ))=0with the boundary value conditionx(0)=x(2kτ), (0)=(2kτ)where k is a given positive integer and τ is a positive number. |
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| Keywords: | neutral differential difference equation periodic solutions variational structure |
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