| 一类积分微分方程行波解存在唯一性定理的反例 |
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| 引用本文： | 刘菊红,郝敦元.一类积分微分方程行波解存在唯一性定理的反例[J].内蒙古大学学报(自然科学版),2010,41(3). |
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| 作者姓名： | 刘菊红 郝敦元 |
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| 作者单位： | 1. 内蒙古大学数学科学学院,呼和浩特,010021;内蒙古农业大学理学院,呼和浩特,010018
2. 内蒙古大学数学科学学院,呼和浩特,010021 |
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| 摘 要： | 研究神经网络中的一个积分微分方程:ut=f(u,w)+α∫RK(x,y)H(u(y,t)-θ)dy行波解的存在唯一性问题.进行参数配置,使用Matlab软件绘制出了一个具有六个不动点的相位图,在数值模拟角度说明了已有的存在唯一性定理不成立.
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| 关 键 词： | 神经网络 积分微分方程 行波解 相位图 |
A Negative Case of Theorem about Existance and Uniqueness of Traveling Waves Solutions of Some Intergral Differential Equations |
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| LIU Ju-hong,HAO Dun-yuan.A Negative Case of Theorem about Existance and Uniqueness of Traveling Waves Solutions of Some Intergral Differential Equations[J].Acta Scientiarum Naturalium Universitatis Neimongol,2010,41(3). |
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| Authors: | LIU Ju-hong HAO Dun-yuan |
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| Institution: | LIU Ju-hong1,2,HAO Dun-yuan1(1.School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China,2.School of Sciences,Inner Mongolia Agricultural University,Hohhot 010018,China) |
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| Abstract: | The traveling wave solution of an integral differential equation arising from neuronal networks is discussed.By choosing certain group of parameters and using Matlab software,the portrait in phase-plane is obtained.It shows that the traveling wave solution assumed does not exist. |
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| Keywords: | neuronal network integral differential equation traveling wave solution portrait in phase-plane |
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