| 一个神经网络模型的三周期波解的存在性 |
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| 引用本文： | 孙笑言,侯成敏.一个神经网络模型的三周期波解的存在性[J].佳木斯工学院学报,2012(2):259-262. |
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| 作者姓名： | 孙笑言 侯成敏 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 基金项目： | 国家自然科学基金资助项目（11161049） |
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| 摘 要： | 主要研究一个神经网络模型的周期波解问题.首先给出了三周期波解的定义及其相关的引理,其次证明了该模型的波解存在性问题可以转化为相应的偏差分方程解的存在性问题,并建立了此模型存在周期波解的充分性条件.
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| 关 键 词： | 神经网络 偏差分方程 周期 波解 |
Study on the Existence of Periodic Wave Solution Based on Neural Network Model |
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| Authors: | SUN Xiao-yan HOU Cheng-min |
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| Affiliation: | (Department of Mathematics,Yanbian University,Yanji 133002,China) |
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| Abstract: | In this paper,the periodic wave solution problem was studied by a neural network model.First,the definition of the three periodic wave solutions and its associated lemmas were given.Then,the existence of wave solutions of the model can be transformed into the corresponding existence of solutions of partial difference equations.Some existence results of periodic wave solutions are obtained for the model. |
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| Keywords: | neural network wave solution partial difference equation period |
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