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关于带有非线性控制项及强迫项的差分方程的周期解
引用本文:韩力力,侯成敏.关于带有非线性控制项及强迫项的差分方程的周期解[J].纯粹数学与应用数学,2010,26(3):446-453.
作者姓名:韩力力  侯成敏
作者单位:延边大学数学系,吉林,延吉,133002;延边大学数学系,吉林,延吉,133002
摘    要:考虑了带有非线性控制函数及强迫项的差分方程,该方程可应用于神经网络的研究中,建立了该方程存在周期解的一个充分条件,表明如何将其周期解构造出来并给出一个具体例子说明这一结果.

关 键 词:差分方程  周期解  非线性控制函数

Periodic solutions of difference equations with nonlinear control functions and forced term
HAN Li-li,HOU Cheng-min.Periodic solutions of difference equations with nonlinear control functions and forced term[J].Pure and Applied Mathematics,2010,26(3):446-453.
Authors:HAN Li-li  HOU Cheng-min
Institution:HAN Li-li 1,HOU Cheng-min 2(1.Department of Mathematics,Yanbian University,Yanji 133002,China,2.Department of Mathematics,China)
Abstract:In this paper,we propose the difference equation with nonlinear control functions and forced term.The equation as a model for the neural networks.Some suffcient conditions for the periodic solution are obtained,and show how periodic solutions can be constructed and a example is also included to illustrate our results.
Keywords:difference equation  periodic solution  signal transfer function  
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