| 高阶非线性差分方程的导数收敛及其应用 |
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| 引用本文： | 王林峰.高阶非线性差分方程的导数收敛及其应用[J].数学研究,2003,36(1):43-50,62. |
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| 作者姓名： | 王林峰 |
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| 作者单位： | 南通师范学院数学系,江苏,南通,226007 |
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| 摘 要： | 首先研究高阶线性差分方程的整体收敛性，并证明了高阶非线性差分方程各阶导数的整体收敛；进而得到了关于高阶非线性差分方程整体收敛的一个定理，最后利用这个定理部分解决了Ladas提出的一个猜测。
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| 关 键 词： | 高阶非线性差分方程 特征方程 整体收敛 导数收敛 |
Derivative Convergence of Higher Order Nonlinear Difference Equations and its Applications |
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| Wang Linfeng.Derivative Convergence of Higher Order Nonlinear Difference Equations and its Applications[J].Journal of Mathematical Study,2003,36(1):43-50,62. |
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| Authors: | Wang Linfeng |
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| Abstract: | First we study global attractivity for linear difference equations of higher order and prove the global attractivity in derivative of higher order nonlinear difference equations. Moreover, we get a result about the global attractivity of higher order nonlinear difference equations. Finally, we use the result partly solve a conjecture of Ladas. |
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| Keywords: | Higher order nonlinear difference equation Eigenvalue equation global attractivity |
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