常系数线性差分方程组的一种解法

黄永年, 昔秀峰

应用数学学报 ›› 1995, Vol. 18 ›› Issue (4) : 481-486.

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中国科学院数学与系统科学研究院期刊网
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应用数学学报 ›› 1995, Vol. 18 ›› Issue (4) : 481-486. DOI: 10.12387/C1995061
论文

常系数线性差分方程组的一种解法

    黄永年1, 昔秀峰2
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A METHOD FOR SOLVING THE SYSTEM OF DIFFERENCE EQUATION WITH CONSTANT COEFFICIENTS

    HUANG YONGNIAN1, XI XIUFENG2
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摘要

本文给出常系数线性差分方程组求通解的一种方法:循环特征向量列法.

Abstract

This paper gives a new method for solving the system of difference equation with constant coefficients. We introduce the conception of the series of cyclical characteristic vectors and construct the general solution of system (1) by the series of cyclical characteristic vectors.

关键词

常系数 / 线性差分方程 / 循环特征向量列

Key words

Constant coefficients / linear difference equation / series of cyclical charateristic vectors

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黄永年, 昔秀峰. 常系数线性差分方程组的一种解法. 应用数学学报, 1995, 18(4): 481-486 https://doi.org/10.12387/C1995061
HUANG YONGNIAN, XI XIUFENG. A METHOD FOR SOLVING THE SYSTEM OF DIFFERENCE EQUATION WITH CONSTANT COEFFICIENTS. Acta Mathematicae Applicatae Sinica, 1995, 18(4): 481-486 https://doi.org/10.12387/C1995061

参考文献

[1] 王联,王慕秋.常差分方程,乌鲁木齐:新扭大学出版社,1991.
[2] V.Lakshmikanthan and D.Trigiante.Theory of Difference Equations,New York:Academic Press 1988.
[3] Spiegl,M.R.Finite Difference and Difference Equation,Schaum Series,New York,1971.

基金

国家自然科学基金
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