Necessary and sufficient conditions for the oscillation of systems of difference equations with continuous arguments

被引：3
|
作者：
Meng, Q [1 ]
Zhao, AM [1 ]
Yan, JR [1 ]
机构：
[1] Shanxi Univ, Dept Math, Taiyuan 030006, Shanxi, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 312卷 / 01期
关键词：
oscillation; systems of difference equations; continuous argument; characteristic equation; eigenvalue; logarithmic norm;
D O I：
10.1016/j.jmaa.2005.03.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the oscillation of all solutions of system of the form y(t) + Sigma(n)(i=1) Pi y(t - tau(i)) = 0, where P-i is an element of R-m x m, tau(i) is an element of R (i = 1, 2,..., n), is studied. Necessary and sufficient conditions in terms of the characteristic equation and explicit conditions in terms of the eigenvalues or the logarithmic norms of the coefficient matrices are established. (c) 2005 Elsevier Inc. All rights reserved.
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页码：72 / 82
页数：11
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