Atkinson's super-linear oscillation theorem for matrix dynamic equations on a time scale

被引：7

作者：

Ou, LM ^{[1
]}

机构：

[1] Zhongshan Univ, Dept math Sun Yat Sen, Guangzhou 510275, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 299卷 / 02期

关键词：

time scales; Riccati technique; operator; oscillation; non-oscillation;

D O I：

10.1016/j.jmaa.2004.06.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By applying the Riccati technique and operator theory, we establish on a time scale T both 2 oscillation and non-oscillation criteria for Atkinson's super-linear matrix dynamic equation X-Delta2 + [X-m (t)Q(t)X*(m)(t)](sigma) X-sigma (t) = 0. These results extend and unify earlier results for the differential and difference equation case. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：615 / 629

页数：15

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