Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria

被引：8

作者：

Zafer, Agacik ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 396卷 / 02期

关键词：

Hamiltonian system; Discrete; Disconjugacy; Stability; Lyapunov inequality;

D O I：

10.1016/j.jmaa.2012.07.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first establish new Lyapunov type inequalities for discrete planar linear Hamiltonian systems. Next, by making use of the inequalities, we derive stability and disconjugacy criteria. Stability criteria are obtained with the help of the Floquet theory, so the system is assumed to be periodic in that case. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：606 / 617

页数：12

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