Lyapunov inequalities for discrete linear Hamiltonian systems

被引：78

作者：

Guseinov, GS ^{[1
]}

Kaymakçalan, B

机构：

[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

[2] Georgia So Univ, Dept Math & Comp Sci, Statesboro, GA 30460 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 45卷 / 6-9期

关键词：

Hamiltonian system; Lyapunov inequality; generalized zero; disconjugacy; stability;

D O I：

10.1016/S0898-1221(03)00095-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some Lyapunov type inequalities for discrete linear scalar Hamiltonian systems when the coefficient c(t) is not necessarily nonnegative valued and when the end-points are not necessarily usual zeros, but rather, generalized zeros. Applying these inequalities, we obtain some disconjugacy and stability criteria for discrete Hamiltonian systems. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1399 / 1416

页数：18

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