A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems

被引：21
作者：
Bohner, M
Dosly, O
Kratz, W
机构：
[1] San Diego State Univ, Dept Math, San Diego, CA 92182 USA
[2] Masaryk Univ, Dept Math, CZ-66295 Brno, Czech Republic
[3] Univ Ulm, Abt Math 5, D-89069 Ulm, Germany
来源：
APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 02期
关键词：
discrete Hamiltonian system; conjoined basis; focal point; recessive solution; Sturmian theorem;
D O I：
10.1016/S0893-9659(98)00156-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main result of the paper is a Sturmian-type separation theorem for the recessive solutions of linear Hamiltonian difference systems. The assumptions on the Hamiltonian systems allow to include the study of Sturm-Liouville difference equations of higher order. As an application of the main result, some Sturmian-type comparison results are obtained. (C) 1998 Elsevier Science Ltd. All rights reserved.
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页码：101 / 106
页数：6
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