Linear Hamiltonian dynamic systems on time scales: Sturmian property of the principal solution

被引：16

作者：

Bohner, M

Dosly, O

Hilscher, R ^{[1
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] Acad Sci Czech Republ, Math Inst, CZ-61662 Brno, Czech Republic

[3] Univ Missouri, Dept Math & Stat, Rolla, MO 65409 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 02期

关键词：

linear Hamiltonian dynamic system; time scale; roundabout theorem; principal solution;

D O I：

10.1016/S0362-546X(01)00228-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems on time scales are presented. It is shown that these results incorporate, as particular cases, oscillation and transformation theories of linear Hamiltonian differential systems and symplectic difference systems. In the last part of the paper a Sturmian-type property of the principal solution of linear Hamiltonian dynamic systems is established.

引用

页码：849 / 860

页数：12

共 14 条

[1]

Ahlbrandt C.D., 1996, DISCRETE HAMILTONIAN

[2]

AHLBRANDT CD, IN PRESS J MATH ANAL

[3] Disconjugacy and transformations for symplectic systems [J].