Title

Linear Hamiltonian Dynamic Systems on Time Scales: Sturmian Property of the Principal Solution

Abstract

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.

Meeting Name

3rd World Congress of Nonlinear Analysis

Department(s)

Mathematics and Statistics

Keywords and Phrases

Linear Hamiltonian dynamic System; Time scale; roundabout theorem; principal solution

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 Elsevier, All rights reserved.

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