Article
The Discrete Prüfer Transformation
Proceedings of the American Mathematical Society
Abstract
The classical Prüfer transformation has proved to be a useful tool in the study of Sturm-Liouville theory. In this paper we introduce the Prüfer transformation for self-adjoint difference equations and use it to obtain oscillation criteria and other results. We then offer an extension of this approach to the case of general symplectic systems on time scales. Time scales have been introduced in order to unify discrete and continuous analysis, and indeed our results cover as special cases both the Prüfer transformation for differential and for difference equations.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Prüfer transformation,
- Sturm-Liouville difference equations,
- Linear Hamiltonian difference systems,
- time scales,
- Symplectic systems
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2001 American Mathematical Society, All rights reserved.
Publication Date
1-1-2001
Publication Date
01 Jan 2001
Disciplines
Citation Information
Martin Bohner and Ondřej Došlý. "The Discrete Prüfer Transformation" Proceedings of the American Mathematical Society (2001) ISSN: 0002-9939 Available at: http://works.bepress.com/martin-bohner/118/