Advanced Studies in Pure Mathematics

Oscillation theory of symplectic difference systems

Ondřej Došlý

Full-text: Open access

Abstract

Recent results in the oscillation theory of symplectic difference systems are presented. A particular attention is devoted to Sturmian and oscillation theorems for these systems and for the so-called reversed symplectic systems. Some open problems and conjectures are formulated.

Article information

Source
Advances in Discrete Dynamical Systems, S. Elaydi, K. Nishimura, M. Shishikura and N. Tose, eds. (Tokyo: Mathematical Society of Japan, 2009), 41-50

Dates
Received: 12 October 2007
First available in Project Euclid: 28 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543447639

Digital Object Identifier
doi:10.2969/aspm/05310041

Mathematical Reviews number (MathSciNet)
MR2582403

Zentralblatt MATH identifier
1179.39013

Keywords
Oscillation Symplectic difference system Discrete eigenvalue problem principal solution focal point Sturmian theorem Oscillation theorem

Citation

Došlý, Ondřej. Oscillation theory of symplectic difference systems. Advances in Discrete Dynamical Systems, 41--50, Mathematical Society of Japan, Tokyo, Japan, 2009. doi:10.2969/aspm/05310041. https://projecteuclid.org/euclid.aspm/1543447639


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