## Advanced Studies in Pure Mathematics

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

### Oscillation theory of symplectic difference systems

#### 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

**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