Phases of linear difference equations and symplectic systems

DOŠLÁ, Zuzana and Denisa ŠKRABÁKOVÁ. Phases of linear difference equations and symplectic systems. Math. Bohemica. vol. 128, No 3, p. 293-308. ISSN 0862-7959. 2003.

Basic information

• Original name: Phases of linear difference equations and symplectic systems
• Authors: DOŠLÁ, Zuzana (203 Czech Republic, guarantor) and Denisa ŠKRABÁKOVÁ (203 Czech Republic).
• Edition: Math. Bohemica, 2003, 0862-7959.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• RIV identification code: RIV/00216224:14310/03:00008444
• Organization unit: Faculty of Science
• Keywords in English: Symplectic system; Stur-Liouville difference equation; phase; trigonometric transformation
• Tags: phase, Stur-Liouville difference equation, symplectic system, trigonometric transformation

Abstract

The concept of the phase of symplectic systems is introduced as the discrete analogy of the Boruvka concept of the phase of second order linear differential equations. Oscillation and nonoscillation of difference equations and systems are investigated in connections with phases and trigonometric systems.

Links

• GA201/01/0079, research and development project: Name: Kvalitativní teorie řešení diferenčních rovnic

Investor: Czech Science Foundation, Qualitative theory of solutions of difference equations

• GA201/99/0295, research and development project: Name: Kvalitativní teorie diferenciálních rovnic

Investor: Czech Science Foundation, Qualitative theory of differential equations