Oscillation theory of linear differential and difference equations

DOŠLÝ, Ondřej. Oscillation theory of linear differential and difference equations. In Proceedings of Seminar ``Differential Equations 2002'', Palava 2002. Plzeň: West Bohemia University Press7, 2002, p. 7-73.

Basic information

• Original name: Oscillation theory of linear differential and difference equations
• Authors: DOŠLÝ, Ondřej (203 Czech Republic, guarantor).
• Edition: Plzeň, Proceedings of Seminar ``Differential Equations 2002'', Palava 2002, p. 7-73, 2002.
• Publisher: West Bohemia University Press7

Other information

• Original language: English
• Type of outcome: Proceedings paper
• 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/00216224:14330/02:00007185
• Organization unit: Faculty of Informatics
• Keywords in English: Oscillation theory; differential equations; difference equations
• Tags: difference equations, differential equations, oscillation theory

Abstract

Basic oscillatory properties of solutions of linear differential and difference equations are presented. A particular attention is devoted to second order differential equations (Sec. 1), higher order equations and differential systems (Sec. 2), second order difference equations (Sec. 3), symplectic difference systems and related equations (Sec. 4) and finally to dynamic equations on time scales as a unification of the discrete and continuous oscillation theories.

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

• MSM 143100001, plan (intention): Name: Funkcionální diferenciální rovnice a matematicko-statistické modely

Investor: Ministry of Education, Youth and Sports of the CR, Functional-differential equations and mathematical-statistical models