About: Oscillation theorems for symplectic difference systems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We consider symplectic difference systems involving a spectral parameter, together with the Dirichlet boundary conditions. The main result of the paper is a discrete version of the so-called oscillation theorem which relates the number of finite eigenvalues less than a given number to the number of focal points of the principal solution of the symplectic system. In two recent papers the same problem was treated and an essential ingredient was to establish the concept of the multiplicity of a focal point. But there was still a rather restrictive condition needed, which is eliminated here by using the concept of finite eigenvalues (or zeros) from the theory of matrix pencils. We consider symplectic difference systems involving a spectral parameter, together with the Dirichlet boundary conditions. The main result of the paper is a discrete version of the so-called oscillation theorem which relates the number of finite eigenvalues less than a given number to the number of focal points of the principal solution of the symplectic system. In two recent papers the same problem was treated and an essential ingredient was to establish the concept of the multiplicity of a focal point. But there was still a rather restrictive condition needed, which is eliminated here by using the concept of finite eigenvalues (or zeros) from the theory of matrix pencils. (en)
Title	Oscillation theorems for symplectic difference systems Oscillation theorems for symplectic difference systems (en)
skos:prefLabel	Oscillation theorems for symplectic difference systems Oscillation theorems for symplectic difference systems (en)
skos:notation	RIV/00216224:14310/07:00020334!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/04/0580), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Došlý, Ondřej
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	440084
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/07:00020334
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Local oscillation theorem; global oscillation theorem; discrete eigenvalue problem; symplectic difference system; focal point; conjoined basis; principal solution (en)
http://linked.open.../riv/klicoveSlovo	conjoined basis discrete eigenvalue problem focal point principal solution Local oscillation theorem global oscillation theorem symplectic difference system
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[E9BDF293B823]
http://linked.open...i/riv/nazevZdroje	J. Difference Equ. Appl.
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Difference equations and dynamic equations on time scales
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	13
http://linked.open...iv/tvurceVysledku	Došlý, Ondřej Kratz, Werner
http://linked.open...ain/vavai/riv/wos	000248295000003
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
issn	1023-6198
number of pages	21 (xsd:int)
http://localhost/t...ganizacniJednotka	14310

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