About: Weyl-Titchmarsh theory for time scale symplectic systems on half line

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.hindawi.com/journals/aaa/differential.difference.equations/
Description	In this paper we develop the Weyl-Titchmarsh theory for time scale symplectic systems. We introduce the M(lambda)-function, study its properties, construct the corresponding Weyl disk and Weyl circle, and establish their geometric structure including the formulas for their center and matrix radii. Similar properties are then derived for the limiting Weyl disk. We discuss the notions of the system being in the limit point or limit circle case and prove several characterizations of the system in the limit point case and one condition for the limit circle case. We also define the Green function for the associated nonhomogeneous system and use its properties for deriving further results for the original system in the limit point or limit circle case. Our work directly generalizes the corresponding discrete time theory obtained recently by S.Clark and P.Zemánek in Applied Mathematics and Computation. In this paper we develop the Weyl-Titchmarsh theory for time scale symplectic systems. We introduce the M(lambda)-function, study its properties, construct the corresponding Weyl disk and Weyl circle, and establish their geometric structure including the formulas for their center and matrix radii. Similar properties are then derived for the limiting Weyl disk. We discuss the notions of the system being in the limit point or limit circle case and prove several characterizations of the system in the limit point case and one condition for the limit circle case. We also define the Green function for the associated nonhomogeneous system and use its properties for deriving further results for the original system in the limit point or limit circle case. Our work directly generalizes the corresponding discrete time theory obtained recently by S.Clark and P.Zemánek in Applied Mathematics and Computation. (en)
Title	Weyl-Titchmarsh theory for time scale symplectic systems on half line Weyl-Titchmarsh theory for time scale symplectic systems on half line (en)
skos:prefLabel	Weyl-Titchmarsh theory for time scale symplectic systems on half line Weyl-Titchmarsh theory for time scale symplectic systems on half line (en)
skos:notation	RIV/00216224:14310/11:00049670!RIV12-GA0-14310___
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(GC201/09/J009), S, Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	738520
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Šimon Hilscher, Roman Zemánek, Petr
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	241680
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/11:00049670
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Time scale; Time scale symplectic system; Weyl-Titchmarsh theory; M(lambda)-function; Lagrange identity; Weyl disk; Weyl circle; Limit point case; Limit circle case; Linear Hamiltonian system; Discrete symplectic system; Eigenvalue problem (en)
http://linked.open.../riv/klicoveSlovo	Limit circle case Limit point case Weyl circle Weyl disk Weyl-Titchmarsh theory Eigenvalue problem Lagrange identity M(lambda)-function Time scale Discrete symplectic system Linear Hamiltonian system Time scale symplectic system
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[489056525CC7]
http://linked.open...i/riv/nazevZdroje	Abstract and Applied Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Oscillation and spectral theory of differential and difference systems
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	2011
http://linked.open...iv/tvurceVysledku	Zemánek, Petr Šimon Hilscher, Roman
http://linked.open...ain/vavai/riv/wos	000290373700001
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
issn	1085-3375
number of pages	41 (xsd:int)
http://bibframe.org/vocab/doi	10.1155/2011/738520
http://localhost/t...ganizacniJednotka	14310

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