About: Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper we develop the spectral theory for discrete symplectic systems with general jointly varying endpoints. This theory includes a characterization of the eigenvalues, construction of the M-lambda function and Weyl disks, their matrix radii and centers, statements about the number of square summable solutions, and limit point or limit circle analysis. These results are new even in some particular cases, such as for the periodic and antiperiodic endpoints, or for discrete symplectic systems with special linear dependence on the spectral parameter. The method utilizes a new transformation to separated endpoints, which is simpler and more transparent than the one in the known literature. In this paper we develop the spectral theory for discrete symplectic systems with general jointly varying endpoints. This theory includes a characterization of the eigenvalues, construction of the M-lambda function and Weyl disks, their matrix radii and centers, statements about the number of square summable solutions, and limit point or limit circle analysis. These results are new even in some particular cases, such as for the periodic and antiperiodic endpoints, or for discrete symplectic systems with special linear dependence on the spectral parameter. The method utilizes a new transformation to separated endpoints, which is simpler and more transparent than the one in the known literature. (en)
Title	Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints (en)
skos:prefLabel	Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints (en)
skos:notation	RIV/00216224:14310/13:00066248!RIV14-MSM-14310___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(EE2.3.30.0009), P(GAP201/10/1032)
http://linked.open...iv/cisloPeriodika	232
http://linked.open...vai/riv/dodaniDat	2014
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	117265
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/13:00066248
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Discrete symplectic system; Eigenvalue; Weyl-Titchmarsh theory; M-lambda function; Square summable solution; Jointly varying endpoints; Periodic endpoints (en)
http://linked.open.../riv/klicoveSlovo	Weyl-Titchmarsh theory Jointly varying endpoints M-lambda function Periodic endpoints Square summable solution Eigenvalue Discrete symplectic system
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[1BAFB9045611]
http://linked.open...i/riv/nazevZdroje	Advances in Difference Equations
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	Difference equations and dynamic equations on time scales III Employment of Newly Graduated Doctors of Science for Scientific Excellence
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	2013
http://linked.open...iv/tvurceVysledku	Zemánek, Petr Šimon Hilscher, Roman
http://linked.open...ain/vavai/riv/wos	000324372800002
issn	1687-1847
number of pages	18 (xsd:int)
http://bibframe.org/vocab/doi	10.1186/1687-1847-2013-232
http://localhost/t...ganizacniJednotka	14310

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