Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00073404" target="_blank" >RIV/00216224:14310/14:00073404 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/10236198.2013.813496" target="_blank" >http://dx.doi.org/10.1080/10236198.2013.813496</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2013.813496" target="_blank" >10.1080/10236198.2013.813496</a>

Result language
angličtina
Original language name
Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter
Original language description
In this paper we develop the Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on the spectral parameter. We generalize and complete several recent results concerning these systems, which have the spectral parameter only in the second equation. Our new theory includes characterizations of the Weyl disks and Weyl circles, their limiting behavior, properties of square summable solutions including the analysis of the exact number of linearly independent square summable solutions, and limit point/circle criteria. Some illustrative examples are also provided.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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