Generalized Lagrange identity for discrete symplectic systems and applications in Weyl-Titchmarsh theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00073559" target="_blank" >RIV/00216224:14310/14:00073559 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-662-44140-4_10" target="_blank" >http://dx.doi.org/10.1007/978-3-662-44140-4_10</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-662-44140-4_10" target="_blank" >10.1007/978-3-662-44140-4_10</a>
Alternative languages
Result language
angličtina
Original language name
Generalized Lagrange identity for discrete symplectic systems and applications in Weyl-Titchmarsh theory
Original language description
In this paper we consider discrete symplectic systems with analytic dependence on the spectral parameter. We derive the Lagrange identity, which plays a fundamental role in the spectral theory of discrete symplectic and Hamiltonian systems. We compare itto several special cases well known in the literature. We also examine the applications of this identity in the theory of Weyl disks and square summable solutions for such systems. As an example we show that a symplectic system with the exponential coefficient matrix is in the limit point case.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
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)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Theory and Applications of Difference Equations and Discrete Dynamical Systems
ISBN
9783662441398
ISSN
2194-1009
e-ISSN
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Number of pages
16
Pages from-to
187-202
Publisher name
Springer
Place of publication
Berlin
Event location
Muscat, Omán
Event date
Jan 1, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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