Limit point and limit circle classification for symplectic systems on time scales
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00073443" target="_blank" >RIV/00216224:14310/14:00073443 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2013.12.135" target="_blank" >http://dx.doi.org/10.1016/j.amc.2013.12.135</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2013.12.135" target="_blank" >10.1016/j.amc.2013.12.135</a>
Alternative languages
Result language
angličtina
Original language name
Limit point and limit circle classification for symplectic systems on time scales
Original language description
In this paper we study the limit point and limit circle classification for symplectic systems on time scales, which depend linearly on the spectral parameter. In a broader context, we develop a unified Weyl-Titchmarsh theory for continuous and discrete linear Hamiltonian and symplectic systems. Both separated and coupled boundary conditions are allowed. Our results include the study of the Weyl disks and circles and their limiting behavior, as well as a precise analysis of the number of linearly independent square integrable solutions. We also prove an analogue of the famous Weyl alternative. We connect and unify many known results in the Weyl-Titchmarsh theory for continuous, discrete, and special time scales systems and explain the differences between them. Some of our statements, in particular those connected with coupled endpoints or the Weyl alternative, are new even in the continuous time setting.
Czech name
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Czech description
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Classification
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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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
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
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Volume of the periodical
233
Issue of the periodical within the volume
MAY
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
623-646
UT code for WoS article
000337288900059
EID of the result in the Scopus database
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