Weyl-Titchmarsh theory for time scale symplectic systems on half line
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00049670" target="_blank" >RIV/00216224:14310/11:00049670 - isvavai.cz</a>
Result on the web
<a href="http://www.hindawi.com/journals/aaa/differential.difference.equations/" target="_blank" >http://www.hindawi.com/journals/aaa/differential.difference.equations/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2011/738520" target="_blank" >10.1155/2011/738520</a>
Alternative languages
Result language
angličtina
Original language name
Weyl-Titchmarsh theory for time scale symplectic systems on half line
Original language 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 theformulas 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 limitpoint 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.
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
<a href="/en/project/GC201%2F09%2FJ009" target="_blank" >GC201/09/J009: Oscillation and spectral theory of differential and difference systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Abstract and Applied Analysis
ISSN
1085-3375
e-ISSN
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Volume of the periodical
2011
Issue of the periodical within the volume
738520
Country of publishing house
US - UNITED STATES
Number of pages
41
Pages from-to
1-41
UT code for WoS article
000290373700001
EID of the result in the Scopus database
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