Rayleigh principle for time scale symplectic systems and applications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00050087" target="_blank" >RIV/00216224:14310/11:00050087 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Rayleigh principle for time scale symplectic systems and applications
Original language description
In this paper we establish the Rayleigh principle, i.e., the variational characterization of the eigenvalues, for a general eigenvalue problem consisting of a time scale symplectic system and the Dirichlet boundary conditions. No normality or controllability assumption is imposed on the system. Applications of this result include the Sturmian comparison and separation theorems for time scale symplectic systems. This paper generalizes and unifies the corresponding results obtained recently for the discrete symplectic systems and continuous time linear Hamiltonian systems. The results are also new and particularly interesting for the case when the considered time scale is ``special'', that is, consisting of a union of finitely many disjoint compact realintervals and/or finitely many isolated points.
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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
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
Electronic Journal of Qualitative Theory of Differential Equations
ISSN
1417-3875
e-ISSN
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Volume of the periodical
2011
Issue of the periodical within the volume
83
Country of publishing house
HU - HUNGARY
Number of pages
26
Pages from-to
1-26
UT code for WoS article
000296886200001
EID of the result in the Scopus database
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