Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00059256" target="_blank" >RIV/00216224:14310/12:00059256 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2012.01.056" target="_blank" >http://dx.doi.org/10.1016/j.amc.2012.01.056</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2012.01.056" target="_blank" >10.1016/j.amc.2012.01.056</a>
Alternative languages
Result language
angličtina
Original language name
Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions
Original language description
The aim of this paper is to establish the oscillation theorems, Rayleigh principle, and coercivity results for linear Hamiltonian and symplectic systems with general boundary conditions, i.e., for the case of separated and jointly varying endpoints, andwith no controllability (normality) and strong observability assumptions. Our method is to consider the time interval as a time scale and apply suitable time scales techniques to reduce the problem with separated endpoints into a problem with Dirichlet boundary conditions, and the problem with jointly varying endpoints into a problem with separated endpoints. These more general results on time scales then provide new results for the continuous time linear Hamiltonian systems as well as for the discretesymplectic systems. This paper also solves an open problem of deriving the oscillation theorem for problems with periodic boundary conditions.
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/ME%20891" target="_blank" >ME 891: Second order optimality conditions for optimization problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2012
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
218
Issue of the periodical within the volume
17
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
8309-8328
UT code for WoS article
000302769100009
EID of the result in the Scopus database
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