Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00101091" target="_blank" >RIV/00216224:14310/18:00101091 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2018.08.013" target="_blank" >http://dx.doi.org/10.1016/j.laa.2018.08.013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2018.08.013" target="_blank" >10.1016/j.laa.2018.08.013</a>
Alternative languages
Result language
angličtina
Original language name
Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter
Original language description
In this paper we establish new oscillation theorems for discrete symplectic eigenvalue problems with general boundary conditions. We suppose that the symplectic coefficient matrix of the system and the boundary conditions are nonlinear functions of the spectral parameter and that they satisfy certain natural monotonicity assumptions. In our new theory we admit possible oscillations in the coefficients of the symplectic system and the boundary conditions by incorporating their nonconstant rank with respect to the spectral parameter. We also prove necessary and sufficient conditions for boundedness of the real part of spectrum of these eigenvalue problems.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA16-00611S" target="_blank" >GA16-00611S: Hamiltonian and symplectic systems: oscillation and spectral theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Linear Algebra and Its Applications
ISSN
0024-3795
e-ISSN
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Volume of the periodical
558
Issue of the periodical within the volume
1 December 2018
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
38
Pages from-to
108-145
UT code for WoS article
000447075900008
EID of the result in the Scopus database
2-s2.0-85051777398