Eigenvalue theory for time scale symplectic systems 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%2F12%3A00057514" target="_blank" >RIV/00216224:14310/12:00057514 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2012.08.026" target="_blank" >http://dx.doi.org/10.1016/j.amc.2012.08.026</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2012.08.026" target="_blank" >10.1016/j.amc.2012.08.026</a>
Alternative languages
Result language
angličtina
Original language name
Eigenvalue theory for time scale symplectic systems depending nonlinearly on spectral parameter
Original language description
In this paper we develop the eigenvalue theory for general time scale symplectic systems, in which the dependence on the spectral parameter lambda is allowed to be nonlinear. At the same time we do not impose any controllability or strict normality assumptions. We prove the oscillation theorems for eigenvalue problems with Dirichlet, separated, and jointly varying endpoints, including the periodic boundary conditions. We also allow the boundary conditions depending on the spectral parameter. Our new theory generalizes and unifies recently published results on continuous-time linear Hamiltonian systems and discrete symplectic systems with nonlinear dependence on lambda and on time scale symplectic systems with linear dependence on lambda. The results ofthis paper are also new in the special case of linear Hamiltonian systems with variable endpoints, as well as for Sturm-Liouville dynamic equations.
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/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Difference equations and dynamic equations on time scales III</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
219
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
22
Pages from-to
2839-2860
UT code for WoS article
000310649900003
EID of the result in the Scopus database
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