Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00094949" target="_blank" >RIV/00216224:14310/17:00094949 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/10236198.2017.1326912" target="_blank" >http://dx.doi.org/10.1080/10236198.2017.1326912</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2017.1326912" target="_blank" >10.1080/10236198.2017.1326912</a>
Alternative languages
Result language
angličtina
Original language name
Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups
Original language description
We analyse the solution spaces of limit periodic homogeneous linear difference systems, where the coefficient matrices of the considered systems are taken from a commutative group which does not need to be bounded. In particular, we study such systems whose fundamental matrices are not asymptotically almost periodic or which have solutions vanishing at infinity. We identify a simple condition on the matrix group which guarantees that the studied systems form a dense subset in the space of all considered systems. The obtained results improve previously known theorems about non-almost periodic and non-asymptotically almost periodic solutions. Note that the elements of the coefficient matrices are taken from an infinite field with an absolute value and that the corresponding almost periodic case is treated as well.
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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Difference Equations and Applications
ISSN
1023-6198
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
8
Country of publishing house
GB - UNITED KINGDOM
Number of pages
30
Pages from-to
1324-1353
UT code for WoS article
000417340300002
EID of the result in the Scopus database
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