Dominant and recessive solutions at infinity and genera of conjoined bases for discrete symplectic systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00094576" target="_blank" >RIV/00216224:14310/17:00094576 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/10236198.2016.1270274" target="_blank" >http://dx.doi.org/10.1080/10236198.2016.1270274</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10236198.2016.1270274" target="_blank" >10.1080/10236198.2016.1270274</a>
Alternative languages
Result language
angličtina
Original language name
Dominant and recessive solutions at infinity and genera of conjoined bases for discrete symplectic systems
Original language description
In this paper we introduce the theory of dominant solutions at infinity for nonoscillatory discrete symplectic systems without any controllability assumption. Such solutions represent an opposite concept to recessive solutions at infinity, which were recently developed for such systems by the authors. Our main results include: (i) the existence of dominant solutions at infinity for all ranks in a given range depending on the order of abnormality of the system, (ii) construction of dominant solutions at infinity with eventually the same image, (iii) classification of dominant and recessive solutions at infinity with eventually the same image, (iv) limit characterization of recessive solutions at infinity in terms of dominant solutions at infinity and vice versa, and (v) Reid's construction of the minimal recessive solution at infinity. These results are based on a new theory of genera of conjoined bases for symplectic systems developed for this purpose in this paper.
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
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
42
Pages from-to
657-698
UT code for WoS article
000406288900001
EID of the result in the Scopus database
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