Recessive solutions for nonoscillatory 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%2F15%3A00080614" target="_blank" >RIV/00216224:14310/15:00080614 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2014.11.029" target="_blank" >http://dx.doi.org/10.1016/j.laa.2014.11.029</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2014.11.029" target="_blank" >10.1016/j.laa.2014.11.029</a>
Alternative languages
Result language
angličtina
Original language name
Recessive solutions for nonoscillatory discrete symplectic systems
Original language description
In this paper we introduce a new concept of a recessive solution for discrete symplectic systems, which does not require any eventual controllability assumption. We prove that the existence of a recessive solution is equivalent with the nonoscillation ofthe system and that recessive solutions can have any rank between explicitly given lower and upper bounds. The smallest rank corresponds to the minimal recessive solution, which is unique up to a right nonsingular multiple, while the largest rank yieldsthe traditional maximal recessive solution. We also present a method for constructing some (but not all) recessive solutions having a block diagonal structure from systems in lower dimension. Our results are new even for special discrete symplectic systems, such as for even order Sturm--Liouville difference equations and linear Hamiltonian difference systems.
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)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
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
469
Issue of the periodical within the volume
March
Country of publishing house
US - UNITED STATES
Number of pages
33
Pages from-to
243-275
UT code for WoS article
000348883600012
EID of the result in the Scopus database
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