General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F14%3APU109114" target="_blank" >RIV/00216305:26110/14:PU109114 - isvavai.cz</a>
Result on the web
<a href="http://www.hindawi.com/journals/aaa/2014/627295/" target="_blank" >http://www.hindawi.com/journals/aaa/2014/627295/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2014/627295" target="_blank" >10.1155/2014/627295</a>
Alternative languages
Result language
angličtina
Original language name
General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
Original language description
Planar linear discrete systems with constant coefficients and delays are considered. It is assumed that the considered system is weakly delayed. The characteristic equations of such systems are identical with those for the same systems but without delayed terms. In this case, after several steps, the space of solutions with a given starting dimension is pasted into a space with a dimension less than the starting one. In a sense, this situation is analogous to one known in the theory of linear differential systems with constant coefficients and special delays when the initially infinite dimensional space of solutions on the initial interval turns (after several steps) into a finite dimensional set of solutions. For every possible case, explicit general solutions are constructed and, finally, results on the dimensionality of the space of solutions are obtained.
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
—
OECD FORD branch
10101 - Pure mathematics
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
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Abstract and Applied Analysis
ISSN
1085-3375
e-ISSN
1687-0409
Volume of the periodical
2013
Issue of the periodical within the volume
2013
Country of publishing house
US - UNITED STATES
Number of pages
37
Pages from-to
1-37
UT code for WoS article
000335783700001
EID of the result in the Scopus database
2-s2.0-84901008614