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DIBLÍK, J. HALFAROVÁ, H.
Originální název
General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Discrete equation, weakly delayd systems, explicit solution, dimension of the solutions space.
Autoři
DIBLÍK, J.; HALFAROVÁ, H.
Rok RIV
2014
Vydáno
29. 4. 2014
Nakladatel
Hindawi
ISSN
1085-3375
Periodikum
Abstract and Applied Analysis
Ročník
2013
Číslo
1
Stát
Spojené státy americké
Strany od
Strany do
37
Strany počet
URL
https://www.hindawi.com/journals/aaa/2014/627295/
Plný text v Digitální knihovně
http://hdl.handle.net/11012/193103
BibTex
@article{BUT107603, author="Josef {Diblík} and Hana {Boháčková}", title="General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions", journal="Abstract and Applied Analysis", year="2014", volume="2013", number="1", pages="1--37", doi="10.1155/2014/627295", issn="1085-3375", url="https://www.hindawi.com/journals/aaa/2014/627295/" }