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DIBLÍK, J. KHUSAINOV, D. ŠMARDA, Z.
Originální název
Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay
Typ
článek v časopise - ostatní, Jost
Jazyk
angličtina
Originální abstrakt
Planar linear discrete systems with constant coefficients and weak delay are considered. The characteristic equations of such systems are identical with those for the same systems but without delayed terms. In this case, the space of solutions with a given starting dimension is pasted after several steps into a space with dimension less than the starting one. In a sense this situation copies an analogous one known from the theory of linear differential systems with constant coefficients and weak delay when the initially infinite dimensional space of solutions on the initial interval on a reduced interval, turns, after several steps, into a finite dimensional set of solutions. For every possible case, general solutions are constructed and, finally, results on the dimensionality of the space of solutions are deduced.
Klíčová slova
planar linear discrete system
Autoři
DIBLÍK, J.; KHUSAINOV, D.; ŠMARDA, Z.
Rok RIV
2009
Vydáno
27. 11. 2009
ISSN
1687-1839
Periodikum
Advances in Difference Equations
Ročník
Číslo
3
Stát
Spojené státy americké
Strany od
1
Strany do
18
Strany počet
BibTex
@article{BUT48938, author="Josef {Diblík} and Denys {Khusainov} and Zdeněk {Šmarda}", title="Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay", journal="Advances in Difference Equations", year="2009", volume="2009", number="3", pages="1--18", issn="1687-1839" }