Detail publikačního výsledku

Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay

DIBLÍK, J.; KHUSAINOV, D.; ŠMARDA, Z.

Originální název

Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay

Anglický název

Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay

Druh

Článek recenzovaný mimo WoS a Scopus

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.

Anglický 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

Klíčová slova v angličtině

planar linear discrete system

Autoři

DIBLÍK, J.; KHUSAINOV, D.; ŠMARDA, Z.

Rok RIV

2010

Vydáno

27.11.2009

ISSN

1687-1839

Periodikum

Advances in Difference Equations

Svazek

2009

Číslo

3

Stát

Spojené státy americké

Strany od

1

Strany do

18

Strany počet

18

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"
}