Publication result detail

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

DIBLÍK, J.; KHUSAINOV, D.; ŠMARDA, Z.

Original Title

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

English Title

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

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

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.

English abstract

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.

Keywords

planar linear discrete system

Key words in English

planar linear discrete system

Authors

DIBLÍK, J.; KHUSAINOV, D.; ŠMARDA, Z.

RIV year

2010

Released

27.11.2009

ISBN

1687-1839

Periodical

Advances in Difference Equations

Volume

2009

Number

3

State

United States of America

Pages from

1

Pages to

18

Pages count

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"
}