Detail publikace

General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions

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

1

Strany do

37

Strany počet

37

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 {Halfarová}",
  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/"
}