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Description
  • 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.
  • 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. (en)
Title
  • General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
  • General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions (en)
skos:prefLabel
  • General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
  • General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions (en)
skos:notation
  • RIV/00216305:26110/14:PU109114!RIV15-MSM-26110___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP201/10/1032), S
http://linked.open...iv/cisloPeriodika
  • 2013
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 18021
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26110/14:PU109114
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Discrete equation, weakly delayd systems, explicit solution, dimension of the solutions space. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • FK - Falklandské ostrovy
http://linked.open...ontrolniKodProRIV
  • [B672158EBE52]
http://linked.open...i/riv/nazevZdroje
  • Abstract and Applied Analysis
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2013
http://linked.open...iv/tvurceVysledku
  • Diblík, Josef
  • Halfarová, Hana
issn
  • 1085-3375
number of pages
http://bibframe.org/vocab/doi
  • 10.1155/2014/627295
http://localhost/t...ganizacniJednotka
  • 26110
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