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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F14%3APU109114" target="_blank" >RIV/00216305:26110/14:PU109114 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.hindawi.com/journals/aaa/2014/627295/" target="_blank" >http://www.hindawi.com/journals/aaa/2014/627295/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1155/2014/627295" target="_blank" >10.1155/2014/627295</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Diferenční rovnice a dynamické rovnice na ,,time scales'' III</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Abstract and Applied Analysis

ISSN

1085-3375

e-ISSN

1687-0409

Svazek periodika

2013

Číslo periodika v rámci svazku

2013

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

37

Strana od-do

1-37

Kód UT WoS článku

000335783700001

EID výsledku v databázi Scopus

2-s2.0-84901008614