Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F22%3APU143173" target="_blank" >RIV/00216305:26110/22:PU143173 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0096300321006196?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0096300321006196?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2021.126533" target="_blank" >10.1016/j.amc.2021.126533</a>
Alternative languages
Result language
angličtina
Original language name
Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations
Original language description
Investigation of the asymptotic properties of solutions to systems of discrete equations is a topic of permanent interest. Numerous papers analyze the so-called prescribed behaviour of solutions giving sufficient conditions for the existence of at least one solution having a given asymptotic behaviour. To a smaller extent the problem is considered of determining the initial data generating such solutions. The present paper finds its niche being concerned with the case of a triangular system of linear discrete equations. The existence of solutions with a prescribed asymptotic behaviour is proved and algorithms suggested for computing stepwise the initial data defining such solutions and eventually suggesting these. Illustrative examples (supported with a MATLAB program) are considered and some open problems are formulated as well.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
APPLIED MATHEMATICS AND COMPUTATION
ISSN
0096-3003
e-ISSN
1873-5649
Volume of the periodical
425
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
„126533-1“-„126533-18“
UT code for WoS article
000821461800004
EID of the result in the Scopus database
2-s2.0-85111514649