Explicit stability conditions for a linear trinomial delay difference equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F15%3APU111400" target="_blank" >RIV/00216305:26210/15:PU111400 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aml.2014.11.014" target="_blank" >http://dx.doi.org/10.1016/j.aml.2014.11.014</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2014.11.014" target="_blank" >10.1016/j.aml.2014.11.014</a>
Alternative languages
Result language
angličtina
Original language name
Explicit stability conditions for a linear trinomial delay difference equation
Original language description
The paper presents a new type of necessary and sufficient conditions for the asymptotic stability of the zero solution of the linear trinomial difference equation with two delays. Compared to the existing criteria, our conditions are fully explicit and simple to analyse. In particular, we show the usefulness of these conditions in the description of appropriate stability sets for the studied difference equation with fixed delays as well as with fixed coefficients. As a by-product, we obtain an explicit criterion guaranteeing that all the zeros of the general three-term polynomial are located inside the unit circle in the complex plane.
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
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
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 LETTERS
ISSN
0893-9659
e-ISSN
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Volume of the periodical
43
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
5
Pages from-to
56-60
UT code for WoS article
000350085500010
EID of the result in the Scopus database
2-s2.0-84919706913