Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F12%3APU98503" target="_blank" >RIV/00216305:26220/12:PU98503 - isvavai.cz</a>
Result on the web
<a href="http://www.hindawi.com/journals/aaa/2012/764351/" target="_blank" >http://www.hindawi.com/journals/aaa/2012/764351/</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay
Original language description
We study a frequently investigated class of linear difference equations with a positive coefficient p(n) and a single delay k. Recently, it was proved that if the function p(n) is bounded above by a certain function, then there exists a positive vanishing solution of the considered equation, and the upper bound was found. Here we improve this result by finding even the lower bound for the positive solution, supposing the function p(n) is bounded above and below by certain functions.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Difference equations and dynamic equations on time scales III</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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