POWER ASYMPTOTICS OF SOLUTIONS TO THE DISCRETE EMDEN-FOWLER TYPE EQUATION

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F21%3APU141990" target="_blank" >RIV/00216305:26220/21:PU141990 - isvavai.cz</a>
Result on the web
<a href="https://mitav.unob.cz" target="_blank" >https://mitav.unob.cz</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
POWER ASYMPTOTICS OF SOLUTIONS TO THE DISCRETE EMDEN-FOWLER TYPE EQUATION
Original language description
In the paper, the discrete Emden-Fowler equation $$Delta62 u(k) pm k^alpha u^m (k) = 0$$ is considered, where $k ge k_0$, $k$ is an independent variable, $k_0$ is a fixed integer,$u: {k_0,k_0 + 1,...} to mathbb{R}$, $Delta u(k)$ is the first difference of $u(k)$, $Delta^2u(k)$ is the second difference of $u(k)$, $m$ and $alpha$ are real numbers. A result on asymptotic behaviour of solutions when $k to infty$ is proved and admissible values $m$ and $alpha$ satisfying assumptions of this result are considered in an $(m,alpha)$-plane.
Czech name
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Czech description
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Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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