NEW CONDITIONS FOR EXISTENCE OF THE SOLUTION TO THE DISCRETE EMDEN-FOWLER TYPE EQUATION WITH POWER ASYMPTOTICS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU144801" target="_blank" >RIV/00216305:26220/22:PU144801 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
NEW CONDITIONS FOR EXISTENCE OF THE SOLUTION TO THE DISCRETE EMDEN-FOWLER TYPE EQUATION WITH POWER ASYMPTOTICS
Original language description
In the paper, we continue research on the existence of solutions with power-type asymptotics to the following discrete Emden-Fowler type equation $$Delta^2 u(k)= k^alpha u^m(k) = 0;$$ where $k ge k_0$, k is an independent variable, $k_0$ is a fixed integer, $u: {k_0; k_0 + 1; ...} to mathbb{R}$, $Delta u(k)$, $Delta^2u(k)$ are the first and second-order differences of $u(k)$ respectively and $m$ and $alpha$ are real numbers. As a result, the present paper gives new conditions for the values $m$ and $alpha$ guaranteeing the existence of solutions with power-type asymptotics. The results are compared with those previously known and visualized in the $(m; alpha)$-plane.
Czech name
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Czech description
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Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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