On decreasing solutions of second order nearly linear differential equations

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00429228" target="_blank" >RIV/67985840:_____/14:00429228 - isvavai.cz</a>
Nalezeny alternativní kódy
RIV/00216224:14410/14:00073695
Výsledek na webu
<a href="http://dx.doi.org/10.1186/1687-2770-2014-62" target="_blank" >http://dx.doi.org/10.1186/1687-2770-2014-62</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-2770-2014-62" target="_blank" >10.1186/1687-2770-2014-62</a>

Jazyk výsledku
angličtina
Název v původním jazyce
On decreasing solutions of second order nearly linear differential equations
Popis výsledku v původním jazyce
We consider the nonlinear equation $ (r(t)G(y'))'=p(t)F(y), $ where $r,p$ are positive continuous functions and $F(|cdot|),G(|cdot|)$ are continuous functions which are both regularly varying at zero of index one. Existence and asymptotic behavior of decreasing slowly varying solutions are studied. Our observations can be understood at least in two ways. As a nonlinear extension of results for linear equations. As an analysis of the border case (''between sub-linearity and super-linearity'') for a certain generalization of Emden-Fowler type equation.
Název v anglickém jazyce
On decreasing solutions of second order nearly linear differential equations
Popis výsledku anglicky
We consider the nonlinear equation $ (r(t)G(y'))'=p(t)F(y), $ where $r,p$ are positive continuous functions and $F(|cdot|),G(|cdot|)$ are continuous functions which are both regularly varying at zero of index one. Existence and asymptotic behavior of decreasing slowly varying solutions are studied. Our observations can be understood at least in two ways. As a nonlinear extension of results for linear equations. As an analysis of the border case (''between sub-linearity and super-linearity'') for a certain generalization of Emden-Fowler type equation.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
—

Projekt
<a href="/cs/project/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Diferenční rovnice a dynamické rovnice na ,,time scales'' III</a><br>
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2014
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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