On decreasing solutions of second order nearly linear differential equations

Result code in 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>
Alternative codes found
RIV/00216224:14410/14:00073695
Result on the web
<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>

Result language
angličtina
Original language name
On decreasing solutions of second order nearly linear differential equations
Original language description
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.
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
—

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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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