De Haan type increasing solutions of half-linear differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00429354" target="_blank" >RIV/67985840:_____/14:00429354 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14410/14:00073458
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2013.10.048" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2013.10.048</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2013.10.048" target="_blank" >10.1016/j.jmaa.2013.10.048</a>

Result language
angličtina
Original language name
De Haan type increasing solutions of half-linear differential equations
Original language description
We study asymptotic behavior of eventually positive increasing solutions to the half-linear equation $(r(t)|y'|^{alpha-1}sgn y')'=p(t)|y|^{alpha-1}sgn y$, where $r,p$ are positive continuous functions and $alphain(1,infty)$. We give conditions which guarantee that any such a solution is in the class $Gamma$ (in the de Haan sense). We also discuss regularly varying solutions and connections with a generalized regular variation and other related concepts. The results can be viewed as a half-linear extension of existing statements for linear equations, but in some aspects they are new also in the linear case.
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
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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