Methods in half-linear asymptotic theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00463600" target="_blank" >RIV/67985840:_____/16:00463600 - 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
Methods in half-linear asymptotic theory
Original language description
We study asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation $(r(t)|y'|^{alpha-1}sgn y')'=p(t)|y|^{alpha-1}sgn y$, where $r(t)$ and $p(t)$ are positive continuous functions on $[a,infty)$, $alphain(1,infty)$. The aim of this paper is twofold. On the one hand, we show applications of a wide variety of tools, like the Karamata theory of regular variation, the de Haan theory, the Riccati technique, comparison theorems, the reciprocity principle, a certain transformation of dependent variable, and principal solutions. On the other hand, we solve open problems posed in the literature and generalize existing results. The most of our observations is 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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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