A few remarks on Poincare-Perron solutions and regularly varying solutions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00470375" target="_blank" >RIV/67985840:_____/16:00470375 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/ms-2016-0224" target="_blank" >http://dx.doi.org/10.1515/ms-2016-0224</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2016-0224" target="_blank" >10.1515/ms-2016-0224</a>

Result language
angličtina
Original language name
A few remarks on Poincare-Perron solutions and regularly varying solutions
Original language description
We establish conditions guaranteeing the existence of (generalized) regularly varying solutions to $n$-th order linear differential and $q$-difference equations. The proofs are based mainly on classical Poincar'e's and Perron's theorems and certain transformations. In some special cases, our results reduce to the existing ones, thus actually we offer an alternative approach to some parts of the asymptotic theory of differential equations made in the framework of regular variation. For higher order cases, our statements are essentially new. Another important feature of this paper is that it reveals connections among various results and somehow revises some of them.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

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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