Asymptotic formulae for solutions of half-linear differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00461884" target="_blank" >RIV/67985840:_____/17:00461884 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2016.07.020" target="_blank" >http://dx.doi.org/10.1016/j.amc.2016.07.020</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2016.07.020" target="_blank" >10.1016/j.amc.2016.07.020</a>

Result language
angličtina
Original language name
Asymptotic formulae for solutions of half-linear differential equations
Original language description
We establish asymptotic formulae for regularly varying solutions of the half-linear differential equation ..., where r, p are positive continuous functions on ... and ... The results can be understood in several ways: Some open problems posed in the literature are solved. Results for linear differential equations are generalized: some of the observations are new even in the linear case. A refinement on information about behavior of solutions in standard asymptotic classes is provided. A precise description of regularly varying solutions which are known to exist is given. Regular variation of all positive solutions is proved.
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
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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