Half-linear differential equations: Regular variation, principal solutions, and asymptotic classes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU147857" target="_blank" >RIV/00216305:26210/23:PU147857 - isvavai.cz</a>
Result on the web
<a href="https://www.math.u-szeged.hu/ejqtde/p9954.pdf" target="_blank" >https://www.math.u-szeged.hu/ejqtde/p9954.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14232/ejqtde.2023.1.1" target="_blank" >10.14232/ejqtde.2023.1.1</a>
Alternative languages
Result language
angličtina
Original language name
Half-linear differential equations: Regular variation, principal solutions, and asymptotic classes
Original language description
We are interested in the structure of the solution space of second-order half-linear differential equations taking into account various classifications regarding asymptotics of solutions. We focus on an exhaustive analysis of the relations among several types of classes which include the classes constructed with respect to the values of the limits of solutions and their quasiderivatives, the classes of regularly varying solutions, the classes of principal and nonprincipal solutions, and the classes of the so-lutions that obey certain asymptotic formulae. Many of our observations are new even in the case of linear differential equations, and we provide also the revision of existing results.
Czech name
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Czech description
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Classification
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
Result continuities
Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Qualitative Theory of Differential Equations
ISSN
1417-3875
e-ISSN
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Volume of the periodical
2023
Issue of the periodical within the volume
1
Country of publishing house
HU - HUNGARY
Number of pages
28
Pages from-to
1-28
UT code for WoS article
000925388800001
EID of the result in the Scopus database
2-s2.0-85146930511