Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107674" target="_blank" >RIV/00216224:14310/19:00107674 - isvavai.cz</a>
Result on the web
<a href="https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2137-0" target="_blank" >https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2137-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/s13660-019-2137-0" target="_blank" >10.1186/s13660-019-2137-0</a>
Alternative languages
Result language
angličtina
Original language name
Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case
Original language description
This paper is devoted to the analysis of the oscillatory behavior of Euler type linear and half-linear differential equations. We focus on the so-called conditional oscillation, where there exists a borderline between oscillatory and non-oscillatory equations. The most complicated problem involved in the theory of conditionally oscillatory equations is to decide whether the equations from the given class are oscillatory or non-oscillatory in the threshold case. In this paper, we answer this question via a combination of the Riccati and Prüfer technique. Note that the obtained non-oscillation of the studied equations is important in solving boundary value problems on non-compact intervals and that the obtained results are new even in the linear case.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotic theory of ordinary and fractional differential equations and their numerical discretizations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Inequalities and Applications
ISSN
1029-242X
e-ISSN
1029-242X
Volume of the periodical
2019
Issue of the periodical within the volume
189
Country of publishing house
GB - UNITED KINGDOM
Number of pages
30
Pages from-to
1-30
UT code for WoS article
000475581400002
EID of the result in the Scopus database
2-s2.0-85068743558