On unbounded solutions for differential equations with mean curvature operator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00140803" target="_blank" >RIV/00216224:14310/25:00140803 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21136/CMJ.2023.0111-23" target="_blank" >https://doi.org/10.21136/CMJ.2023.0111-23</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/CMJ.2023.0111-23" target="_blank" >10.21136/CMJ.2023.0111-23</a>
Alternative languages
Result language
angličtina
Original language name
On unbounded solutions for differential equations with mean curvature operator
Original language description
We present necessary and sufficient conditions for the existence of unbounded increasing solutions to ordinary differential equations with mean curvature operator. The results illustrate the asymptotic proximity of such solutions with those of an auxiliary linear equation on the threshold of oscillation. A new oscillation criterion for equations with mean curvature operator, extending Leighton criterion for linear Sturm-Liouville equation, is also derived.
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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Czechoslovak Mathematical Journal
ISSN
0011-4642
e-ISSN
1572-9141
Volume of the periodical
75
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
215-234
UT code for WoS article
001100620300001
EID of the result in the Scopus database
2-s2.0-105001062052