A general form of Gronwall inequality with Stieltjes integrals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00588516" target="_blank" >RIV/67985840:_____/25:00588516 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10509238
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2024.128674" target="_blank" >https://doi.org/10.1016/j.jmaa.2024.128674</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2024.128674" target="_blank" >10.1016/j.jmaa.2024.128674</a>
Alternative languages
Result language
angličtina
Original language name
A general form of Gronwall inequality with Stieltjes integrals
Original language description
We present a new Gronwall inequality for Stieltjes integrals, which improves numerous existing results, and has a simple proof based on the quotient rule for Stieltjes integrals. As an application, we obtain uniqueness theorems for measure differential equations and nabla dynamic equations. Finally, we revisit the topic from the perspective of Stieltjes derivatives.
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
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
1096-0813
Volume of the periodical
541
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
128674
UT code for WoS article
001277848800001
EID of the result in the Scopus database
2-s2.0-85199035499