Notes on the existence and uniqueness of solutions of Stieltjes differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00541719" target="_blank" >RIV/67985840:_____/21:00541719 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mana.201900138" target="_blank" >https://doi.org/10.1002/mana.201900138</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201900138" target="_blank" >10.1002/mana.201900138</a>

Result language
angličtina
Original language name
Notes on the existence and uniqueness of solutions of Stieltjes differential equations
Original language description
We study some classical uniqueness and existence results, such as Peano's or Osgood's uniqueness criteria, in the context of Stieltjes differential equations. This type of equation is based on derivatives with respect to monotone functions, and enables the investigation of discrete and continuous problems from a common standpoint. We compare our results with previous work on the topic and illustrate the advantages of the theorems presented in this paper with an example. Finally, we make some remarks regarding analogous uniqueness results which can be derived for measure differential equations.
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
10101 - Pure mathematics

Project
<a href="/en/project/GA20-14736S" target="_blank" >GA20-14736S: Hysteresis modeling in mathematical engineering</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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