On second-order linear Stieltjes differential equations with non-constant coefficients
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00587133" target="_blank" >RIV/67985840:_____/24:00587133 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1515/math-2024-0018" target="_blank" >https://doi.org/10.1515/math-2024-0018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/math-2024-0018" target="_blank" >10.1515/math-2024-0018</a>
Alternative languages
Result language
angličtina
Original language name
On second-order linear Stieltjes differential equations with non-constant coefficients
Original language description
In this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative. Later, we use these tools to investigate second-order linear differential equations with Stieltjes derivatives to find linearly independent solutions, as well as to derive the variation of parameters method for problems with g-continuous coefficients. This theory is later illustrated with some examples such as the study of the onedimensional linear Helmholtz equation with piecewise-constant coefficients.
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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Open Mathematics
ISSN
2391-5455
e-ISSN
2391-5455
Volume of the periodical
22
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
34
Pages from-to
20240018
UT code for WoS article
001249861000001
EID of the result in the Scopus database
2-s2.0-85210617647