Počet záznamů: 1
On second-order linear Stieltjes differential equations with non-constant coefficients
- 1.0587133 - MÚ 2025 RIV DE eng J - Článek v odborném periodiku
Márquez Albés, Ignacio - Fernández, F. J. - Tojo, F.
On second-order linear Stieltjes differential equations with non-constant coefficients.
Open Mathematics. Roč. 22, č. 1 (2024), č. článku 20240018. ISSN 2391-5455. E-ISSN 2391-5455
Institucionální podpora: RVO:67985840
Klíčová slova: Stieltjes derivative * second-order * uniqueness * Helmholtz equation
Obor OECD: Pure mathematics
Impakt faktor: 1.7, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1515/math-2024-0018
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.
Trvalý link: https://hdl.handle.net/11104/0354408
Název souboru Staženo Velikost Komentář Verze Přístup Marquez_Albes1.pdf 0 4.2 MB Vydavatelský postprint povolen
Počet záznamů: 1