Generalized chain rules and applications to Stieltjes differential and integral equations

0582031 - MÚ 2025 RIV DE eng J - Článek v odborném periodiku
Márquez Albés, Ignacio - Slavík, A.
Generalized chain rules and applications to Stieltjes differential and integral equations.
Results in Mathematics. Roč. 79, č. 2 (2024), č. článku 78. ISSN 1422-6383. E-ISSN 1420-9012
Institucionální podpora: RVO:67985840
Klíčová slova: Bernoulli differential equation * chain rule * exponential function * power rule
Obor OECD: Pure mathematics
Impakt faktor: 2.2, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1007/s00025-023-02104-0

We present new generalizations of the chain rule, which involve Stieltjes derivatives and integrals. The results are subsequently used to obtain the power rules for two generalizations of the exponential function, and to investigate Bernoulli-type equations with Stieltjes derivatives and integrals.
Trvalý link: https://hdl.handle.net/11104/0350154