Generalized chain rules and applications to Stieltjes differential and integral equations

0582031 - MÚ 2025 RIV DE eng J - Journal Article
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
Institutional support: RVO:67985840
Keywords : Bernoulli differential equation * chain rule * exponential function * power rule
OECD category: Pure mathematics
Impact factor: 2.2, year: 2022
Method of publishing: 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.
Permanent Link: https://hdl.handle.net/11104/0350154