2 papers
math.CA2026
The Fundamental Theorem of Calculus for Lebesgue-Stieltjes integrals involving non-monotonic derivators
Lamiae Maia, F. Adrián F. Tojo
In this work, we extend the concept of the Stieltjes derivative to encompass left-continuous derivators with bounded variation, thereby relaxing the monotonicity constraint. This g…
math.CA2025
Stieltjes differential equations with bounded-variation derivators and application to thermal stress in solar panels
Lamiae Maia, F. Adrián F. Tojo
In this work we extend the theory of Stieltjes systems beyond the monotone case, establishing new chain rules, generalized versions of the Fundamental Theorem of Calculus, compactn…