3 papers
math.NA2025
Numerical solution of locally loaded Volterra integral equations
Vladislav Byankin, Aleksandr Tynda, Denis Sidorov +1
Volterra's integral equations with local and nonlocal loads represent the novel class of integral equations that have attracted considerable attention in recent years. These equati…
eess.SY2024
Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit
E. V. Chistyakova, D. N. Sidorov, A. V. Domyshev +1
This paper describes a simplified model of an electric circuit with a DC-DC converter and a PID-regulator as a system of integral differential equations with an identically singula…
math.DS2024
A note on spectral theory of integral-functional Volterra operators
Denis Sidorov
A concise overview of the spectral theory of integral-functional operators is provided. In the context of analysis, a technique is described for deriving solutions to equations inv…