1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution
Samad Noeiaghdam, Aliona I. Dreglea, Denis N. Sidorov
This study aims to discuss the existence and uniqueness of solution of fuzzy Volterra integral equation with piecewise continuous kernel. Such problems appears in many balance prob…
Volterra black-box models identification methods: direct collocation vs least squares
Denis Sidorov, Aleksandr Tynda, Vladislav Muratov +1
The Volterra integral-functional series is the classic approach for nonlinear black box dynamical systems modeling. It is widely employed in many domains including radiophysics, ae…
Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind
A. Tynda, S. Noeiaghdam, D. Sidorov
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrat…