81 citations · 105 across the 11 of their papers we have counts for
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Skeleton decomposition of linear operators in the theory of degenerate differential equations
N. Sidorov, D. Sidorov, Y. Li
We suggest method based on the skeleton decomposition of linear operators in order to reduce ill-posed degenerate differential equations to the non-classic initial-value problem en…
Numerical solution of Volterra integral equations of the first kind with discontinuous kernels
Ildar Muftahov, Aleksandr Tynda, Denis Sidorov
We propose the numerical methods for solution of the weakly regular linear and nonlinear evolutionary (Volterra) integral equation of the first kind. The kernels of such equations…
On Perturbation Method for the First Kind Equations: Regularization and Application
Ildar R. Muftahov, Denis N. Sidorov, Nikolai A. Sidorov
One of the most common problems of scientific applications is computation of the derivative of a function specified by possibly noisy or imprecise experimental data. Application of…