2 citations · 3 across the 8 of their papers we have counts for
8 papers
One class of linear Fredholm integral equations with functionals and parameters
L. R. Dreglea Sidorov, N. Sidorov, D. Sidorov
The theory of linear Fredholm integral-functional equations of the second kind with linear functionals and with a parameter is considered. The necessary and sufficient conditions a…
Numeric solution of systems of nonlinear Volterra integral equations of the first kind with discontinuous kernels
A. N. Tynda, D. N. Sidorov, N. A. Sidorov
The systems of nonlinear Volterra integral equations of the first kind with jump discontinuous kernels are studied. The iterative numerical method for such nonlinear systems is pro…
Irregular linear systems of PDEs with the conditions on solutions' projections
Nikolai A. Sidorov
The theory of complete generalized Jordan sets is employed to reduce the PDE with the irreversible linear operator of finite index to the regular problems. It is demonstrated h…
Basins of attraction of nonlinear systems' equilibrium points: stability, branching and blow-up
Nikolai Sidorov, Denis Sidorov, Yong Li
This paper presents a nonlinear dynamical model which consists the system of differential and operator equations. Here differential equation contains a nonlinear operator acting in…
Nonclassic boundary value problems in the theory of irregular systems of equations with partial derivatives
Nikolai Sidorov, Denis Sidorov
The linear PDE with nonclassic conditions on boundary is c…
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…