4 papers · 1 filter
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…
Solution to the Volterra Matrix Equation of the 1st kind with Piecewise Continuous Kernels
Denis Sidorov
In this text matrix Volterra integral equation of the first kind is addressed. It is assumed that kernels of the equation have jump discontinuities on non-intersecting curves. Such…
Solution to the Volterra Operator Equations of the 1st kind with Piecewise Continuous Kernels
Denis Sidorov, Nikolai Sidorov
The sufficient conditions for existence and uniqueness of continuous solutions of the Volterra operator equations of the first kind with piecewise continuous kernel are derived. Th…
Convex Majorants Method in the Theory of Nonlinear Volterra Equations
Denis Sidorov, Nikolay Sidorov
The main solutions in sense of Kantorovich of nonlinear Volterra operator-integral equations are constructed. Convergence of the successive approximations is established through st…