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math.DS2018★ 2 cited
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…
math.DS2012
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…