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math.AP2018
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…
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…