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math-ph2023
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…
math-ph2014
On Application of the Lyapunov-Schmidt-Trenogin Method to Bifurcation Analysis of the Vlasov-Maxwell system
Nikolai A. Sidorov
The review of existence theorems of bifurcation points of solutions for nonlinear operator equation in Banach spaces is presented. The sufficient conditions of bifurcation of solut…