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'Fractional' kinetic equations and 'universal' decoupling of a memory function in mesoscale regionIt is proved that kinetic equations containing non-integer integrals and derivatives appear

Sectorial differential-difference operators with degenerationA priori estimates was obtained for solutions of elliptic differential difference equations

The probability operator in quantum theory and quantization of a system of free fields in the Bose algebra with the help of the probability operator (the analog of Pauli's theorem). An equation

Research of the Equations of a Viscous Inhomogeneous Fluid in a Hele-Shaw Cell by Group Analysis Method equation for the viscosity function was obtained, and a basis of operators was constructed that preserved

Numerical method of network operator for multiobjective synthesis of optimal control system on genetic algorithm and special data structure, network operator. The numerical method allows automatic

Mode-coupling approximation in a fractional-power generalization: Particle dynamics in supercooled liquids and glasses the equations of motion of the dynamical variables by projection operator methods. We show that in the case

Convergence of approximate solutions to two-dimensional singular integral equation with Cauchy kernel in the integral metrics is proved. Solution to the characteristic equation,as well as norms of a singular operator and an operator

NONPOTENTIALITY OF SOBOLEV SYSTEM AND CONSTRUCTION OF SEMIBOUNDED FUNCTIONAL the importance of studying general differential equations and systems not resolved with respect to the higher

Averaging and mixing for stochastic perturbations of linear conservative systemsWe study stochastic perturbations of linear systems of the form \begin{equation*} dv(t)+Av(t) dt

'Fractional' kinetic equations and 'universal' decoupling of a memory function in mesoscale regionIt is proved that kinetic equations containing non-integer integrals and derivatives appear

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