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 作者：... Alexander L. Shestakov , Georgy A. Sviridyuk , Yurii V. Khudyakov 来源：[B].Springer Proceedings in Mathematics & Statistics2015Springer 摘要：Abstract Numerical algorithms for the restoration of deterministic and stochastic signals distorted by measuring transducer’s (MT) mechanical inertia and resonances are discussed. The algorithm is based on mathematical model (MM) which consists of the Leontieff type system o...
 作者：Natalia A. Manakova , Georgy A. Sviridyuk 来源：[B].Springer Proceedings in Mathematics & Statistics2015Springer 摘要：Abstract The sufficient conditions for the existence of optimal control of solutions of the initial-final problem for linear Sobolev type equations with $$(L,p)$$ ( L , p ) -radial operator $$M$$ M are found. In this research we demonstrate the appliance of the abstract sche...
 作者：Minzilia A. Sagadeeva , Georgy A. Sviridyuk 来源：[B].Springer Proceedings in Mathematics & Statistics2015Springer 摘要：Abstract The Oskolkov model on a geometrical graph describes the process of oil transportation by a system of pipes. Of concern is the stability of solutions and the optimal control of solutions for the operator-differential equation, unsolved with respect to time derivative...
 作者：Alexander L. Shestakov , Georgy A. Sviridyuk , Yurii V. Khudyakov 来源：[B].Springer Proceedings in Mathematics & Statistics2015Springer 摘要：Abstract The mathematical model (MM) of the measuring transducer (MT) is discussed. The MM is intended for restoration of deterministic signals distorted by mechanical inertia of the MT, resonances in MT’s circuits and stochastic perturbations. The MM is represented by the L...
 作者：Sophiya A. Zagrebina , Ekaterina A. Soldatova , Georgy A. Sviridyuk 来源：[B].Springer Proceedings in Mathematics & Statistics2015Springer 摘要：Abstract The stochastic linear Oskolkov model of oil transportation by the pipeline is represented by a set of linear one-dimensional Oskolkov equations, modeling the viscoelastic incompressible fluid flow. These equations are defined on the edges of a geometric graph with c...
 作者：Alyona A. Zamyshlyaeva , Georgy A. Sviridyuk 来源：[B].Springer Proceedings in Mathematics & Statistics2015Springer 摘要：Abstract In the framework of the Sobolev type equations theory the linearized Benney–Luke mathematical model is considered. In studying of the model with deterministic external signal the methods and results of the Sobolev type equations theory and degenerate groups of opera...
 作者：Georgy A. Sviridyuk 来源：[J].Ukr. Mat. Visn., 2004, Vol.1 (2), pp.259-272ZBMATH 摘要：Summary: The solvability of the Cauchy problem $u(0)=u_0$ for a semilinear differential operator equation $L\dot u = Mu + N(u)$ is considered. Abstract results are illustrated by the Cauchy-Dirichlet problem for degenerate reaction-diffusion equations and for Navier-Stokes equati...