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Information × Registration Number 0223U000117, 0118U005210 , R & D reports Title Investigation of solutions of pseudodifferential equations and the problem of thermoelectroplasticity popup.stage_title Head Litovchenko Vladyslav Antonovych, д.ф.-м.н. Registration Date 03-01-2023 Organization Yuriy Fedkovych Chernivtsi National University popup.description2  The following main results were obtained: the classical equation of fractal diffusion was generalized, its connection with local vortices of Riess gravitational fields was investigated, the correct solvability of the Cauchy problem was established for it in the class of unbounded, discontinuous initial functions; the general nature of such symmetric Lévy random processes was established for the first time in the context of the problem of the local influence of moving objects in gravitational fields; the classes of parabolically stable equations with variable coefficients are defined, for which the Green's function of the Cauchy problem is constructed and its main properties are investigated; the classes of uniqueness and correctness for hyperbolic according to Shilov systems have been expanded; multipoint Cauchy, Dirichlet problems and a problem with a slant derivative for a parabolic equation with pointwise degenerate coefficients were investigated, the correct solvability of these problems in weighted Hölder spaces was established, these results were applied to solving the corresponding problems of optimal control; the approach to the description of the thermoelectric field in a zonally inhomogeneous medium is generalized, a scheme for constructing the generating function of this field for a two-dimensional gyrotropic medium is developed; the correct statement was made and the stochastic m-point Cauchy problem in time was solved for the higher-order parabolic equation with "white noise" type disturbances with negative values; methodical aspects of teaching mathematics and informatics in educational institutions were investigated Product Description popup.authors Litovchenko Vladyslav A. Lenyuk Oleg Myhaylovych Luste Irina Petrivna Luchko Volodymyr Mykolayovich Melnychuk Liliia Myhailivna Perun Halyna M. Pukalskyi Ivan Dmyrtovych Yashan Bohdan Olehovych popup.nrat_date 2023-01-03 Close