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Scientific seminar on the differential and functional differential equations
February 25, 2025 12:00, Moscow, st. Ordzhonikidze 3, room. 458


On traces of the solution of a general linear differential equation in a domain

V. P. Burskiiab

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b Institute of Applied Mathematics and Mechanics, Donetsk


https://youtu.be/gaYLEFxpt0Q?si=Cm1jiO1sL_Oe4i_b

Abstract: The talk deals with conditions on the traces of the solution of a general differential equation on the boundary of a region, which allow us to assert the existence and uniqueness of this solution on the traces of the solution and the right-hand side of the equation. For the case of a general equation with constant coefficients the obtained conditions on the traces of the solution have the form of a generalised problem of moments.


© Steklov Math. Inst. of RAS, 2025