On the Volterra property of a boundary problem with integral gluing condition for a mixed parabolic-hyperbolic equation
Abdumauvlen BerdyshevKazakh National Pedagogical University named after Abai, Almaty, KazakhstanAlberto CabadaUniversity of Santiago de Compostela, Santiago de Compostela, SpainErkinjon KarimovInstitute of Mathematics, National University of Uzbekistan named after Mirzo Ulughbek, Tashkent, UzbekistanN. S. AkhtaevaKazakh National Pedagogical University named after Abai, Almaty, Kazakhstan
ABI
Abstract
Abstract In the present work, we consider a boundary value problem with gluing conditions of an integral form for the parabolic-hyperbolic type equation. We prove that the considered problem has the Volterra property. The main tools used in the work are related to the method of the integral equations and functional analysis.
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