Multiperiodic Solution of the Initial-Boundary Value Problem for an Integro-Differential Equation of the Parabolic Type
Sartabanov Z.A. Aitenova G.M. Abdikalikova G.A.
August 2022Pleiades Publishing
Russian Mathematics
2022#66Issue 846 - 55 pp.
Abstract: This paper investigates the initial-boundary value problem for an integro-differential equation of parabolic type with a differentiation operator with respect to multidimensional time. A fundamental solution is constructed and some of its properties associated with multiperiodicity in time and diagonal periodicity in space variables are discovered. An estimate is obtained for the fundamental solution of an integro-differential equation. The existence and uniqueness of multiperiodic solutions of the boundary value problem with respect to all arguments are established and some basic properties of the desired solutions are found.
initial-boundary value problem , integro-differential , multidimensional time , multiperiodicity , operator series , parabolicity
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Zhubanov Aktobe Regional University, Aktobe, 030000, Kazakhstan
Utemisov West-Kazakhstan University, Uralsk, 090000, Kazakhstan
Zhubanov Aktobe Regional University
Utemisov West-Kazakhstan University
10 лет помогаем публиковать статьи Международный издатель
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