Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms
Ashyralyev A. Mu’azu S.B.
August 2023Multidisciplinary Digital Publishing Institute (MDPI)
Mathematics
2023#11Issue 16
In the present work, an initial boundary value problem (IBVP) for the semi-linear delay differential equation in a Banach space with unbounded positive operators is studied. The main theorem on the uniqueness and existence of a bounded solution (BS) of this problem is established. The application of the main theorem to four different semi-linear delay parabolic differential equations is presented. The first- and second-order accuracy difference schemes (FSADSs) for the solution of a one-dimensional semi-linear time-delay parabolic equation are considered. The new desired numerical results of this paper and their discussion are presented.
bounded solution , delay parabolic equations , unbounded delay term , uniqueness and existence
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Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Department of Mathematics, Peoples’ Friendship University of Russia, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics, Faculty of Arts and Sciences, Near East University, TRNC, Mersin 10, Nicosia, 99138, Turkey
Department of Mathematics, Faculty of Physical Sciences, Kebbi State University of Science and Technology, Aliero P.O. Box 1144, Nigeria
Department of Mathematics
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
Department of Mathematics
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