Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms

Autor:	Allaberen Ashyralyev, Sa’adu Bello Mu’azu
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	bounded solution delay parabolic equations uniqueness and existence unbounded delay term Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 16, p 3470 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11163470
Popis:	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.
Databáze:	Directory of Open Access Journals
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