Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation

We investigate the Tricomi boundary value problem for a differential-difference leading-lagging equation of mixed type with non-Carleman deviations in all arguments of the required function. A reduction is applied to a mixed-type equation without deviations. Symmetric pairwise commutative matric...

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Main Author:	Zarubin, Alexandr Nikolaevich
Format:	Article
Language:	English
Published:	Samara State Technical University 2021-01-01
Series:	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:	http://mi.mathnet.ru/vsgtu1835

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spelling	doaj-544f988ff57747fbb3dc259c6b6dc6952021-04-20T19:40:51ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812021-01-01251355010.14498/vsgtu1835Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equationZarubin, Alexandr Nikolaevich We investigate the Tricomi boundary value problem for a differential-difference leading-lagging equation of mixed type with non-Carleman deviations in all arguments of the required function. A reduction is applied to a mixed-type equation without deviations. Symmetric pairwise commutative matrices of the coefficients of the equation are used. The theorems of uniqueness and existence are proved. The problem is unambiguously solvable.http://mi.mathnet.ru/vsgtu1835
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zarubin, Alexandr Nikolaevich
spellingShingle	Zarubin, Alexandr Nikolaevich Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet	Zarubin, Alexandr Nikolaevich
author_sort	Zarubin, Alexandr Nikolaevich
title	Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation
title_short	Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation
title_full	Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation
title_fullStr	Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation
title_full_unstemmed	Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation
title_sort	nonlocal tricomi boundary value problem for a mixed-type differential-difference equation
publisher	Samara State Technical University
series	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn	1991-8615 2310-7081
publishDate	2021-01-01
description	We investigate the Tricomi boundary value problem for a differential-difference leading-lagging equation of mixed type with non-Carleman deviations in all arguments of the required function. A reduction is applied to a mixed-type equation without deviations. Symmetric pairwise commutative matrices of the coefficients of the equation are used. The theorems of uniqueness and existence are proved. The problem is unambiguously solvable.
url	http://mi.mathnet.ru/vsgtu1835
work_keys_str_mv	AT zarubinalexandrnikolaevich nonlocaltricomiboundaryvalueproblemforamixedtypedifferentialdifferenceequation
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Nonlocal Tricomi boundary value problem for a mixed-type differential-difference equation

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