On a problem with a displacement for a partial differential equation

On a problem with a displacement for a partial differential equation

The unique solvability of the problem with the generalized operators of fractional integro-differentiation in the boundary condition is investigated for the mixed type equation. The uniqueness theorem for the nonlocal problem is proved. The proof of existence of the problem solution is reduced to th...

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Main Author: A. V. Tarasenko
Format: Article
Language:English
Published: Samara State Technical University 2013-09-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1255
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spelling doaj-0f90adacd10f4c59b2ff9111ba821e982020-11-25T00:57:40ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-09-013(32)212810.14498/vsgtu1255On a problem with a displacement for a partial differential equationA. V. TarasenkoThe unique solvability of the problem with the generalized operators of fractional integro-differentiation in the boundary condition is investigated for the mixed type equation. The uniqueness theorem for the nonlocal problem is proved. The proof of existence of the problem solution is reduced to the demonstration of solvability of Fredholm integral equation of the second kind.http://mi.mathnet.ru/eng/vsgtu1255
collection DOAJ
language English
format Article
sources DOAJ
author A. V. Tarasenko
spellingShingle A. V. Tarasenko
On a problem with a displacement for a partial differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet A. V. Tarasenko
author_sort A. V. Tarasenko
title On a problem with a displacement for a partial differential equation
title_short On a problem with a displacement for a partial differential equation
title_full On a problem with a displacement for a partial differential equation
title_fullStr On a problem with a displacement for a partial differential equation
title_full_unstemmed On a problem with a displacement for a partial differential equation
title_sort on a problem with a displacement for a partial differential equation
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2013-09-01
description The unique solvability of the problem with the generalized operators of fractional integro-differentiation in the boundary condition is investigated for the mixed type equation. The uniqueness theorem for the nonlocal problem is proved. The proof of existence of the problem solution is reduced to the demonstration of solvability of Fredholm integral equation of the second kind.
url http://mi.mathnet.ru/eng/vsgtu1255
work_keys_str_mv AT avtarasenko onaproblemwithadisplacementforapartialdifferentialequation
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