About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument

We study the nature of the spectrum of the periodic problem for the heat equation with a lower-order term and with a deviating argument. A significant influence of the lower-order term on the correct solvability of this problem is found. We obtain a criterion for the strong solvability of the above-...

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Main Authors: I. Orazov, A. Shaldanbayev, M. Shomanbayeva
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/128363
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author I. Orazov
A. Shaldanbayev
M. Shomanbayeva
author_facet I. Orazov
A. Shaldanbayev
M. Shomanbayeva
author_sort I. Orazov
collection DOAJ
description We study the nature of the spectrum of the periodic problem for the heat equation with a lower-order term and with a deviating argument. A significant influence of the lower-order term on the correct solvability of this problem is found. We obtain a criterion for the strong solvability of the above-mentioned problem.
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institution Kabale University
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series Abstract and Applied Analysis
spelling doaj-art-043a7864c28549c6aec0d0d2a8e67a7b2025-02-03T01:23:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/128363128363About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating ArgumentI. Orazov0A. Shaldanbayev1M. Shomanbayeva2M. Auezov South Kazakhstan State University, 5 Tauke Khan Avenue, Shymkent 160012, KazakhstanM. Auezov South Kazakhstan State University, 5 Tauke Khan Avenue, Shymkent 160012, KazakhstanM. Auezov South Kazakhstan State University, 5 Tauke Khan Avenue, Shymkent 160012, KazakhstanWe study the nature of the spectrum of the periodic problem for the heat equation with a lower-order term and with a deviating argument. A significant influence of the lower-order term on the correct solvability of this problem is found. We obtain a criterion for the strong solvability of the above-mentioned problem.http://dx.doi.org/10.1155/2013/128363
spellingShingle I. Orazov
A. Shaldanbayev
M. Shomanbayeva
About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument
Abstract and Applied Analysis
title About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument
title_full About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument
title_fullStr About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument
title_full_unstemmed About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument
title_short About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument
title_sort about the nature of the spectrum of the periodic problem for the heat equation with a deviating argument
url http://dx.doi.org/10.1155/2013/128363
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AT ashaldanbayev aboutthenatureofthespectrumoftheperiodicproblemfortheheatequationwithadeviatingargument
AT mshomanbayeva aboutthenatureofthespectrumoftheperiodicproblemfortheheatequationwithadeviatingargument