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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-043a7864c28549c6aec0d0d2a8e67a7b |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT iorazov aboutthenatureofthespectrumoftheperiodicproblemfortheheatequationwithadeviatingargument AT ashaldanbayev aboutthenatureofthespectrumoftheperiodicproblemfortheheatequationwithadeviatingargument AT mshomanbayeva aboutthenatureofthespectrumoftheperiodicproblemfortheheatequationwithadeviatingargument |