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Abstract and Applied Analysis
Volume 2013, Article ID 128363, 6 pages
Research Article

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

M. Auezov South Kazakhstan State University, 5 Tauke Khan Avenue, Shymkent 160012, Kazakhstan

Received 17 May 2013; Revised 24 July 2013; Accepted 3 September 2013

Academic Editor: Valery Covachev

Copyright © 2013 I. Orazov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.