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.
"About the Nature of the Spectrum of the Periodic Problem for the Heat Equation with a Deviating Argument." Abstr. Appl. Anal. 2013 (SI62) 1 - 6, 2013. https://doi.org/10.1155/2013/128363