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

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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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.319-324
Hauptverfasser: Orazov, I., Shomanbayeva, M., Shaldanbayev, A.
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Heat equation
Heat equations
Mathematical research
Periodic functions
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/128363