On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space |
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Authors: | V. V. Vlasov N. A. Rautian |
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Affiliation: | 19800. Moscow State University, Moscow, Russia
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Abstract: | We consider integro-differential equations that are an abstract form of the well-known Gurtin-Pipkin equation. We obtain representations of strong solutions of these equations in the form of series in the exponentials corresponding to points of spectrum of the symbols of such equations. |
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