On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space
В. В. Власов, Раутиан Надежда Александровна · Differential Equations · 2013
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.