Аннотация:
We study a class of time-dependent linear second-order integro-differential equations with the evolution equation approach. These equations arise naturally in the study of viscoelasticity. Existence theorems for strong solutions for three classes of complete integrodifferential second-order equations are obtained.
Ключевые слова и фразы:Volterra integro-differential equation, evolution equation, stable family of operators, $C_0$-semigroup, Cauchy problem.
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