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Integrated semigroups amd integrodifferential equations. (English) Zbl 0788.45011
The authors prove some existence, uniqueness and continuous dependence results for two classes of integro-differential equations in a Banach space by using the theory of nondegenerate, locally Lipschitz continuous integrated semigroups. Furthermore, they apply the abstract results to the study of some specific problems in one-dimensional viscoelasticity.
Reviewer: I.Vrabie (Iaşi)

##### MSC:
 45N05 Abstract integral equations, integral equations in abstract spaces 45J05 Integro-ordinary differential equations 74Hxx Dynamical problems in solid mechanics 47D06 One-parameter semigroups and linear evolution equations
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##### References:
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