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Identification problems for integro-differential delay equations. (English) Zbl 1074.35044

Summary: This paper is devoted to recovering a scalar time-dependent function in a source term in an integro-differential parabolic equation with delay. For such a problem existence and uniqueness results as well as continuous dependence upon the data are proved.

MSC:

35K30 Initial value problems for higher-order parabolic equations
35R10 Partial functional-differential equations
45K05 Integro-partial differential equations
45N05 Abstract integral equations, integral equations in abstract spaces
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