## 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

### Keywords:

existence; uniqueness; continuous dependence