Local existence for abstract semilinear Volterra integrodifferential equations
The authors prove some existence results for mild solutions of a linear Volterra integrodifferential equation perturbed either by a continuous nonlinear hereditary term, or by a lower semicontinuous multivalued function. The main idea of proof is to use some compactness properties of the corresponding resolvent kernel pertaining a direct application of Schauder's fixed point theorem.
abstract semilinear Volterra integro-differential equations
scientific article; zbMATH DE number 536840
scientific article