Ulam stabilities of differential equation with abstract Volterra operator in a Banach space. (English) Zbl 1242.45011
Summary: The paper is devoted to the study of Ulam-Hyers stability and Ulam-Hyers-Rassias stability for a class of abstract Volterra equations.
MSC:
| 45N05 | Abstract integral equations, integral equations in abstract spaces |
| 45M10 | Stability theory for integral equations |
| 45D05 | Volterra integral equations |
| 45J05 | Integro-ordinary differential equations |
| 45G10 | Other nonlinear integral equations |
