Existence of solutions of nonlinear abstract neutral integrodifferential equations with infinite delay. (English) Zbl 1300.34173
Summary: This work is concerned with neutral integrodifferential equations of first order with infinite delay. By using the Hausdorff measure of noncompactness and fixed point theory, the existence of mild solutions is obtained without the assumption of compactness on the associated family of operators.
MSC:
| 34K30 | Functional-differential equations in abstract spaces |
| 34K40 | Neutral functional-differential equations |
| 47D03 | Groups and semigroups of linear operators |
| 47N20 | Applications of operator theory to differential and integral equations |
