Functional differential equations with state-dependent delay on unbounded domains in a Banach space. (English) Zbl 1263.34112
Summary: We study the existence of solutions for differential equations with state dependent delay on an unbounded domain. Our results are based on the properties of the Kuratowski measure of noncompactness and Darbo’s fixed point theorem.
MSC:
| 34K30 | Functional-differential equations in abstract spaces |
| 35K05 | Heat equation |
| 47N20 | Applications of operator theory to differential and integral equations |
