Abstract
The existence of mild and strong solutions of semilinear neutral functional differential evolution equations with nonlocal conditions was studied. The fractional power of operators and Sadovskii's fixed point theorem was used for this purpose. An example was presented to show the application of the results.
| Original language | English |
|---|---|
| Pages (from-to) | 215-227 |
| Number of pages | 13 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 54 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 2003 |
Keywords
- Existence of solutions
- Nonlocal Cauchy problem
- Operator semigroup
- Sadovskii's fixed point theorem
- Semilinear neutral functional evolution equation