Abstract
In this paper, by using Sadovskii fixed point theorem, we study the existence of mild solutions and solutions of semilinear neutral functional differential evolution equations with nonlocal conditions. The results we obtained are generalization and continuation of the recent results on this issue. In the end, two examples are given to show the applications of our results.
| Original language | English |
|---|---|
| Pages (from-to) | 179-192 |
| Number of pages | 14 |
| Journal | Indian Journal of Pure and Applied Mathematics |
| Volume | 37 |
| Issue number | 3 |
| State | Published - Jun 2006 |
Keywords
- Existence of solutions, neutral evolution equation
- Linear evolution system
- Nonlocal cauchy problem
- Sadovskii fixed point theorem