Abstract
In this paper, we study the approximate controllability of semilinear neutral functional-differential systems and impulsive functional-differential systems with finite delay. Since the considered equations admit nonlinear terms involving spatial derivatives, the fraction power theory and α-norm is used to discuss the problem so that the established results can be applied to them. An example is provided to illustrate the application of the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 425-443 |
| Number of pages | 19 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2009 |
Keywords
- (Impulsive) Functional differential system
- Analytic semigroup
- Approximate controllability
- Fixed point theorem
- Fractional power operator