Abstract
In this paper, we study the approximate controllability of semilinear impulsive functional differential inclusions with nonlocal conditions. Analytic semigroup theory and á-norm arguments are employed to ensure that the obtained results can be applied to the systems involving spatial derivatives. In particular, the compactness condition or Lipschitz condition for the function g in the nonlocal conditions appearing in literature is not required here. An example is provided to illustrate the application of the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 359-386 |
| Number of pages | 28 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 17 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2011 |
Keywords
- Analytic semigroup
- Approximate controllability
- Differential inclusion
- Impulsive
- Nonlocal condition