Abstract
In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonlocal conditions. In particular, the compactness condition or Lipschitz condition for the function g in the nonlocal conditions appearing in various literatures is not required here. An example is also provided to show an application of the obtained result.
| Original language | English |
|---|---|
| Pages (from-to) | 747-757 |
| Number of pages | 11 |
| Journal | Acta Mathematica Scientia |
| Volume | 33 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 2013 |
Keywords
- Exact null controllability
- Linear evolution system
- Nonlocal condition
- Schauder fixed point theorem