01.06.2015 | Original Research | Ausgabe 1-2/2015

On the \(\beta \)-Ulam–Hyers–Rassias stability of nonautonomous impulsive evolution equations
- Zeitschrift:
- Journal of Applied Mathematics and Computing > Ausgabe 1-2/2015
Abstract
In this paper, we first present \(\beta \)-Ulam–Hyers–Rassias stability results for nonautonomous impulsive evolution equations on a compact interval and an unbounded interval. Second, we give some extensions of \(\beta \)-Ulam–Hyers–Rassias stability for infinite impulses case. Finally, we give two examples to illustrate our results.