TY  - JOUR
ID  - Wang2014
LB  - Wang2014
AU  - Wang, JinRong
AU  - Fečkan, Michal
AU  - Zhou, Yong
TI  - On the stability of first order impulsive evolution equations
ST  - On the stability of first order impulsive evolution equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2014
VL  - 34
IS  - 3
SP  - 639
EP  - 657
DO  - http://dx.doi.org/10.7494/OpMath.2014.34.3.639
UR  - http://dx.doi.org/10.7494/OpMath.2014.34.3.639
AB  - In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised. Ulam-Hyers-Rassias stability results on a compact interval and an unbounded interval are presented by using an impulsive integral inequality of the Gronwall type. Two examples are also provided to illustrate our results. Finally, some extensions of the Ulam-Hyers-Rassias stability for the case with infinite impulses are given.
KW  - first order
KW  - impulsive evolution equations
KW  - Ulam-Hyers-Rassias stability
SN  - 1232-9274
ER  -