The exponential stability plays a central role in the theory of asymptotic behaviors for evolution equations. The aim of this paper is to define, to illustrate by examples and to characterize several general concepts of stability for skew-evolution semiflows on Banach spaces.

Topics
Stability theory, Functional analysis
1.
R.
 
Datko
,
Siam J. Math. Anal.
 
3
,
428
–
445
(
1972
).
https://doi.org/10.1137/0503042
Google Scholar
Crossref
Search ADS
 
2.
S.
 
Rolewicz
,
J. Math. Anal. Appl.
 
115
,
434
–
441
(
1986
).
https://doi.org/10.1016/0022-247X(86)90006-5
Google Scholar
Crossref
Search ADS
 
3.
C.
 
Stoica
,
AIP Conference Proceedings
 
1978
(
2018
).
Google Scholar
 
4.
C.
 
Stoica
,
AIP Conference Proceedings
 
2116
(
2019
).
Google Scholar
 
5.
M.
 
Megan
 and
C.
 
Stoica
,
Studia Univ. Babeş-Bolyai Math.
 
LIII
,
17
–
24
(
2008
).
Google Scholar
 
6.
C.
 
Stoica
 and
M.
 
Megan
,
Nonlinear Analysis
 
72
,
1305
–
1313
(
2010
).
https://doi.org/10.1016/j.na.2009.08.019
Google Scholar
Crossref
Search ADS
 
7.
L.
 
Barreira
 and
C.
 
Valls
,
Stability of Nonautonomous Differential Equations
, Vol.
1926
(
2008
).
Google Scholar
 
This content is only available via PDF.
© 2020 Author(s).
2020
Author(s)
You do not currently have access to this content.