Geodesic
Exponential stability of linear and almost periodic systems on Banach spaces
Electronic journal of differential equations, Tome 2003 (2003)
Let

$ \dot v(t)=A(t)v(t)+f(t), \quad v(0)=0\quad t\ge 0 $

on a complex Banach space

$ \dot u(t)=A(t)u(t), \quad u(0)=x\quad t\ge 0 $

is uniformly exponentially stable. Our approach is based on the spectral theory of evolution semigroups.
Classification : 35B10, 35B15, 35B40, 47A10, 47D03
Keywords: almost periodic functions, uniform exponential stability, evolution semigroups 
@article{EJDE_2003__2003__a9,
     author = {Bu\c{s}e,  Constantin and Lupulescu,  Vasile},
     title = {Exponential stability of linear and almost periodic systems on {Banach} spaces},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1043.35022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a9/}
}
TY  - JOUR
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AU  - Lupulescu,  Vasile
TI  - Exponential stability of linear and almost periodic systems on Banach spaces
JO  - Electronic journal of differential equations
PY  - 2003
VL  - 2003
UR  - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a9/
LA  - en
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%A Buşe,  Constantin
%A Lupulescu,  Vasile
%T Exponential stability of linear and almost periodic systems on Banach spaces
%J Electronic journal of differential equations
%D 2003
%V 2003
%U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a9/
%G en
%F EJDE_2003__2003__a9
Buşe,  Constantin; Lupulescu,  Vasile. Exponential stability of linear and almost periodic systems on Banach spaces. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a9/