Geodesic
Exponential stability of linear and almost periodic systems on Banach spaces
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a9/}
}
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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/