Geodesic
Relationship between different types of stability for linear almost periodic systems in Banach spaces
Electronic journal of differential equations, Tome 1999 (1999)
For the linear equation $x'= A(t)x$ with recurrent (almost periodic) coefficients in an arbitrary Banach space, we prove that the asymptotic stability of the null solution and of all limit equations implies the uniform stability of the null solution.
Classification : 34C35, 34C27, 34K15, 34K20, 58F27, 34G10
Keywords: non-autonomous linear dynamical systems, global attractors, almost periodic system, stability, asymptotic stability 
@article{EJDE_1999__1999__a80,
     author = {Cheban,  D.N.},
     title = {Relationship between different types of stability for linear almost periodic systems in {Banach} spaces},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0983.37015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a80/}
}
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JO  - Electronic journal of differential equations
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VL  - 1999
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%0 Journal Article
%A Cheban,  D.N.
%T Relationship between different types of stability for linear almost periodic systems in Banach spaces
%J Electronic journal of differential equations
%D 1999
%V 1999
%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a80/
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%F EJDE_1999__1999__a80
Cheban,  D.N. Relationship between different types of stability for linear almost periodic systems in Banach spaces. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a80/