Geodesic
On the decay rate of solutions of non-autonomous differential systems
Electronic journal of differential equations, Tome 2001 (2001)
Some results on the asymptotic behaviour of solutions of differential equations concerning general decay rate are proved. We prove general criteria on the exponential, polynomial, and more general decay properties of solutions by using suitable Lyapunov's functions. We also present a detailed analysis of the perturbed linear and nonlinear differential systems. The theory is illustrated with several examples.
Classification : 34D05, 34D10, 34D20
Keywords: asymptotic behaviour, exponential and polynomial stability, rate of decay 
@article{EJDE_2001__2001__a174,
     author = {Caraballo,  Tom\'as},
     title = {On the decay rate of solutions of non-autonomous differential systems},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0971.34031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a174/}
}
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%A Caraballo,  Tomás
%T On the decay rate of solutions of non-autonomous differential systems
%J Electronic journal of differential equations
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Caraballo,  Tomás. On the decay rate of solutions of non-autonomous differential systems. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a174/