On the decay rate of solutions of non-autonomous differential systems

Autor: Tomas Caraballo
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2001, Iss 05, Pp 1-17 (2001)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
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