On the Decay Rate of Solutions of Non-Autonomous Differential Systems
Date
2001-01-03
Authors
Caraballo, Tomas
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Asymptotic behaviour, Exponential and polynomial stability, Rate of decay
Citation
Caraballo, T. (2001). On the decay rate of solutions of non-autonomous differential systems. <i>Electronic Journal of Differential Equations, 2001</i>(05), pp. 1-17.