Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 05, pp. 1-17.

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

Author: Tomas Caraballo (Univ. de Sevilla, Spain)
          
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.
 
Submitted December 7, 2000. Published January 3, 2001.
Math Subject Classifications: 34D05, 34D10, 34D20.
Key Words: Asymptotic behaviour; exponential and polynomial stability; 
           rate of decay.