Stability of retarded systems with slowly varying coefficient
Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, 84105 Beer-Sheva, Israel
Received: 10 February 2011
Revised: 8 July 2011
The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.
Mathematics Subject Classification: 34K20
Key words: Linear retarded systems / stability / generalized Bohl-Perron principle
© EDP Sciences, SMAI, 2011