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Asymptotic stability for dynamical systems associated with the one-dimensional Frémond model of shape memory alloys
2003, 2003(Special): 809-816. doi: 10.3934/proc.2003.2003.809

## Exponential decay of oscillations in a multidimensional delay differential system

 1 School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv

Received  August 2002 Revised  April 2003 Published  April 2003

We consider a multi-dimensional dynamical system with a discontinuous delayed part, which is a model of a relay type negative feedback with an uncertain time delay. Our main result consists of a sufficient criterion for an exponential decay of oscillations even when the non-delayed part of the system has no stable solutions.
Citation: Eugenii Shustin. Exponential decay of oscillations in a multidimensional delay differential system. Conference Publications, 2003, 2003 (Special) : 809-816. doi: 10.3934/proc.2003.2003.809
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