2011, 2011(Special): 373-380. doi: 10.3934/proc.2011.2011.373

About maximum principles for one of the components of solution vector and stability for systems of linear delay differential equations

1. 

Department of Mathematics, Ariel University Center, Ariel, Israel

Received  August 2010 Revised  February 2011 Published  October 2011

In this paper we de ne and discuss maximum principles for systems of delay di erential equations. Assertions on di erential inequalities for one of the components of solution vector are proven. On this basis new exponential stability results are obtained. In contrast with other results of this sort we do not assume the dominance of the main diagonal in order to get the exponential stability. Various tests of the exponential stability are proposed.
Citation: A. Domoshnitsky. About maximum principles for one of the components of solution vector and stability for systems of linear delay differential equations. Conference Publications, 2011, 2011 (Special) : 373-380. doi: 10.3934/proc.2011.2011.373
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