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2011, Volume 2011: 373-380. Doi: 10.3934/proc.2011.2011.373 open access
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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

Received:  August 2010
Revised:  February 2011
Published:  August 2017
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    Abstract
  • 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.
    Mathematics Subject Classification: 34K20, 34K38.

    Citation:
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