Stability criteria for certain high odd order delay differential equations

Authors:
Baruch Cahlon;Darrell Schmidt
Affiliations:
Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309-4401, USA;Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309-4401, USA
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 6
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Abstract

In this paper we study the asymptotic stability of the zero solution of odd order linear delay differential equations of the formy^(^2^m^+^1^)(t)=@?j=02ma"jy^(^j^)(t)+@?j=02mb"jy^(^j^)(t-@t),where a"j and b"j are certain constants and m=1. Here @t0 is a constant delay. In proving our results we make use of Pontryagin's theory for quasi-polynomials.