Tohoku Mathematical Journal
- Tohoku Math. J. (2)
- Volume 54, Number 2 (2002), 277-295.
Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima
We present an extension of the well-known $3/2$-stability criterion by Yorke for two term functional differential equations. We prove the exact nature of the obtained stability region which coincides with the Yorke result in the special case when the decay term is absent. Moreover, we reveal some interesting links existing between the Yorke conditions, Halanay inequalities and differential equations with maxima, all of them essentially involving the maximum functionals.
Tohoku Math. J. (2), Volume 54, Number 2 (2002), 277-295.
First available in Project Euclid: 11 April 2005
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34K20: Stability theory
Ivanov, Anatoli; Liz, Eduardo; Trofimchuk, Sergei. Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima. Tohoku Math. J. (2) 54 (2002), no. 2, 277--295. doi:10.2748/tmj/1113247567. https://projecteuclid.org/euclid.tmj/1113247567