Halanay inequality, Yorke 3/2 stability criterion, and differential equations withmaxima

Autor: Anatoli, Ivanov, Eduardo, Liz, Sergei, Trofimchuk
Jazyk: angličtina
Rok vydání: 2002
Zdroj: 東北數學雜誌. Second series = Tohoku mathematical journal. Second series. 54(2):277-295
ISSN: 0040-8735
Popis: 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.
Databáze: OpenAIRE