Criteria for the Asymptotic Stability of Solutions of Dynamical Systems

• Date: 2000
• Main Authors: Valeyev, K. G., Dzhalladova, I. A., Валеев, К. Г., Джалладова, И. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4573
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present a new proof for criteria for the asymptotic stability of systems of difference and differential equations based on the properties of monotone operators in a semiordered space. We also establish necessary and sufficient conditions for the asymptotic stability of stochastic systems of diffe...