On the stability of abstract monotone impulsive differential equations in terms of two measures

• Date: 2011
• Main Authors: Dvirnyi, A. I., Slyn'ko, V. I., Двирный, А. И., Слынько, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2774
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider differential equations in a Banach space subjected to pulse influence at fixed times. It is assumed that a partial order is introduced in the Banach space with the use of a certain normal cone and that the differential equations are monotone with respect to initial data. We propose a n...