On a comparison method for pulse systems in the space $R^n$

• Date: 1993
• Main Authors: Akhmetov, M. U., Perestyuk, N. A., Ахметов, М. У., Перестюк, Н. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5864
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A method for the study of differential equations with pulse influence on the surfaces, which was realized in [1] for a bounded domain in the phase space, is now extended to the entire space $R^n$. We prove theorems on the existence of integral surfaces in the critical case and justify the reduction...