On the Solvability of Impulsive Differential-Algebraic Equations

• Date: 2005
• Main Authors: Vlasenko, L. A., Perestyuk, N. A., Власенко, Л. А., Перестюк, Н. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3612
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish theorems on the existence and uniqueness of a solution of the impulsive differential-algebraic equation $$\frac{d}{{dt}}[Au(t)] + Bu(t) = f(t,u(t)),$$ where the matrix A may be singular. The results are applied to the theory of electric circuits.