On the Solvability of Impulsive Differential-Algebraic Equations

Authors

  • L. A. Vlasenko
  • N. A. Perestyuk

Abstract

We establish theorems on the existence and uniqueness of a solution of the impulsive differential-algebraic equation ddt[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.

Published

25.04.2005

Issue

Section

Research articles

How to Cite

Vlasenko, L. A., and N. A. Perestyuk. “On the Solvability of Impulsive Differential-Algebraic Equations”. Ukrains’kyi Matematychnyi Zhurnal, vol. 57, no. 4, Apr. 2005, pp. 458–468, https://umj.imath.kiev.ua/index.php/umj/article/view/3612.