2018
Том 70
№ 4

# On the Solvability of Impulsive Differential-Algebraic Equations

Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 4, pp 551-564.

Citation Example: Perestyuk N. A., Vlasenko L. A. On the Solvability of Impulsive Differential-Algebraic Equations // Ukr. Mat. Zh. - 2005. - 57, № 4. - pp. 458–468.

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