2017
Том 69
№ 9

# Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations

Vlasenko L. A.

Abstract

Existence and uniqueness theorems for the impulsive differential operator equation $$\frac{d^2}{dt^2}[Au(t)] + Bu(t) = f(t, u(t))$$ are obtained. The operator A is allowed to be noninvertible. The results are applied to differential algebraic equations and partial differential equations, which are not equations of Kovalevskaya type.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 2, pp 177-190.

Citation Example: Vlasenko L. A. Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations // Ukr. Mat. Zh. - 2008. - 60, № 2. - pp. 155–166.

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