Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations

  • L. A. Vlasenko

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.
Published
25.02.2008
How to Cite
Vlasenko, L. A. “Forced Oscillations of an Infinite-Dimensional Oscillator under Impulsive Perturbations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 2, Feb. 2008, pp. 155–166, https://umj.imath.kiev.ua/index.php/umj/article/view/3145.
Section
Research articles