Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations

• Date: 2008
• Main Authors: Vlasenko, L. A., Власенко, Л. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3145
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...