Regularized approximations of singular perturbations from the $H_2$-class

• Date: 2000
• Main Authors: Koshmanenko, V. D., Кошманенко, В. Д.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4457
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a sequence of singular perturbations belonging to the $H_1$-class and converging to a given singular perturbation from the $H_2$-class, we find a method of additive regularization that guarantees the strong resolvent convergence of perturbed operators.