Direct methods for the approximate solution of operator equations with nonzero kernel

• Date: 1998
• Main Authors: Malyshev, К. I., Tikhonenko, N. Ya., Малышев, К. И., Тихоненко, Н. Я.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4836
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We justify direct methods for the approximate solution of linear operator equations with nonzero kernels and apply these methods to the justification of projective methods for the approximate solution of standard singular integral equations with Cauchy kernels and positive index on the unit disk.