Conditions of solvability and representation of the solutions of equations with operator matrices

• Date: 2019
• Main Authors: Zhuravlev, V. F., Zabrodskiy, P. N., Fomin, N. P., Журавлев, В. Ф., Забродский, П. Н., Фомин, Н. П.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1452
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We propose new methods for the construction of generalized inverse operator matrices for the operator matrices in Banach spaces. The solvability criteria and the formulas for representations of the general solutions of operator equations with operator matrices are obtained. As an application, we con...