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

• Дата: 2019
• Автори: Zhuravlev, V. F., Zabrodskiy, P. N., Fomin, N. P., Журавлев, В. Ф., Забродский, П. Н., Фомин, Н. П.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2019
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1452
• Назва журналу: 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...