Generalized solutions for linear operators with weakened a priori inequalities

• Дата: 2010
• Автори: Anikushyn, A. V., Nomirovs'kii, D. A., Анікушин, А. В., Номіровський, Д. А.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2010
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2933
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We propose an approach to the investigation of generalized solutions of linear operators that satisfy weakened a priori inequalities. This approach generalizes several well-known definitions of generalized solutions of operator equations. We prove existence and uniqueness theorems for a generalized...