Conditions of Invertibility for Functional Operators with Shift in Weighted Hölder Spaces

• Дата: 2015
• Автори: Karelin, O., Tarasenko, A. A., Карелін, О., Тарасенко, А. А.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2015
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2089
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider functional operators with shift in weighted Hölder spaces. The main result of the work is the proof of the conditions of invertibility for these operators. We also indicate the forms of the inverse operators. As an application, we propose to use these results for the solution of equation...