Автор(ы): Арутюнов А. В. (ИПУ РАН, Лаборатория 45)Жуковский С. Е. (ИПУ РАН, Лаборатория 45)Автор(ов): 2 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Stable Solvability of Nonlinear Equations under Completely Continuous PerturbationsISBN/ISSN: 0081-5438DOI: 10.1134/S0081543821010016Наименование источника: Proceedings of the Steklov Institute of MathematicsОбозначение и номер тома: Т. 312, вып. 1Город: New YorkИздательство: SpringerГод издания: 2021Страницы: 1-15 АннотацияFor nonlinear mappings acting in Banach spaces, we examine inverse and implicit function theorems under various smoothness assumptions. For various regularity (normality) conditions imposed on such mappings, we prove that the corresponding equations have solutions under any sufficiently small (in the norm) completely continuous perturbations. A priori estimates for these solutions are obtained. Библиографическая ссылка: Арутюнов А.В., Жуковский С.Е. Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations // Proceedings of the Steklov Institute of Mathematics. 2021. Т. 312, вып. 1. С. 1-15.