Global invertibility of mappings between Banach spaces and applications to nonlinear equations

Galewski, Marek (author), Repovš, Dušan (author)

We provide sufficient conditions for a mapping between two Banach spaces to be a diffeomorphism using the approach of an auxiliary functional and also by the aid of a duality mapping corresponding to a normalization function. We simplify and generalize our previous results. Applications to algebraic equations and to integro-differential systems are also given.

• Language: English
• Keywords: global diffeomorphism, local diffeomorphism, algebraic equation, integro-differential system
• Work type: Article
• Typology: 1.08 - Published Scientific Conference Contribution
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2018
• Number of pages: Str. 87-102
• PID: 20.500.12556/RUL-109068
• UDC: 517.9
• ISSN on article: 1072-6691
• COBISS.SI-ID: 18440281
• Publication date in RUL: 20.08.2019

Record is a part of a proceedings

• Title: Proceedings of the international conference Two nonlinear days in Urbino 2017, Università degli Studi di Urbino "Carlo Bo", Italy, July 6-7, 2017
• COBISS.SI-ID: 18439769

Record is a part of a journal

• Title: Electronic journal of differential equations
• Shortened title: Electr. j. differ. equ.
• Publisher: Southwest Texas State University, University of North Texas
• ISSN: 1072-6691
• COBISS.SI-ID: 7027289