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

Galewski, Marek (avtor), Repovš, Dušan (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: global diffeomorphism, local diffeomorphism, algebraic equation, integro-differential system
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.08 - Objavljeni znanstveni prispevek na konferenci
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2018
• Št. strani: Str. 87-102
• PID: 20.500.12556/RUL-109068
• UDK: 517.9
• ISSN pri članku: 1072-6691
• COBISS.SI-ID: 18440281
• Datum objave v RUL: 20.08.2019

Gradivo je del zbornika

• Naslov: 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

Gradivo je del revije

• Naslov: Electronic journal of differential equations
• Skrajšan naslov: Electr. j. differ. equ.
• Založnik: Southwest Texas State University, University of North Texas
• ISSN: 1072-6691
• COBISS.SI-ID: 7027289