On the Diffeomorphisms Between Banach and Hilbert Spaces
Abstract: In this paper, we give some sufficient conditions for f: X → H to be a diffeomorphism, where X is a Banach space and H is a Hilbert space. The proof of the result is based on the mountain pass theorem. Using this result, in the final part of the paper, we prove an existence theorem for some class of integro-differential equations.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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On the Diffeomorphisms Between Banach and Hilbert Spaces ; volume:12 ; number:1 ; year:2012 ; pages:89-100 ; extent:12
Advanced nonlinear studies ; 12, Heft 1 (2012), 89-100 (gesamt 12)
- Urheber
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Idczak, Dariusz
Skowron, Andrzej
Walczak, Stanislaw
- DOI
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10.1515/ans-2012-0105
- URN
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urn:nbn:de:101:1-2405021718017.546898919227
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 10:48 MESZ
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Beteiligte
- Idczak, Dariusz
- Skowron, Andrzej
- Walczak, Stanislaw
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