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On a Certain Generalization of the Krasnosel'skii Theorem

On a Certain Generalization of the Krasnosel'skii Theorem We provide a generalization of a well known Krasnosel'skii theorem on continuity of the Nemytskii operator for functions taking values in separable Banach spaces. We follow the results obtained in Evans, Partial Differential Equations, Graduate Studies in Mathematics, Amer. Math. Soc., 1998 for the finite dimensional case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

On a Certain Generalization of the Krasnosel'skii Theorem

Journal of Applied Analysis , Volume 9 (1) – Jun 1, 2003

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Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1425-6908
eISSN
1869-6082
DOI
10.1515/JAA.2003.139
Publisher site
See Article on Publisher Site

Abstract

We provide a generalization of a well known Krasnosel'skii theorem on continuity of the Nemytskii operator for functions taking values in separable Banach spaces. We follow the results obtained in Evans, Partial Differential Equations, Graduate Studies in Mathematics, Amer. Math. Soc., 1998 for the finite dimensional case.

Journal

Journal of Applied Analysisde Gruyter

Published: Jun 1, 2003

Keywords: Nemytskii operator; continuity; Krasnosel'skii theorem

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