A Leray-Schauder Alternative for Mönch Maps on Closed Subsets of Fréchet Spaces | Zendy

Marlène Frigon | Zendy; Donal O’Regan | Zendy

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A Leray-Schauder Alternative for Mönch Maps on Closed Subsets of Fréchet Spaces

Author(s) -

Marlène Frigon,

Donal O’Regan

Publication year - 2002

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1106

Subject(s) - mathematics , continuation , regular polygon , space (punctuation) , pure mathematics , order (exchange) , type (biology) , mathematical analysis , geometry , computer science , ecology , finance , economics , biology , programming language , operating system

In this paper, a continuation principle is obtained for maps defined on a closed, convex subset which may have empty interior in a Fréchet space, and satisfying a condition of Mönch type. An application to first order systems of differential equations is presented to illustrate our theory.

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