On the structure of fixed point sets of compact maps in \(B_ 0\) spaces with applications to integral and differential equations in unbounded domain (Q806023)
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scientific article; zbMATH DE number 4205208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of fixed point sets of compact maps in \(B_ 0\) spaces with applications to integral and differential equations in unbounded domain |
scientific article; zbMATH DE number 4205208 |
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On the structure of fixed point sets of compact maps in \(B_ 0\) spaces with applications to integral and differential equations in unbounded domain (English)
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1991
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The authors prove two generalizations of the Krasnosel'skij-Perov theorem on the connectedness of the fixed point set of compact operators. The extension refers to the case of operators in locally convex spaces and is based on Nagumo's extension of the Leray-Schauder degree. Applications are given to the Darboux problem of an hyperbolic equation, and the structure of the fixed point set of a nonlinear Uryson integral operator.
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Krasnosel'skij-Perov theorem
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fixed point set of compact operators
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operators in locally convex spaces
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Nagumo's extension of the Leray- Schauder degree
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Darboux problem of an hyperbolic equation
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structure of the fixed point set of a nonlinear Uryson integral operator
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