Existence and comparison results for operator and differential equations in abstract spaces (Q1856874)
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scientific article; zbMATH DE number 1866647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and comparison results for operator and differential equations in abstract spaces |
scientific article; zbMATH DE number 1866647 |
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Existence and comparison results for operator and differential equations in abstract spaces (English)
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11 February 2003
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The author proves a fixed-point theorem for increasing mappings \(G:P\to P\) (\(P\) a partially ordered set), together with monotone increasing dependence of selected fixed-points with respect to \(G\). The results are applied to discontinuous implicit functional-differential equations in ordered Banach spaces. Existence and comparison results are established, and several examples are discussed.
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fixed-point theorem
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partially ordered sets
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functional-differential equations
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