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On explicit and implicit operator and differential inclusions in ordered spaces - MaRDI portal

On explicit and implicit operator and differential inclusions in ordered spaces (Q1763686)

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scientific article; zbMATH DE number 2136551
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English
On explicit and implicit operator and differential inclusions in ordered spaces
scientific article; zbMATH DE number 2136551

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    On explicit and implicit operator and differential inclusions in ordered spaces (English)
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    22 February 2005
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    The author applies fixed point theorems derived in [J. Math. Anal. Appl. 292, No. 1, 262--273 (2004; Zbl 1072.47057)] to prove existence results for the inclusion problem \(Lu\in Nu\) in ordered topological vector spaces and applies the obtained results to operator inclusions in ordered Banach spaces and to functional differential inclusions of explicit and implicit type.
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    inclusion problem
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    multifunction
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    ordered topological vector space
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    ordered Banach space
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    weak topology
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    sup-center
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    inf-center
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    order center
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    differential inclusion
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