Second order differential inequalities in Banach spaces (Q2759185)

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scientific article; zbMATH DE number 1681018
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Second order differential inequalities in Banach spaces
scientific article; zbMATH DE number 1681018

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    Second order differential inequalities in Banach spaces (English)
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    11 December 2001
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    differential inequality
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    ordered normed space
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    Tarski's fixed-point theorem
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    Here, some monotonicity results for solutions to second-order ordinary differential inequalities in ordered normed spaces are derived. By using the variants of Tarski's fixed-point theorem, an existence theorem for Dirichlet boundary value problems are obtained.
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