The method of mixed monotony and second order boundary value problems (Q1083597)

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scientific article; zbMATH DE number 3975386
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The method of mixed monotony and second order boundary value problems
scientific article; zbMATH DE number 3975386

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    The method of mixed monotony and second order boundary value problems (English)
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    1986
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    We develop a technique which we call the method of mixed monotony that investigates the question whether it is possible to construct monotone sequences that converge to a solution of initial and periodic boundary value problems for first order differential systems even when the right- hand side function f does not possess any monotone properties. Of course, it is well known that if f satisfies certain mixed quasimonotone properties such construction is possible.
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    second order boundary
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    method of mixed monotony
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    periodic boundary value problems
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    first order differential systems
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