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A comparison theorem for Riccati equations and its application to simple hyperbolic boundary value problems - MaRDI portal

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A comparison theorem for Riccati equations and its application to simple hyperbolic boundary value problems (Q1262997)

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scientific article; zbMATH DE number 4125882
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English
A comparison theorem for Riccati equations and its application to simple hyperbolic boundary value problems
scientific article; zbMATH DE number 4125882

    Statements

    A comparison theorem for Riccati equations and its application to simple hyperbolic boundary value problems (English)
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    1988
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    The author proves a comparison theorem for Riccati equations and applies it to construct an integral representation of forward progressing solutions of simple hyperbolic boundary value problem. The integral representation shows that the forward progressing solution preserves its order of singularities along characteristic curves.
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    Riccati equations
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    singularities
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    characteristic curves
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