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Periodic boundary value problem for a second order integrodifferential equation of Hammerstein type - MaRDI portal

Periodic boundary value problem for a second order integrodifferential equation of Hammerstein type (Q1116036)

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scientific article; zbMATH DE number 4088249
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Periodic boundary value problem for a second order integrodifferential equation of Hammerstein type
scientific article; zbMATH DE number 4088249

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    Periodic boundary value problem for a second order integrodifferential equation of Hammerstein type (English)
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    1988
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    The authors prove a comparison result dealing with a second order integrodifferential inequality of Hammerstein type with periodic boundary conditions and then obtain the extremal solutions of a corresponding second order integrodifferential equation without increasingness assumption on the integral operator as limits of monotone iterates. An application is given to a fourth order mixed boundary value problem.
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    second order integrodifferential inequality of Hammerstein type
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    periodic boundary conditions
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    extremal solutions
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    fourth order mixed boundary value problem
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