Periodic boundary value problem for integrodifferential equations of Hammerstein type (Q1097457)

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scientific article; zbMATH DE number 4034365
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Periodic boundary value problem for integrodifferential equations of Hammerstein type
scientific article; zbMATH DE number 4034365

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    Periodic boundary value problem for integrodifferential equations of Hammerstein type (English)
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    1988
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    The authors develop a general comparison result for a first order integrodifferential inequality of Hammerstein type with periodic boundary condition. It is then used to construct monotone sequences to yield the maximal and minimal solutions of a given periodic boundary value problem of a first order integrodifferential equation of Hammerstein type, in which the increasingness of the right hand side function in the argument containing the integral operator is not assumed.
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    first order integrodifferential inequality of Hammerstein type
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    periodic boundary condition
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    maximal and minimal
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