Evolution hemivariational inequality with hysteresis operator in higher order term (Q928240)

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scientific article; zbMATH DE number 5286522
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Evolution hemivariational inequality with hysteresis operator in higher order term
scientific article; zbMATH DE number 5286522

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    Evolution hemivariational inequality with hysteresis operator in higher order term (English)
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    11 June 2008
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    The author studies an evolutive hemivariational inequality in Banach spaces, where the second time-derivative of the unknown function and the first time-derivative of a hysteresis term appear. He gives an existence result. The method used consists in a reduction of order, via a suitable integral transformation, and then in time-discretization and passage to the limit.
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    evolution hemivariational inequality
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    Clarke subdifferential
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    hysteresis operator, time-discretization method
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