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Evolution hemivariational inequality with hysteresis operator in higher order term

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Abstract

The authors study evolution hemivariational inequalities of semilinear type containing a hysteresis operator. For such problems we establish an existence result by reducing the order of the equation and then by the use of the time-discretization procedure.

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Authors and Affiliations

  1. Institute of Computer Science, Jagiellonian University, Nawojki 11, 30072, Kraków, Poland

    Leszek Gasiński

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  1. Leszek Gasiński
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Correspondence to Leszek Gasiński.

Additional information

This paper is partially supported by the KBN grants nr. 2 P03A 003 25 and nr. 4 T07A 027 26

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Gasiński, L. Evolution hemivariational inequality with hysteresis operator in higher order term. Acta. Math. Sin.-English Ser. 24, 107–120 (2008). https://doi.org/10.1007/s10114-007-0997-6

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  • DOI: https://doi.org/10.1007/s10114-007-0997-6

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