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Weak differentiability of scalar hysteresis operators
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SYSNO ASEP 0439234 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Weak differentiability of scalar hysteresis operators Author(s) Brokate, M. (DE)
Krejčí, Pavel (MU-W) RID, SAI, ORCIDSource Title Discrete and Continuous Dynamical Systems. - : AIMS Press - ISSN 1078-0947
Roč. 35, č. 6 (2015), s. 2405-2421Number of pages 17 s. Language eng - English Country US - United States Keywords hysteresis ; differentiability ; variational inequality Subject RIV BA - General Mathematics R&D Projects GAP201/10/2315 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000349678300003 EID SCOPUS 84920053841 DOI 10.3934/dcds.2015.35.2405 Annotation Rate independent evolutions can be formulated as operators, called hysteresis operators, between suitable function spaces. In this paper, we present some results concerning the existence and the form of directional derivatives and of Hadamard derivatives of such operators in the scalar case, that is, when the driving (input) function is a scalar function. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2016
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