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An inversion formula for a Prandtl-Ishlinskii operator with time dependent thresholds
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SYSNO ASEP 0359278 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title An inversion formula for a Prandtl-Ishlinskii operator with time dependent thresholds Author(s) Al Janaideh, M. (JO)
Krejčí, Pavel (MU-W) RID, SAI, ORCIDSource Title Physica B-Condensed Matter. - : Elsevier - ISSN 0921-4526
Roč. 406, č. 8 (2011), s. 1528-1532Number of pages 5 s. Language eng - English Country NL - Netherlands Keywords hysteresis ; Prandtl-Ishlinskii operator ; inversion formula ; time dependent thresholds Subject RIV BA - General Mathematics R&D Projects GAP201/10/2315 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000289060100033 EID SCOPUS 79952445170 DOI 10.1016/j.physb.2011.01.062 Annotation We extend the well-known inversion result for Prandtl-Ishlinskii operators to the case of time dependent thresholds. The exact inversion formula is shown to hold under the condition that the distances between the thresholds do not decrease in time. Examples show that this threshold dilation condition cannot be completely omitted. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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