Continuity properties of Prandtl-Ishlinskii operators in the space of regulated functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00477756" target="_blank" >RIV/67985840:_____/17:00477756 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdsb.2017190" target="_blank" >http://dx.doi.org/10.3934/dcdsb.2017190</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2017190" target="_blank" >10.3934/dcdsb.2017190</a>

Result language
angličtina
Original language name
Continuity properties of Prandtl-Ishlinskii operators in the space of regulated functions
Original language description
It is well known that the Prandtl-Ishlinskii hysteresis operator is locally Lipschitz continuous in the space of continuous functions provided its primary response curve is convex or concave. This property can easily be extended to any absolutely continuous primary response curve with derivative of locally bounded variation. Under the same condition, the Prandtl-Ishlinskii operator in the Kurzweil integral setting is locally Lipschitz continuous also in the space of regulated functions. This paper shows that the Prandtl-Ishlinskii operator is still continuous if the primary response curve is only monotone and continuous, and that it may not even be locally Hölder continuous for continuously differentiable primary response curves.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA15-12227S" target="_blank" >GA15-12227S: Analysis of mathematical models of multifunctional materials with hysteresis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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