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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA15-12227S" target="_blank" >GA15-12227S: Analýza matematických modelů multifunkčních materiálů s hysterezí</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Discrete and Continuous Dynamical Systems-Series B

ISSN

1531-3492

e-ISSN

—

Svazek periodika

22

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

3783-3795

Kód UT WoS článku

000409969500010

EID výsledku v databázi Scopus

2-s2.0-85028706646