Differential equations, hysteresis and time delay

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F02%3A00000081" target="_blank" >RIV/47813059:19610/02:00000081 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Differential equations, hysteresis and time delay

Original language description

The authors consider the following ordinary differential equation with hysteresis and time delay in the hysteresis term: $$ frac{du}{dt}={rm const}[F(u)](t-tau), $$ where $F$ is a hysteresis operator of the relay type. They also consider a partial differential equation with hysteresis in the boundary conditions. These equations describe thermostats. The existence of periodic solutions to both of the equations mentioned is proved. Moreover, the relationship between these equations is discussed.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

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

Name of the periodical

Zeitschrift für Angewandte Mathematik und Physik

ISSN

ISSN0044-2275

e-ISSN

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Volume of the periodical

53

Issue of the periodical within the volume

4

Country of publishing house

CH - SWITZERLAND

Number of pages

16

Pages from-to

676-691

UT code for WoS article

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EID of the result in the Scopus database

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