Periodic solutions and asymptotic behavior of a PDE with hysteresis
Result description
A parabolic PDE with hysteresis in the source term is considered. The existence of periodic solutions for a general hysteresis operator is proven and an asymptotic result for solutions of this equation, using ideas due to Krejčí, is obtained.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Periodic solutions and asymptotic behavior of a PDE with hysteresis
Original language description
A parabolic PDE with hysteresis in the source term is considered. The existence of periodic solutions for a general hysteresis operator is proven and an asymptotic result for solutions of this equation, using ideas due to Krejčí, is obtained.
Czech name
Periodická řešení a asymptotické vlastnosti PDE s hysterezí
Czech description
Zkoumá se parabolická PDE s hysterezí ve zdrojovém členu. Je dokázaný výsledek pro řešení této rovnice. Důkaz využívá postupy P. Krejčího.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Rocky Mountain Journal of Mathematics
ISSN
0035-7596
e-ISSN
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Volume of the periodical
36
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
539-554
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2006