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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 489, Pages 36–54 (Mi znsl6918)  
Periodic solutions of parabolic equations with hysteresis in the dimension 1

A. Eninab, P. Perstnevaab, S. Tikhomirovc

a Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
b Saint Petersburg Electrotechnical University "LETI"
c Saint Petersburg State University
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Abstract: We consider the heat equation in the interval with non-ideal relay in the boundary condition. Thermostat is our prototype model. In the most important case of the location of measuring devices near the boundary of the interval we prove existence and stability of unimodal periodic solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2019-204
Gazprom Neft
Received: 24.12.2019
Document Type: Article
UDC: 517
Language: Russian
Citation: A. Enin, P. Perstneva, S. Tikhomirov, “Periodic solutions of parabolic equations with hysteresis in the dimension 1”, Boundary-value problems of mathematical physics and related problems of function theory. Part 48, Zap. Nauchn. Sem. POMI, 489, POMI, St. Petersburg, 2020, 36–54
Citation in format AMSBIB
\Bibitem{EniPerTik20}
\by A.~Enin, P.~Perstneva, S.~Tikhomirov
\paper Periodic solutions of parabolic equations with hysteresis in the dimension~1
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~48
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 489
\pages 36--54
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6918}
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