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Title: Hysteresis operators - a new approach to evolution differential inequalities (English)
Author: Krejčí, Pavel
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 30
Issue: 3
Year: 1989
Pages: 525-536
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Category: math
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MSC: 35R35
MSC: 35R45
MSC: 47H15
MSC: 47J05
MSC: 73F15
idZBL: Zbl 0699.35270
idMR: MR1031870
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Date available: 2008-06-05T21:39:54Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106774
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Reference: [1] Brokate M.: Some BV-properties of the Preisach hysteresis operators.Preprint. MR 1030097
Reference: [2] Brokate M., Visintin A.: Properties of the Preisach model for hysteresis.Preprint. Zbl 0682.47034, MR 1022792
Reference: [3] Duvaut G., Lions J.-L.: Les inéquations en mécanique et en physique.Dunod, Paris, 1972. Zbl 0298.73001, MR 0464857
Reference: [4] Krasnoselskii M. A., Pokrovskii A. V.: Systems with hysteresis.(Russian), Nauka, Moscow, 1983. MR 0742931
Reference: [5] Krejčí P.: Hysterisis and periodic solutions to semilinear and quasilinear wave equations.Math. Z. 193 (1986), 247-264. MR 0856153
Reference: [6] Krejčí P.: On Ishlinskii's model for non-perfectly elastic bodies.Apl. Mat. 33 (1988), 133-144. MR 0940712
Reference: [7] Krejčí P.: A monotonicity method for solving hyperbolic problems with hysteresis.Apl. Mat. 33 (1988), 197-203. MR 0944783
Reference: [8] Krejčí P.: Existence and large time behaviour of solutions to equations with hysteresis.Preprint MU ČSAV 21 (1986).
Reference: [9] Krejčí P.: On Maxwell equations with the Preisach hysteresis operator: the one-dimensional time-periodic case.Apl. Mat. 34 (1989,), no. 3 (in print). MR 1014077
Reference: [10] Krejčí P., Lovicar V.: Continuity of hysteresis operators in Sobolev spaces.Apl. Mat. (to appear). MR 1039411
Reference: [11] Visintin A.: On the Preisach model for hysteresis.Nonlin. Anal. 9 (1984), 977-996. Zbl 0563.35007, MR 0760191
Reference: [12] Visintin A.: Rheological models and hysteresis effects.Rend. Sem. Mat. Univ. Padova 77 (1987), 213-243. Zbl 0633.73001, MR 0904623
Reference: [13] Hilpert M.: On uniqueness for evolution problems with hysteresis.Report No. 119, Universität Augsburg, 1989. Zbl 0701.35009, MR 1038080
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