Hysteresis operators - a new approach to evolution differential inequalities
Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 3, pp. 525-536 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 35R35, 35R45, 47H15, 47J05, 73F15
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Krejčí, Pavel. Hysteresis operators - a new approach to evolution differential inequalities. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 3, pp. 525-536. http://geodesic.mathdoc.fr/item/CMUC_1989_30_3_a11/

[1] Brokate M.: Some BV-properties of the Preisach hysteresis operators. Preprint. | MR

[2] Brokate M., Visintin A.: Properties of the Preisach model for hysteresis. Preprint. | MR | Zbl

[3] Duvaut G., Lions J.-L.: Les inéquations en mécanique et en physique. Dunod, Paris, 1972. | MR | Zbl

[4] Krasnoselskii M. A., Pokrovskii A. V.: Systems with hysteresis. (Russian), Nauka, Moscow, 1983. | MR

[5] Krejčí P.: Hysterisis and periodic solutions to semilinear and quasilinear wave equations. Math. Z. 193 (1986), 247-264. | MR

[6] Krejčí P.: On Ishlinskii's model for non-perfectly elastic bodies. Apl. Mat. 33 (1988), 133-144. | MR

[7] Krejčí P.: A monotonicity method for solving hyperbolic problems with hysteresis. Apl. Mat. 33 (1988), 197-203. | MR

[8] Krejčí P.: Existence and large time behaviour of solutions to equations with hysteresis. Preprint MU ČSAV 21 (1986).

[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

[10] Krejčí P., Lovicar V.: Continuity of hysteresis operators in Sobolev spaces. Apl. Mat. (to appear). | MR

[11] Visintin A.: On the Preisach model for hysteresis. Nonlin. Anal. 9 (1984), 977-996. | MR | Zbl

[12] Visintin A.: Rheological models and hysteresis effects. Rend. Sem. Mat. Univ. Padova 77 (1987), 213-243. | MR | Zbl

[13] Hilpert M.: On uniqueness for evolution problems with hysteresis. Report No. 119, Universität Augsburg, 1989. | MR | Zbl