Geodesic
Hysteresis memory preserving operators
Applications of Mathematics, Tome 36 (1991) no. 4, pp. 305-326

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MR Zbl
The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators). For a general memory preserving operator we derive an energy inequality.
The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators). For a general memory preserving operator we derive an energy inequality.
DOI : 10.21136/AM.1991.104468
Classification : 35R45, 47H30, 58C07, 58D25, 58D30
Keywords: hysteresis memory; Preisach operators; memory preserving operators; energy inequality; hysteresis operators; Prandtl model; Ishlinskij model; moving model 
Krejčí, Pavel. Hysteresis memory preserving operators. Applications of Mathematics, Tome 36 (1991) no. 4, pp. 305-326. doi: 10.21136/AM.1991.104468
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