Ordinary differential systems describing hysteresis effects and numerical simulations

Abstract and Applied Analysis

Volumn 7, Issue 11, 2002, Pages 563-583

  Minchev, Emil ^a   Okazaki, Takanobu ^a   Kenmochi, Nobuyuki ^a  

^a CHIBA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25144466101     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/S108533750220603X     Document Type: Article

References (8)

1. P. Bénilan, Equations d'évolution dans un espace de Banach quelconque et applications, PhD. thesis, Univ. Paris-Sud, 1972.
2. M. Brokate and J. Sprekels, Hysteresis and Phase Transitions, Applied Mathematical Sciences, vol. 121, Springer-Verlag, New York, 1996.
3. P. Colli, N. Kenmochi, and M. Kubo, A phase-field model with temperature dependent constraint, J. Math. Anal. Appl. 256 (2001), no. 2, 668-685.
4. M. Hilpert, On uniqueness for evolution problems with hysteresis, Mathematical Models for Phase Change Problems (Óbidos, 1988) (J. F. Rodrigues, ed.), Internat. Ser. Numer. Math., vol. 88, Birkhäuser, Basel, 1989, pp. 377-388.
5. M. A. Krasnosel'skii and A. V Pokrovskii, Systems with Hysteresis, Springer-Verlag, Berlin, 1989, translated from the Russian by Marek Niezgódka.
6. P. Krejčí, Hysteresis operators-a new approach to evolution differential inequalities, Comment. Math. Univ. Carolin. 30 (1989), no. 3, 525-536.
7. A. Visintin, Differential Models of Hysteresis, Applied Mathematical Sciences, vol. III, Springer-Verlag, Berlin, 1994.
8. -, Models of Phase Transitions, Progress in Nonlinear Differential Equations and Their Applications, vol. 28, Birkhäuser Boston, Massachusetts, 1996.