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Hysteresis operators - a new approach to evolution differential inequalities. (English) Zbl 0699.35270
The hysteresis effects appear in a natural way in mathematical problems leading to evolution differential inequalities. This observation is formulated by means of hysteresis or relaxation-hysteresis operators. Examples (phase transitions, elasto-plastic vibrations) illustrate the typical situations where these operators can be used.
Reviewer: C.F.Wang

MSC:
35R45 Partial differential inequalities and systems of partial differential inequalities
47J05 Equations involving nonlinear operators (general)
35R35 Free boundary problems for PDEs
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