Article Contents
Article Contents

# Periodic solutions of parabolic problems with hysteresis on the boundary

• We consider a parabolic problem with discontinuous hysteresis on the boundary, arising in modelling various thermal control processes. By reducing the problem to an infinite dynamical system, sufficient conditions for the existence and uniqueness of a periodic solution are found. Global stability of the periodic solution is proved.
Mathematics Subject Classification: Primary: 35K10, 47J40, 35B10; Secondary: 35B41.

 Citation:

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