ANALYSIS OF THERMOSTAT MODELS

We present two new models describing the dynamic behavior of an automo tive thermostat, involving delay-differential equations with hysteresi s. Existence, uniqueness, and regularity of the solutions for both mod els are obtained by a continuation argument. We establish sufficient c onditions for the models to exhibit intrinsic oscillations. We also pr esent an algorithm for numerical approximations of the solutions and g ive some representative numerical simulations. These reveal a rather i nteresting dynamical behavior of the solutions.