Stability results for a soil model with singular hysteretic hydrology
نویسندگان
چکیده
We consider a di erential equation describing the mass balance in a soil hydrology model with noninvertible Preisach-type hysteresis. We approximate the singular Preisach operator by regular ones and show, as main result, that the solutions of the regularized problem converge to a solution of the original one as the regularization parameter tends to zero. For monotone right hand sides, we prove that the solution is unique. If in addition the external water sources are time periodic, then we nd su cient conditions for the existence, uniqueness, and asymptotic stability of periodic solutions.
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