State-dependent delays

Hans-Otto Walther

Justus-Liebig-Universität Gießen, Mathematisches Institut, Gießen, Germany

Differential with state-dependent delays are not covered by the standard theory for equations with constant time lags. We explain why and describe basic results on well-posedness for the initial value problem and on linearization for the case of state-dependent delays. Applications will also be addressed.

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