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Differentiability of Solutions with Respect to the Initial Data in Differential Equations with State-dependent Delays

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Abstract

In this paper we consider a class of differential equations with state-dependent delays. We show differentiability of the solution with respect to the initial function and the initial time for each fixed time value assuming that the state-dependent time lag function is strictly monotone increasing.

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  1. Department of Mathematics, University of Pannonia, P.O. Box 158, 8201, Veszprém, Hungary

    Ferenc Hartung

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  1. Ferenc Hartung
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Correspondence to Ferenc Hartung.

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Hartung, F. Differentiability of Solutions with Respect to the Initial Data in Differential Equations with State-dependent Delays. J Dyn Diff Equat 23, 843–884 (2011). https://doi.org/10.1007/s10884-011-9218-1

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  • DOI: https://doi.org/10.1007/s10884-011-9218-1

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