On second-order differentiability with respect to parameters for differential equations with state-dependent delays

Ferenc Hartung

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arXiv · 1201.0269

On second-order differentiability with respect to parameters for differential equations with state-dependent delays

Ferenc Hartung

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Abstract

In this paper we consider a class of differential equations with state-dependent delays. We show first and second-order differentiability of the solution with respect to parameters in a pointwise sense and also using the C-norm on the state-space, assuming that the state-dependent time lag function is piecewise strictly monotone.

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BibTeX RIS

Ferenc Hartung. 2011-12-31. On second-order differentiability with respect to parameters for differential equations with state-dependent delays. https://arxiv.org/abs/1201.0269

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