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

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

2011-12-31

arxiv.org/abs/1201.0269v1

Mathematics

Dynamical Systems

Scientific paper

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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