On second-order differentiability with respect to parameters for differential equations with state-dependent delays
Dynamical Systems
2012-01-04 v1
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.
Keywords
Cite
@article{arxiv.1201.0269,
title = {On second-order differentiability with respect to parameters for differential equations with state-dependent delays},
author = {Ferenc Hartung},
journal= {arXiv preprint arXiv:1201.0269},
year = {2012}
}