Notes on solution maps of abstract FDEs
Analysis of PDEs
2017-01-04 v1
Abstract
It is shown that the solution maps of an abstract functional differential equations (FDEs) are -contractions in the phase space equipped with an equivalent norm under appropriate assumptions. This result can be applied to time-delayed reaction-diffusion equations and other evolution systems with time delay.
Cite
@article{arxiv.1701.00730,
title = {Notes on solution maps of abstract FDEs},
author = {Xiao-Qiang Zhao},
journal= {arXiv preprint arXiv:1701.00730},
year = {2017}
}