Sequential dichotomies and uniformities for a neutral equation
Dynamical Systems
2025-11-21 v1
Abstract
Sequential dichotomies of general delay equations are not uniform, which was proved two decades ago. This however reminds whether the countably infinite many dichotomies of a neutral equation have the sequential uniformity. In this paper, considering a scalar neutral equation, we give a negative answer and prove that the series of the projections of dichotomies is divergent.
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@article{arxiv.2511.16199,
title = {Sequential dichotomies and uniformities for a neutral equation},
author = {Shuang Chen and Weinian Zhang},
journal= {arXiv preprint arXiv:2511.16199},
year = {2025}
}
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