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arXiv · 2511.16199

Sequential dichotomies and uniformities for a neutral equation

Shuang Chen·Weinian Zhang
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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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Shuang Chen, Weinian Zhang. 2025-11-20. Sequential dichotomies and uniformities for a neutral equation. https://arxiv.org/abs/2511.16199

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