Sequential dichotomies and uniformities for a neutral equation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915628479152128 |
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| author | Chen, Shuang Zhang, Weinian |
| author_facet | Chen, Shuang Zhang, Weinian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16199 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sequential dichotomies and uniformities for a neutral equation Chen, Shuang Zhang, Weinian Dynamical Systems 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. |
| title | Sequential dichotomies and uniformities for a neutral equation |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2511.16199 |