The classical Haddock conjecture is extended to a kind of non-autonomous neutral functional differential equations (NFDEs) incorporating time-varying delays in this paper. By using the Dini derivative theory and inequality analyses, without requiring the strictly monotonically increasing property of the delay feedback function, it is demonstrated that every solution of the considered NFDEs is bounded and converges to a constant, which fully refines and generalizes the existing findings.

中文翻译：

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涉及 Haddock 猜想的非自主 NFDE 的新渐近研究


在本文中，经典的 Haddock 猜想被扩展到一种包含时变延迟的非自主中性泛函微分方程 （NFDEs）。通过使用 Dini 导数理论和不等式分析，不需要延迟反馈函数的严格单调递增属性，证明了所考虑的 NFDEs 的每个解都是有界的并收敛到一个常数，这充分提炼和概括了现有发现。