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New asymptotic study on the non-autonomous NFDEs involving Haddock conjecture

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成果类型:
期刊论文
作者:
Wang, Qian
通讯作者:
Wang, Q
作者机构:
[Wang, Q; Wang, Qian] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
通讯机构:
[Wang, Q ] C
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
语种:
英文
关键词:
Non-autonomous NFDEs;Haddock conjecture;Time-varying delay;Convergence
期刊:
Applied Mathematics Letters
ISSN:
0893-9659
年:
2025
卷:
163
页码:
109410
基金类别:
Changchun University of Science and Technology#&#&#CLKYCX24076
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
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. The classical Haddock conjecture is extended to a kind of non-autonomous neutral functional differential equ...

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