摘要
利用数学分析技巧证明了一类常微分方程初值问题解的左侧唯一性,并在此基础上借助Dini导数理论和微分不等式技巧建立了具有无界时滞的二维非自治微分方程组解的收敛性,在一定程度上推广了Bernfeld-Haddock猜想,同时补充和完善了文献[数学学报,1990,33:353-358]的全部结果。
In this paper,the left-hand uniqueness of the solution to the initial value problem for a class of ordinary differential equations is proved using mathematical analysis techniques,based on this,the convergence of solutions to two-dimensional non-autonomous differential equations with unbounded time delay is established through Dini derivative theory and differential inequality techniques,which popularizes the Bernfeld-Haddock conjecture to a certain extent,and simultaneously supplements and improves upon all the results in the literature[Acta Mathematica Sinica,1990,33:353-358].
作者
曾渭
ZENG Wei(School of Mathematics and Statistics,Changsha University of Science&Technology,Changsha 410114,China)
出处
《湖南文理学院学报(自然科学版)》
2025年第1期1-6,共6页
Journal of Hunan University of Arts and Science(Science and Technology)
基金
国家自然科学基金(11971076)。
