摘要
利用Banach不动点方法,研究非线性时滞微分方程在C1空间上零解的全局渐近稳定性.之前,几乎所有学者在研究非线性时滞微分方程零解稳定性时,都要求中立项系数c可微和时滞τ2二次可微,且τ2′≠1.与大多数学者研究的方法不相同,所得定理仅要求c和τ2连续,推广和改进了前人研究的结果,并给出了一个例子说明结论的有效性.
By using the fixed point theory,the strict theorem for the global asymptotic stability of zero solutions of nonlinear differential equations with delays in C^1 is studied.Before,almost all scholars studied the stability of zero solutions of nonlinear differential equations with delay,they required that the neutral coefficient c be differentiable and the delayτ2 quadratic differentiable,andτ2′≠1.Unlike the methods studied by most scholars,the obtained theorem only requires c andτ2 to be Continuous.In addition,the results of previous studies are generalized and improved,an example is given to illustrate the validity of the conclusions.
作者
黄明辉
刘君
HUANG Ming-hui;LIU Jun(Mathematics Teaching and Research Department,Guangzhou City Construction College,Guangzhou 510925,China)
出处
《青海师范大学学报(自然科学版)》
2019年第3期12-16,共5页
Journal of Qinghai Normal University(Natural Science Edition)
基金
国家自然科学基金(61773128)
关键词
非线性
不动点定理
全局渐近稳定性
nonlinear
fixed point theory
global asymptotic stability