摘要
利用Liapunov泛函的方法,以(C_g,|·|_g)空间为相空间,研究了具有无限时滞的中立型泛函微分方程解的有界性,得到方程解的指数渐近稳定性蕴含有界解的存在性,建立了有界解的存在性定理.
The boundedness of solutions to neutral functional differential equations with infinite delay is studied in the phase space （Cg,｜·｜g） by Liapunov functional method. It has been proved that the expo nentially asymptotic stability of solutions implies the existence of bounded solutions, and the theorem of the existence of bounded solutions is established.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
北大核心
2015年第6期754-756,760,共4页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
河北省教育厅项目(Z2011333)
关键词
无限时滞
中立型泛函微分方程
指数渐近稳定性
有界性
infinite delay
neutral functional differential equations
exponentially asymptotic stability
boundedness
