摘要
本文用Ｒｏｕｃｈｅ定理建立起关于一般的超越函数的零点分布定理，以此定理为基础，结合应用吴建宏等用等变拓扑度理论建立起的一般泛函微分方程的Ｈｏｐｆ分支定理，研究了描述无损传输网络线路的中立型微分方程的零解的稳定性和全局Ｈｏｐｆ分支．
In this paper, we first establish a basic theorem on zeros of general transcendental functions. Based on the basic theorem, combining the global Hopf bifurcation theorem for general functional differential equations, which was established by Wu J. H. al using degree theory methods, we investigate the stability and global Hopf bifurcation for a lossless transmission line network which is described by a one delay differential-difference equation of neutral type.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2002年第1期93-104,共12页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(19831030)
加拿大自然科学与工程研究基金资助项目
