TY - JOUR
T1 - The Hopf Bifurcation for an Abstract Functional Differential Equation and Its Application
AU - Lei Yansong
JO - Journal of Partial Differential Equations
VL - 3
SP - 24
EP - 38
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5803.html
KW - Hopf bifurcation
KW -  Functional differential equation
AB -  ln this peper we obtained the Hopf bifurcation theorem for an abstract functional differential equation by the results of [1]. The asymptotic expression of bifurcation formulae and stability condition were given in detail. Applying the result, we considered the Hopf bifurcation problem for a reaction-diffusion equation with time delay.