具有时迟的Volterra方程的周期解分歧现象

BIFURCATION OF PERIODIC SOLUTION IN VOLTERRA EQUATION WITH FINITE DELAY

本文考虑具有时迟的Ｖｏｌｔｅｒｒａ方程其中α，β，δ，γ为正常数．给出方程（Ｅ）出现周期解分歧现象的条件并给出重要参数μ（ε），Ｔ（ε），β（ε）的计算方法．

The authors investigate the following Volterra equation where α, β, δ, γ are positive constans. Some conditions under which bifurcation phenomenon occurs to the solutions of Equation (E), and the computaion formulae for determining the direction of the Hopf bifurcation are obtained.