【摘要】 研究了一类具有两个离散时滞的中立型Logistic微分方程dy(t)dt=ry(t)1-y(t-τ1)dt1-y(t-τ2)k+cdk的Hopf分支,其中τ1,τ2不相等且不同时为零.首先给出零解局部稳定的定理和超越方程零点分布的一般理论,再选择一个时滞为分支参数来分析其特征方程,证明Hopf分支的存在性,并找到了分支点.更多还原

【Abstract】 The purpose of this paper is to study a class first order linear neutral delay differential equation with two constant delaysdy（t）dt=ry（t）1-y（t-τ₁）k+cddt1-y（t-τ₂）k,where the two constant delays is not equivalent.First giving the local stability of the zero solution and the general result of the distribution of zero about the transcendental equation. Then,choosing one of the delays as a bifurcation parameter this paper show that the equation exhibits the Hopf bufurcation by analysis the characteristic equation.更多还原