具有泛函扰动项的非线性微分方程解的渐近性态

对于具有泛函扰动项的非线性微分方程r(t)(?)(t)]′+a(t)y(t)=Φ((?),y_t)(1)和y~(n)(t)+a_(n-1)(t)y~(n-1)(t)+…+a_0(t)y(t)=Φ(t,y_t).(2)假设 r(t),a(t),a_i(t)(i=0,1,…,n-1)∈C(t_0,∞),r(t)>0,Φ为t_0+∞)×C→R 的连续泛函,这里 C=C(-τ,0],R),τ>0常数,y_t(θ)=y(t+θ),θ∈-τ,