Abstract
The purpose of this note is to provide some concrete existence criteria for Hopf bifurcations of the second-order functional differential equations with infinite delay (?)(t)=A(k)x(t)+B(k)integral from -∞ to 0 (C(τ)x(t+τ)dτ+f(k,x(·))), where x∈R~2, t≥0, A, B and C are 2×2 real matrices sufficiently smooth in k∈Rorτ∈(-∞, 0], f(k,x(·)) is a nonlinear functional of high-order terms of x|(-∞,t] parameterized by k,
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