本文研究二阶非自治迭代泛函微分方程x＇＇（t）=a（t）x（t）+b（t）x（x（t））的强解的存在性及其性态,给出了过区域{（t,x）|0

The paper studies the behavior and existence of strong solutions to the second order non-autonomous functional differential-iterative equation x"(t)=a(t)x(t)+ b(t)x(x(t)), gives the condition of existence of strong solutions across any point of the region {(t,x)|0 < x ≤ t}, and obtains the conclusion there are maximal strong solutions across any point of the set {(t, x)| 0 < x=t}.