一类时滞微分方程周期解的存在性

On existence of periodic solution for a Class of second order differential equations

采用更精确的先验估计,利用重合度理论研究了Duffing型微分方程a(t)+bx(t)+g(x(t-τ))=p(t),获得此方程至少存在一个2π-周期解的充分条件。

By using the topological degree and better prior estimate, periodic solution of Duffing equation ax (t) + bx(t) + g(x (t-τ)) = p(t) are studied, sufficient condition for the existence of 2π ? periodic solution are obtained