一类三阶泛函微分方程周期解的存在唯一性

Existence and Uniqueness of Perodic Solution for a Third Order Functional Differential Equation

利用重合度理论研究了一类三阶泛函微分方程x′′′(t)+multiply from i=1 to 2[a_ix^((i))+b_ix^((i))(t-τ_i)]+ g_1(x(t))+g_2(x(t-τ))=p(t)的2π-周期解问题,获得了该方程2π-周期解存在唯一性的若干新结论.

In this paper,A type of third order functional differential equation x′′′(t) +■[a_ix^((i)) + b_ix^((i))(t-τ_i)]+g_1(x(t))+g_2(x(t-τ)) = p(t) is considered.The sufficient condition for the existance of unique 2π-periodic solution is obtained.