一类具有偏差变元的非线性中立型微分方程周期解的存在性(英文)

Existence of Periodic Solutions of Nonlinear Neutral Differential Equation with Deviating Argument

利用k 集压缩算子拓扑度抽象连续定理和某些分析技巧 ,讨论了一类非线性中立型时滞微分方程x′(t)=f(x ,x(t) ,x(t-τ1(t) ) ,x′(t-τ2 (t) ) ) +p(t)的周期解问题 ,得到了其周期解存在的充分条件 .

Existence criteria is established for the periodic solution of the nonlinear neutral delay differential equation x′(t)=f(t,x(t),x(t-τ 1(t)),x′(t-τ 2(t)))+p(t) by means of an abstract continuous theorem of k-set contractive operator and some analysis technique.