利用重合度理论中的延拓定理和不等式分析技巧,获得了一类具有多个偏差变元的p-Laplacian中立型泛函微分方程(φp(x(t)-cx(t-r))’)’-f(x(t-r(t)))x’(t=σ(t))+β(t)g(x(t-γ(t)))=e(t)的周期解存在性的充分条件,推广和改进了已有文献的相关结果.
By using a continuation theorem based on coincidence degree theory and inequality technique, some new sufficient conditions of periodic solutions are established for p-Laplacian type neutral differential equation with multiple deviating arguments as follows (φp(x(t)-cx(t-r))')'-f(x(t-r(t)))x'(t=σ(t))+β(t)g(x(t-γ(t)))=e(t)The results have extended and improved the related reports in the literatures