一类二阶时滞微分方程多个周期解的存在性

Existence of Multiple Periodic Solutions for a Second-order Delayed Differential Equation

本文应用重合度定理研究了一类二阶时滞微分方程的多个周期解存在性问题,这类方程的形式为x"(t)+f(t,x(t),x(t-τ(t)))[x'(t)]n+g(t,x(t))=p(t),作为应用,举出了应用实例.

By applying the continuation theorem of coincidence degree theory, the existence of multiple periodic solutions for a second-order delayed differential equation of the form x（t）＋f（t,x（t）,x（t-τ（t）））[x（t）]n＋g（t,x（t））=p（t）is established. As an application, an examples is given.