一类多偏差变元的二阶微分方程周期解

Periodic Solution to Some Second Order Differential Equation with Multiple Deviating Arguments

本文利用重合度理论研究了一类二阶多偏差变元的微分方程x″(t)+f(t,x(t),x(t-τ0(t)),x′(t))+∑ from j=1 to n g(x(t-τj(t)))=p(t)的周期解问题,得到了存在周期解的新的结果.

By means of continuation theorem of coincidence degree theory, the authors study a class of second order differential equation with multiple deviating arguments x＂（t）＋f（t,x（t）,x（t-τ0（t））,x＇（t））＋∑nj=1g（x（t-τj（t）））=p（t） Some new results on the existence f periodic solution are obtained.