一类具有偏差变元的Duffing型方程的周期解

Periodic Solutions for a Duffing-type Equation with Deviating Arguments

利用重合度理论研究了一类具偏差变元的Duffing型方程x′′+g(t,x(t?τ(t)))=p(t).获得了该方程存在ω-周期解的若干新结论,改进推广了有关文献中的已有结果.

New results is established on the existence of ω-periodic solutions for the Duffing-type equation with delays x^n＋g（t,x（t-τ）（t）））=p（t） by the coincidence degree theory. The results improve and extend some existing ones in the literature.