一类时滞Duffing型方程周期解的存在性

The Existence of Periodic Solution of a Duffing Equation with Delay

本文考虑Duffing型方程■+f(x(t))+g(x(t-τ))=p(t),利用分析的技巧和非紧性测度的k-集压缩定理,得到了此方程至少存在一个T周期解的充分判据.

This paper investigates the Duffing equation x＋f（x（t））＋g（x（t-τ））=p（t）. By using tho method of analyrical techniques and measure of non - compactness, some sufficient conditions are obtained for the existence of at least one T periodic solution.