本文通过度理论,研究了如下的中立型微分方程的反周期解(u(t)-ku(t-r))″=f(u′(t))+g(u(t-τ(t)))+p(t),得到了关于反周期解存在性和唯一性的新结果.本文所探讨的方程和使用的方法和已有的文献都有所不同.
We use the Leray-Schauder degree theory to establish some new results on the anti-peri- odic solution for a kind of neutral differential equations. The main results are related the neutral e- quation and new method,which are all different from the known literature.