高阶中立型泛函微分方程周期解的存在性

Existence of periodic solutions for higher order functional differential equations

运用相关文献的引理与Mawhin重合度拓展理论,对一类高阶中立型方程(x(t)-cx(t-r))(n)+h(x′(t))+f(x(t))x′(t)+g(t,x(t-τ(t)))=p(t)进行了研究,得到了该方程至少存在一个T周期解的一组新条件。

By using the lemma of related documents and the Mawhin coincidence degree theory, a kind of higher order functional differential equations as follows （x（t）-cx（t-r））（n）＋h（x′（t））＋f（x（t））x′（t）＋g（t,x（t-τ（t）））=p（t） is studied, some new conditions on the existence of periodic solutions were given.