# Article

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Keywords:
delay differential equations; periodic solution; coincidence degree
Summary:
By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions for $n$ th order delay differential equations with damping terms $x^{(n)}(t)=\sum \limits ^{s}_{i=1}b_{i}[x^{(i)}(t)]^{2k-1}+ f(x(t-\tau (t)))+p(t)$. Some new results on the existence of periodic solutions of the investigated equation are obtained.
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