Abstract
In this paper, we study the existence of periodic solutions for $n^{\text{th}}$ order functional differential equations $x^{ (n) } (t) +\sum\limits ^{n-1}_{i=0}b_{i}[x^{ (i) } (t) ]^{k}+ f (t, x (t-\tau) ) =p (t) $. Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin.
Citation
XingRong Chen. LiJun Pan. "Periodic solutions for $n^{\text{th}}$ order functional differential equations." Bull. Belg. Math. Soc. Simon Stevin 17 (1) 109 - 126, February 2010. https://doi.org/10.36045/bbms/1267798502
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