Periodic solutions for $n^{\text{th}}$ order functional differential equations
Pan, LiJun ; Chen, XingRong
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 109-126 / Harvested from Project Euclid
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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.
Publié le : 2010-02-15
Classification:  Functional differential equations,  Periodic solution,  Coincidence degree,  34K13 
@article{1267798502,
     author = {Pan, LiJun and Chen, XingRong},
     title = {Periodic solutions for $n^{\text{th}}$ order functional 
 differential equations},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 109-126},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1267798502}
}

Pan, LiJun; Chen, XingRong. Periodic solutions for $n^{\text{th}}$ order functional 
 differential equations. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  109-126. http://gdmltest.u-ga.fr/item/1267798502/