Periodic solutions of convex neutral functional differential equations
Fan, Meng ; Wang, Ke
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 47-59 / Harvested from Project Euclid
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In this paper we consider the existence of periodic solutions of neutral functional differential equations. It has been proved that for convex neutral functional differential equations of $D$-operator type with finite (or infinite) delay and hyperneutral functional differential equations with finite delay, there is a periodic solution if and only if there is a bounded solution. The results proved by Massera, Chow and Makay are generalized.
Publié le : 2000-05-14
Classification:  Convex neutral functional differential equation,  bounded solution,  periodic solution,  necessary and sufficient condition,  34K13,  34K40 
@article{1178224657,
     author = {Fan, Meng and Wang, Ke},
     title = {Periodic solutions of convex neutral functional differential equations},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 47-59},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178224657}
}

Fan, Meng; Wang, Ke. Periodic solutions of convex neutral functional differential equations. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  47-59. http://gdmltest.u-ga.fr/item/1178224657/