Periodic solutions of convex neutral functional differential equations

Authors
Citation
M. Fan et K. Wang, Periodic solutions of convex neutral functional differential equations, TOHOKU MATH, 52(1), 2000, pp. 47-59
Citations number
21
Categorie Soggetti
Mathematics
Journal title
TOHOKU MATHEMATICAL JOURNAL
ISSN journal
00408735 → ACNP
Volume
52
Issue
1
Year of publication
2000
Pages
47 - 59
Database
ISI
SICI code
0040-8735(200003)52:1<47:PSOCNF>2.0.ZU;2-L
Abstract
In this paper we consider the existence of periodic solutions of neutral fu nctional differential equations. It has been proved that for convex neutral functional differential equations of D-operator type with finite (or infin ite) delay and hyperneutral functional differential equations with finite d elay, there is a periodic solution if and only if there is a bounded soluti on. The results proved by Massera, Chow and Makay are generalized.