We consider a nonlinear distributed delay equation where g and f are smooth, bounded, and odd and satisfy a positive and a negative feedback condition, respectively. Using elementary fixed point theory we prove the existence of a nontrivial periodic solution of period 2 + 2d satisfying certain symmetries, given certain growth conditions on f and g near zero.
This is the publisher's version of the work. This publication appears in Gettysburg College's institutional repository by permission of the copyright owner for personal use, not for redistribution.
Kennedy, Benjamin B. "Symmetric Periodic Solutions for a Class of Differential Delay Equations with Distributed Delay." Electronic Journal of Qualitative Theory of Differential Equations No. 4 (2014).
Required Publisher's Statement
Original version is available from the publisher at: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2659