@Article{Yankson2012,
author = "Yankson, Ernest",
title = "Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay",
journal = "Opuscula Math.",
year = "2012",
volume = "32",
number = "3",
pages = "617--627",
doi = "http://dx.doi.org/10.7494/OpMath.2012.32.3.617",
url = "http://dx.doi.org/10.7494/OpMath.2012.32.3.617",
abstract = "We use a variant of Krasnoselskii's fixed point theorem by T. A. Burton to show that the nonlinear neutral differential equation with functional delay \[x'(t) = -a(t)h(x(t)) +c(t)x'(t-g(t)) + q(t,x(t) x(t-g(t)))\] has a periodic solution.",
keywords = "fixed point, large contraction, periodic solution, totally nonlinear neutral equation",
issn = "1232-9274"
}