@Article{Essel2014, author = "Essel, Emmanuel K. and Yankson, Ernest", title = "On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay", journal = "Opuscula Math.", year = "2014", volume = "34", number = "3", pages = "469--481", doi = "http://dx.doi.org/10.7494/OpMath.2014.34.3.469", url = "http://dx.doi.org/10.7494/OpMath.2014.34.3.469", abstract = "We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the Krasnoselskii-Burton hybrid fixed point theorem.", keywords = "Krasnoselskii, neutral, positive periodic solution", issn = "1232-9274" }