TY  - JOUR
ID  - Essel2014
LB  - Essel2014
AU  - Essel, Emmanuel K.
AU  - Yankson, Ernest
TI  - On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay
ST  - On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2014
VL  - 34
IS  - 3
SP  - 469
EP  - 481
DO  - http://dx.doi.org/10.7494/OpMath.2014.34.3.469
UR  - http://dx.doi.org/10.7494/OpMath.2014.34.3.469
AB  - 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.
KW  - Krasnoselskii
KW  - neutral
KW  - positive periodic solution
SN  - 1232-9274
ER  -