TY  - JOUR
ID  - Yankson2012
LB  - Yankson2012
AU  - Yankson, Ernest
TI  - Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay
ST  - Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 3
SP  - 617
EP  - 627
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.3.617
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.3.617
AB  - 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.
KW  - fixed point
KW  - large contraction
KW  - periodic solution
KW  - totally nonlinear neutral equation
SN  - 1232-9274
ER  -