Geodesic
Positive periodic solutions for second-order neutral differential equations with functional delay
Electronic journal of differential equations, Tome 2012 (2012)
Zbl
We use Krasnoselskii's fixed point theorem to prove the existence of positive periodic solutions of the second-order nonlinear neutral differential equation

$ \frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)x(t) =c\frac{d}{dt}x(t-\tau(t))+f(t,h(x(t)),g(x(t-\tau(t)))). $

Classification : 34K20, 45J05, 45D05
Keywords: neutral equation, positive periodic solution 
Yankson,  Ernest. Positive periodic solutions for second-order neutral differential equations with functional delay. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a37/
@article{EJDE_2012__2012__a37,
     author = {Yankson,  Ernest},
     title = {Positive periodic solutions for second-order neutral differential equations with functional delay},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1243.34114},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a37/}
}
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