Geodesic
Positive periodic solutions for second-order neutral differential equations with functional delay
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Yankson, Ernest},
     title = {Positive periodic solutions for second-order neutral differential equations with functional delay},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a37/}
}
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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/