Geodesic
Existence of periodic solutions for second-order neutral differential equations
Electronic journal of differential equations, Tome 2005 (2005)
Zbl   EuDML
By means of variational structure and critical point theory, we study the existence of periodic solutions for a second-order neutral differential equation

$\displaylines{ (p(t) x' (t - \tau ))' + f(t, x(t), x(t-\tau ), x(t-2\tau) ) = g(t),\cr x(0) = x(2k\tau), x'(0) = x'(2k\tau). }$

where $k$ is a given positive integer and $\tau$ is a positive number.
Classification : 34K13, 34K40, 65K10
Keywords: neutral differential equations, periodic solution, variational method, critical point 
Li,  Yongjin. Existence of periodic solutions for second-order neutral differential equations. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a175/
@article{EJDE_2005__2005__a175,
     author = {Li,  Yongjin},
     title = {Existence of periodic solutions for second-order neutral differential equations},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a175/}
}
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