Geodesic
Existence of periodic solutions for second-order neutral differential equations
Electronic journal of differential equations, Tome 2005 (2005)
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 
@article{EJDE_2005__2005__a75,
     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__a75/}
}
TY  - JOUR
AU  - Li,  Yongjin
TI  - Existence of periodic solutions for second-order neutral differential equations
JO  - Electronic journal of differential equations
PY  - 2005
VL  - 2005
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LA  - en
ID  - EJDE_2005__2005__a75
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%0 Journal Article
%A Li,  Yongjin
%T Existence of periodic solutions for second-order neutral differential equations
%J Electronic journal of differential equations
%D 2005
%V 2005
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a75/
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%F EJDE_2005__2005__a75
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__a75/