Geodesic
Anti-periodic solutions to Rayleigh-type equations with two deviating arguments
Electronic journal of differential equations, Tome 2012 (2012)
In this article, the Rayleigh equation with two deviating arguments

$ x''(t)+f(x'(t))+g_1(t,x(t-\tau_1(t)))+g_2(t,x(t-\tau_2(t)))=e(t) $

is studied. By using Leray-Schauder fixed point theorem, we obtain the existence of anti-periodic solutions to this equation. The results are illustrated with an example, which can not be handled using previous results.
Classification : 34K13, 34K15, 34C25
Keywords: Rayleigh equation, anti-periodic solution, deviating argument 
@article{EJDE_2012__2012__a0,
     author = {Feng,  Meiqiang and Zhang,  Xuemei},
     title = {Anti-periodic solutions to {Rayleigh-type} equations with two deviating arguments},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1290.34069},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a0/}
}
TY  - JOUR
AU  - Feng,  Meiqiang
AU  - Zhang,  Xuemei
TI  - Anti-periodic solutions to Rayleigh-type equations with two deviating arguments
JO  - Electronic journal of differential equations
PY  - 2012
VL  - 2012
UR  - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a0/
LA  - en
ID  - EJDE_2012__2012__a0
ER  - 
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%A Feng,  Meiqiang
%A Zhang,  Xuemei
%T Anti-periodic solutions to Rayleigh-type equations with two deviating arguments
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a0/
%G en
%F EJDE_2012__2012__a0
Feng,  Meiqiang; Zhang,  Xuemei. Anti-periodic solutions to Rayleigh-type equations with two deviating arguments. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a0/