Geodesic
Liénard type \(p\)-Laplacian neutral Rayleigh equation with a deviating argument
Electronic journal of differential equations, Tome 2010 (2010)
Based on Manasevich-Mawhin continuation theorem, we prove the existence of periodic solutions for Lienard type

$ (\phi_p(x(t)-c x(t-\sigma))')'+f(x(t))x'(t)+ g(t,x(t-\tau(t)))=e(t). $

An example is provided to illustrate our results.
Classification : 34C25, 34B15
Keywords: periodic solution, neutral Rayleigh equation, Liénard equation, deviating argument, p-Laplacian, manasevich-mawhin continuation 
@article{EJDE_2010__2010__a82,
     author = {Anane,  Aomar and Chakrone,  Omar and Moutaouekkil,  Loubna},
     title = {Li\'enard type {\(p\)-Laplacian} neutral {Rayleigh} equation with a deviating argument},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1209.34083},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a82/}
}
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AU  - Moutaouekkil,  Loubna
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JO  - Electronic journal of differential equations
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VL  - 2010
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LA  - en
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%A Chakrone,  Omar
%A Moutaouekkil,  Loubna
%T Liénard type \(p\)-Laplacian neutral Rayleigh equation with a deviating argument
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a82/
%G en
%F EJDE_2010__2010__a82
Anane,  Aomar; Chakrone,  Omar; Moutaouekkil,  Loubna. Liénard type \(p\)-Laplacian neutral Rayleigh equation with a deviating argument. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a82/