Geodesic
Anti-periodic solutions to Rayleigh-type equations with two deviating arguments
Electronic Journal of Differential Equations, Tome 2012 (2012).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a0/}
}
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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/