Geodesic
On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument
Applications of Mathematics, Tome 55 (2010) no. 3, pp. 189-196.

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The existence of positive periodic solutions for a kind of Rayleigh equation with a deviating argument $$ x''(t)+ f(x'(t))+ g(t,x(t-\tau (t)))= p(t) $$ is studied. Using the coincidence degree theory, some sufficient conditions on the existence of positive periodic solutions are obtained.
DOI : 10.1007/s10492-010-0007-7
Classification : 34K13, 47N20
Keywords: Rayleigh equations; positive periodic solution; a priori estimate 
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Zhou, Yinggao; Wu, Min. On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument. Applications of Mathematics, Tome 55 (2010) no. 3, pp. 189-196. doi : 10.1007/s10492-010-0007-7. http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0007-7/

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