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Periodic solutions for a kind of Rayleigh equation with a deviating argument. (English) Zbl 1293.34087
Summary: By employing the continuation theorem of coincidence degree theory developed by Mawhin, we study a kind of Rayleigh equation with a deviating argument as follows \(x''(t)+f(x'(t))+g(x(t-\tau (t)))=p(t)\), and some new results on the existence of periodic solutions are obtained. Our work generalizes the known result.

MSC:
34K13 Periodic solutions to functional-differential equations
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