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Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument. (English) Zbl 1078.34048
The authors study the problem of existence of periodic solutions for the Rayleigh equation with deviating argument \[ x''(t)+ f(x'(t))+ g(x(t- \tau(t)))= p(t), \] where \(f\), \(g\), \(p\) and \(\tau\) are real continuous functions defined on \(\mathbb{R}\); \(\tau\) and \(p\) are periodic with period \(T> 0\). By using Mawhin’s continuation theorem, the authors obtain some new results.

MSC:
34K13 Periodic solutions to functional-differential equations
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