Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
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.
scientific article; zbMATH DE number 2101850