Positive periodic solution for higher-order \(p\)-Laplacian neutral singular Rayleigh equation with variable coefficient (Q1678059)

The authors prove the existence of a positive periodic solution for a class of higher-order p-Laplacian neutral singular periodic Rayleigh ordinary differential equations having the form \[ (\varphi_p(x(t)-c(t)x(t-\sigma))^{(n)})^{(m)}+f(t,x'(t))+g(t,x(t))=e(t). \] The main tool used is a continuation theorem within the coincidence topological degree theory.