Positive periodic solution for higher-order p-Laplacian neutral singular Rayleigh equation with variable coefficient
Yun Xin, Shao-Wen Yao, Zhibo Cheng · Boundary Value Problems · 2017
In this paper, we consider the existence of a positive periodic solution for the following kind of high-order p-Laplacian neutral singular Rayleigh equation with variable coefficient: $$ \bigl(\varphi_{p}\bigl(x(t)-c(t)x(t-\sigma)\bigr)^{(n)} \bigr)^{(m)}+f\bigl(t,x'(t)\bigr)+g\bigl(t,x(t)\bigr)=e(t). $$ Our proof is based on Mawhin’s continuation theory.