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| EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF (m,n)-ORDER GENERALIZED NEUTRAL DIFFERENTIAL EQUATION |
| Shaowen Yao |
| (School of Math. and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, PR China) |
| DOI： |
| Abstract: |
| In this paper, we consider the following high-order p-Laplacian generalized neutral differential equation with variable parameter \begin{equation*}
(\varphi_p(x(t)-c(t)x(t-\sigma))^{(n)})^{(m)}+g(t,x(t),x(t-\tau(t)),x'(t),\cdots,x^{(m)}(t))=e(t).\end{equation*} By the coincidence degree theory and some analysis skills, sufficient conditions for the existence of periodic solutions are established. |
| Key words: periodic solution; p-Laplacian; high-order; neutral operator; variable parameter |