TY - JOUR
T1 - Existence of Periodic Solution for a Kind of ($m$, $n$)-Order Generalized Neutral Differential Equation
AU - Yao , Shaowen
JO - Annals of Applied Mathematics
VL - 2
SP - 197
EP - 211
PY - 2020
DA - 2020/08
SN - 35
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18078.html
KW - periodic solution, $p$-Laplacian, high-order, neutral operator, variable parameter.
AB - <p style="text-align: justify;">In this paper, we consider the following high-order $p$-Laplacian generalized
neutral differential equation with variable parameter<br/>$(φ_p(x(t)− c(t)x(t− σ))^{(n)})^{(m)} + g(t, x(t), x(t− τ (t)), x′(t), · · · , x^{(m)}(t)) = e(t)$.<br/>By the coincidence degree theory and some analysis skills, sufficient conditions
for the existence of periodic solutions are established.</p>