Existence of Periodic Solution for a Kind of ($m$, $n$)-Order Generalized Neutral Differential Equation
Year: 2019
Author: Shaowen Yao
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 197–211
Abstract
In this paper, we consider the following high-order $p$-Laplacian generalized
neutral differential equation with variable parameter
$(φ_p(x(t)− c(t)x(t− σ))^{(n)})^{(m)} + g(t, x(t), x(t− τ (t)), x′(t), · · · , x^{(m)}(t)) = e(t)$.
By the coincidence degree theory and some analysis skills, sufficient conditions
for the existence of periodic solutions are established.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-AAM-18078
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 197–211
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: periodic solution $p$-Laplacian high-order neutral operator variable parameter.