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EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF(m, n)-ORDER GENERALIZED NEUTRAL DIFFERENTIAL EQUATION

EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF(m, n)-ORDER GENERALIZED NEUTRAL DIFFERENTIAL EQUATION
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摘要 In this paper, we consider the following high-order p-Laplacian generalized neutral differential equation with variable parameter(φp(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. In this paper, we consider the following high-order p-Laplacian generalized neutral differential equation with variable parameter(φp(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.
作者 Shaowen Yao
出处 《Annals of Applied Mathematics》 2019年第2期197-211,共15页 应用数学年刊(英文版)
基金 supported by National Natural Science Foundation of China(71601072)
关键词 periodic solution P-LAPLACIAN HIGH-ORDER NEUTRAL OPERATOR variable parameter periodic solution p-Laplacian high-order neutral operator variable parameter
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