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

• 作者: Shaowen Yao
• 来源期刊: 应用数学年刊:英文版
• 学科: 数学
• 关键词: PERIODIC solution P-LAPLACIAN HIGH-ORDER NEUTRAL OPERATOR variable parameter
• 年，卷（期）: 2019,（2）
• 页码范围: 197-211
• 页数: 15页
• 分类号: O175

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.