Periodic Solutions for a Higher-order p-Laplacian Neutral Differential Equation with Multiple Deviating Arguments

被引：0

作者：

Moutaouekkil, Loubna ^{[1
]}

Chakrone, Omar ^{[2
]}

El Allali, Zakaria ^{[1
]}

Taarabti, Said ^{[3
]}

机构：

[1] Univ Mohamed First, Multidisciplinary Fac Nador, Dept Math, Oujda, Morocco

[2] Univ Mohammed First, Fac Sci Oujda, Dept Math, Oujda, Morocco

[3] Univ Ibn Zohr, Natl Sch Appl Sci Agadir, Dept Math & Comp, Agadir, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Periodic solution; neutral equation; deviating argument; higher-order; p-Laplacian; Mawhin?s continuation; SIGN-CHANGING COEFFICIENT; EXISTENCE; KIND; UNIQUENESS;

D O I：

10.5269/bspm.51390

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider the following higher-order p-Laplacian neutral differential equation with multiple deviating arguments: (phi p(x(t) - cx(t - r))(m)(t))(m) = f(x(t))x '(t) +g(t, x(t), x(t - tau 1(t)), ..., x(t- tau k(t))) +e(t). By applying the continuation theorem, theory of Fourier series, Bernoulli numbers theory and some analytic techniques, sufficient conditions for the existence of periodic solutions are established.

引用

页数：1

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