Existence of periodic solutions for a fourth-order p-Laplacian equation with a deviating argument

被引：9

作者：

Lu, Shiping ^{[1
,2
]}

Jin, Shan ^{[2
]}

机构：

[1] Nanjing Univ Informat & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 54100, Anhui, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 02期

关键词：

Periodic solution; Continuation theorem; Deviating argument; p-Laplacian;

D O I：

10.1016/j.cam.2008.12.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument as follows: [phi(p)(u ''(t))]'' +f (u ''(t)) + g(u(t - tau(t))) = e(t). Under various assumptions, the existence of periodic solutions of the problem is obtained by applying Mawhin's continuation theorem. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：513 / 520

页数：8

共 50 条

[41] Existence of homoclinic orbits for fourth-order p-Laplacian difference equations
Yang, Lianwu
INDAGATIONES MATHEMATICAE-NEW SERIES, 2016, 27 (03): : 879 - 892
[42] Almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument
Xiong, Wanmin
Yue, Guangxue
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (05) : 1184 - 1190
[43] NEW RESULTS ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR A HIGHER-ORDER P-LAPLACIAN NEUTRAL DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS
Moutaouekkil, Loubna
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2021, 27 (01): : 44 - 56
[44] Existence of positive solutions for a fourth-order differential equation with p-Laplacian and Riemann-Stieltjes integral boundary conditions
Wang, Yingqiu
Ji, Dehong
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2024, 13 (04) : 393 - 411
[45] Existence of Multiple Positive Solutions of Nonlinear Singular Fourth-Order Problems Involving the P-Laplacian
Wei, Ying
Wang, Min
Wang, Libo
BIO-INSPIRED COMPUTING - THEORIES AND APPLICATIONS, BIC-TA 2014, 2014, 472 : 468 - 472
[46] Existence of Periodic Solutions for a Class of Fourth-Order Difference Equation
Wei, Jia
Han, Xiaoling
Ye, Fumei
JOURNAL OF FUNCTION SPACES, 2022, 2022
[47] Existence of periodic solutions for a class of second order differential equation with deviating argument
Guo C.
Xu Y.
Journal of Applied Mathematics and Computing, 2008, 28 (1-2) : 425 - 433
[48] On a p-Laplacian equation with a second-order q-Laplacian diffusion of fourth-order
Liang, Bo
Liu, Sitong
Ma, Yongfeng
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2025, 32 (03):
[49] PERIODIC SOLUTIONS TO p-LAPLACIAN GENERALIZED LINARD EQUATION WITH DEVIATING ARGUMENTS
Zhu Yanling
Annals of Differential Equations, 2008, (02) : 246 - 252
[50] Existence of periodic solutions for p-Laplacian neutral Rayleigh equation
Zhi Min He
Jian Hua Shen
Advances in Difference Equations, 2014

← 1 2 3 4 5 →