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

[31] Existence of Positive Solutions For A Fourth-Order p-Laplacian Boundary Value Problem
Yu, Shoucheng
Yang, Zhilin
Sun, Lianlong
APPLIED MATHEMATICS E-NOTES, 2014, 14 : 57 - 68
[32] Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities
Xin, Yun
Liu, Hongmin
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[33] Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities
Yun Xin
Hongmin Liu
Journal of Inequalities and Applications, 2018
[34] EXISTENCE OF HOMOCLINIC SOLUTIONS FOR A NONLINEAR FOURTH ORDER p-LAPLACIAN DIFFERENCE EQUATION
Dimitrov, Nikolay
Tersian, Stepan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (02): : 555 - 567
[35] Existence of Periodic Solutions for n-Dimensional p-Laplacian Equation with Multiple Deviating Arguments
Ni, Jinbo
Gao, Juan
Advances in Intelligent Systems and Computing, 2013, 212 : 225 - 231
[36] Positive periodic solutions for singular fourth-order differential equations with a deviating argument
Kong, Fanchao
Liang, Zaitao
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2018, 148 (03) : 605 - 617
[37] ON THE EXISTENCE OF PERIODIC SOLUTIONS TO A P-LAPLACIAN RAYLEIGH EQUATION
Du, Bo
Lu, Shiping
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2009, 40 (04): : 253 - 266
[38] Periodic solutions for p-Laplacian differential equation with multiple deviating arguments
Cheung, WS
Ren, JL
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (04) : 727 - 742
[39] Periodic solutions for Rayleigh type p-Laplacian equation with deviating arguments
Zong, Minggang
Liang, Hongzhen
APPLIED MATHEMATICS LETTERS, 2007, 20 (01) : 43 - 47
[40] EXISTENCE OF PERIODIC SOLUTION FOR FOURTH-ORDER LIENARD TYPE P-LAPLACIAN GENERALIZED NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER
Cheng, Zhibo
Ren, Jingli
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (04): : 704 - 720

← 1 2 3 4 5 →