An Improved Existence And Uniqueness Criterion For Periodic Solutions Of A Duffing Type p-Laplacian Equation

被引：0

作者：

Wang, Yong ^{[1
,2
]}

机构：

[1] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China

[2] Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS E-NOTES | 2010年 / 10卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we investigate a Duffing type p-Laplacian equation. Some new criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the Manasevich Mawhin continuation theorem. Our results extend and improve some known results from the literature.

引用

页码：246 / 251

页数：6

共 50 条

[1] Existence and uniqueness of periodic solutions for a kind of duffing type p-Laplacian equation
Zhang, Fuxing
Li, Ya
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (03) : 985 - 989
[2] Novel existence and uniqueness criteria for periodic solutions of a Duffing type p-Laplacian equation
Wang, Yong
APPLIED MATHEMATICS LETTERS, 2010, 23 (04) : 436 - 439
[3] Existence and uniqueness of periodic solutions for a p-Laplacian Duffing equation with a deviating argument
Gao, Fabao
Lu, Shiping
Zhang, Wei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3567 - 3574
[4] Existence and uniqueness of periodic solutions for Rayleigh type p-Laplacian equation
He, Zhanbing
Wang, Wentao
Yi, Xuejun
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 232 (02) : 558 - 564
[5] Existence and uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation
Liu, Bingwen
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (02) : 724 - 729
[6] Existence and uniqueness of positive periodic solutions for Rayleigh type p-Laplacian equation
Xiong, Wanmin
Shao, Hanying
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1343 - 1350
[7] PERIODIC SOLUTIONS TO DUFFING TYPE p-LAPLACIAN EQUATION WITH SEVERAL p-LAPLACIAN OPERATORS
Zongfu Zhou
Li Zeng
Baorui Jia
Jianzhong Xu
Annals of Applied Mathematics, 2013, 29 (01) : 121 - 126
[8] Periodic solutions for a kind of Duffing type p-Laplacian equation
Tang, Mei-Lan
Liu, Xin-Ge
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1870 - 1875
[9] New results on the existence and uniqueness of periodic solutions for Lienard type p-Laplacian equation
Gao, Fabao
Lu, Shiping
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2008, 345 (04): : 374 - 381
[10] ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTION FOR RAYLEIGH TYPE p-LAPLACIAN EQUATION
Yang, Congmin
Xu, Zhihang
Wang, Zaihong
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2023, 30 (02): : 83 - 95

← 1 2 3 4 5 →