EXISTENCE OF PERIODIC SOLUTIONS FOR TWO CLASSES OF SECOND ORDER P-LAPLACIAN DIFFERENTIAL EQUATIONS

被引：2

作者：

Han, Xiaoling ^{[1
]}

Yang, Hujun ^{[1
]}

机构：

[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Periodic solution; p-Laplacian; Mana?sevich-Mawhin theorem;

D O I：

10.11948/20210310

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the Mana ' sevich-Mawhin theorem on con-tinuity of the topological degree, we prove the existence of periodic solutions for two classes of second order p-Laplacian polynomial differential equations. Finally, some examples are given to show applications of the conclusions.

引用

页码：81 / 94

页数：14

共 50 条

[31] Existence Results for Periodic Solutions of Nonautonomous Second-order Differential Systems with (q,p)-Laplacian
NURBEK A.ERUBAY
DENA TURHAN
Communications in Mathematical Research, 2012, 28 (03) : 281 - 288
[32] New existence results on periodic solutions of nonautonomous second order differential systems with (q, p)-Laplacian
Pasca, Daniel
Tang, Chun-Lei
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2012, 19 (01) : 19 - 27
[33] Existence of periodic solutions for a fourth-order p-Laplacian equation with a deviating argument
Lu, Shiping
Jin, Shan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 513 - 520
[34] EXISTENCE OF PERIODIC SOLUTIONS TO A p-LAPLACIAN NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER
Feng Liang
Annals of Applied Mathematics, 2010, 26 (02) : 165 - 173
[35] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN IN HPν,η:ψ
Sousa, J. Vanterler da C.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (02): : 622 - 661
[36] Positive periodic solutions for p-Laplacian neutral differential equations with a singularity
Li, Zhiyan
Kong, Fanchao
BOUNDARY VALUE PROBLEMS, 2017,
[37] On the Existence of T-Periodic Solutions for Duffing Type Integro-Differential Equations with p-Laplacian
Ahmad, B.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2008, 29 (01) : 1 - 4
[38] On the existence of T-periodic solutions for Duffing type integro-differential equations with p-Laplacian
B. Ahmad
Lobachevskii Journal of Mathematics, 2008, 29 (1) : 1 - 4
[39] Periodic solutions of p-Laplacian equations with singularities
Shipin Lu
Tao Zhong
Yajing Gao
Advances in Difference Equations, 2016
[40] Periodic solutions of p-Laplacian equations with singularities
Lu, Shipin
Zhong, Tao
Gao, Yajing
ADVANCES IN DIFFERENCE EQUATIONS, 2016,

← 1 2 3 4 5 →