Almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument

被引：6

作者：

Xiong, Wanmin ^{[1
]}

Yue, Guangxue ^{[2
]}

机构：

[1] Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China

[2] Jiaxing Univ, Coll Math & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 05期

关键词：

Four-order nonlinear differential equation; Exponential stability; Almost periodic solutions; Deviating argument; EXTENDED FISHER-KOLMOGOROV; MULTIPLICITY; EXISTENCE;

D O I：

10.1016/j.camwa.2010.05.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the fourth-order nonlinear differential equations with a deviating argument. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established, which are new and complement previously known results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1184 / 1190

页数：7

共 50 条

[1] Pseudo Almost Periodic Solutions for a Class of Fourth-Order Nonlinear Differential Equations with a Deviating Argument
Chérif F.
[J]. Differential Equations and Dynamical Systems, 2016, 24 (1) : 81 - 97
[2] Positive periodic solutions for singular fourth-order differential equations with a deviating argument
Kong, Fanchao
Liang, Zaitao
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2018, 148 (03) : 605 - 617
[3] Periodic solutions for a class of fourth-order nonlinear differential equations
Zhao, Changhong
Chen, Wei
Zhou, Jinglei
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1221 - 1226
[4] Anti-Periodic Solutions for a Class of Fourth-Order Nonlinear Differential Equations with Multiple Deviating Arguments
Ergoren, Hilmi
Tunc, Cemil
[J]. AZERBAIJAN JOURNAL OF MATHEMATICS, 2013, 3 (01): : 111 - 126
[5] Positive Periodic Solutions for a Class of Fourth-Order Nonlinear Differential Equations
N. Bouteraa
S. Benaicha
[J]. Numerical Analysis and Applications, 2019, 12 : 1 - 14
[6] Positive Periodic Solutions for a Class of Fourth-Order Nonlinear Differential Equations
Bouteraa, N.
Benaicha, S.
[J]. NUMERICAL ANALYSIS AND APPLICATIONS, 2019, 12 (01) : 1 - 14
[7] Positive Almost Periodic Solutions for a Class of Nonlinear Duffing Equations with a Deviating Argument
Peng, Lequn
Wang, Wentao
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (06) : 1 - 12
[8] Periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument
Shan, Jin
Lu Shiping
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1710 - 1718
[9] Periodic Solutions of a Class of Fourth-Order Superlinear Differential Equations
Li, Yanyan
Long, Yuhua
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[10] New results on almost periodic solutions for a class of nonlinear Duffing equations with a deviating argument
Zhou, Qiyuan
Liu, Bingwen
[J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (01) : 6 - 11

← 1 2 3 4 5 →