Anti-symmetric periodic solutions for the third order differential systems

被引：10

作者：

Liu, W. B. ^{[1
]}

Zhang, Jianjun ^{[1
]}

Chen, T. Y. ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221008, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 05期

关键词：

Third-order differential system; Periodic solution; Anti-symmetry; Topological degree; Fixed point; BOUNDARY-VALUE-PROBLEMS; ANTIPERIODIC SOLUTIONS; PENDULUM EQUATION; OPERATORS;

D O I：

10.1016/j.aml.2008.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of periodic solutions with anti-symmetries for third order pendulum-like differential systems has been dealt with by using the topological degree. The results obtained enrich the relative works. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：668 / 673

页数：6

共 50 条

[41] Multiple periodic solutions for second order Josephson-type differential systems
Zhang, Shengui
[J]. BOUNDARY VALUE PROBLEMS, 2017,
[42] UNIQUENESS THEOREMS FOR PERIODIC SOLUTIONS OF CERTAIN FOURTH AND FIFTH ORDER DIFFERENTIAL SYSTEMS
Tunc, Ercan
[J]. BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2007, 2 (03): : 797 - 804
[43] Multiple periodic solutions for second order Josephson-type differential systems
Shengui Zhang
[J]. Boundary Value Problems, 2017
[44] On periodic solutions for even order differential equations
Chen, Jinhai
O'Regan, Donal
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (04) : 1138 - 1144
[45] Periodic solutions for second order differential equations
Cong, FZ
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (08) : 957 - 961
[46] Anti-periodic solutions of nonlinear first order impulsive functional differential equations
Liu, Yuji
[J]. MATHEMATICA SLOVACA, 2012, 62 (04) : 695 - 720
[47] Periodic solutions of third-order degenerate differential equations in vector-valued functional spaces
Gang Cai
Shangquan Bu
[J]. Israel Journal of Mathematics, 2016, 212 : 163 - 188
[48] Periodic solutions of a class of third-order differential equations with two delays depending on time and state
Khemis, Rabah
Ardjouni, Abdelouaheb
Bouakkaz, Ahleme
Djoudi, Ahcene
[J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2019, 60 (03): : 379 - 399
[49] Positive periodic solutions for second order differential equations with impulsive effects
Wang, Weibing
Yang, Xuxin
[J]. BOUNDARY VALUE PROBLEMS, 2015,
[50] Periodic solutions for a kind of second-order neutral differential systems with deviating arguments
Lu, SP
Ge, WG
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (03) : 719 - 732

← 1 2 3 4 5 →