Periodic Solutions of an Indefinite Singular Planar Differential System

被引：0

作者：

Zaitao Liang

Xiuqiang Zhang

Shengjun Li

机构：

[1] Anhui University of Science and Technology,School of Mathematics and Big Data

[2] Hainan University,School of Science

来源：

Mediterranean Journal of Mathematics | 2023年 / 20卷

关键词：

Periodic solutions; planar differential system; indefinite singularity; 34C25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a planar radially symmetric system with an indefinite singularity. Some efficient conditions guaranteeing the existence of periodic solutions with minimal period mT are established. These periodic solutions rotate exactly once around the singularity in the period time mT. Our results are applicable to the case of a strong singularity as well as the case of a weak singularity.

引用

共 50 条

[41] Mountain pass lemma and new periodic solutions of the singular second order Hamiltonian system
Bingyu Li
Fengying Li
Boundary Value Problems, 2014
[42] New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System
Candido, M. R.
Llibre, J.
Valls, C.
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2019, 22 (02)
[43] Stable phase-locked periodic solutions in a delay differential system
Wu, JH
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 194 (02) : 237 - 286
[44] New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System
M. R. Cândido
J. Llibre
C. Valls
Mathematical Physics, Analysis and Geometry, 2019, 22
[45] PERIODIC SOLUTIONS OF EL NINO MODEL THROUGH THE VALLIS DIFFERENTIAL SYSTEM
Euzebio, Rodrigo Donizete
Llibre, Jaume
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (09) : 3455 - 3469
[46] Periodic solutions for the p-Laplacian neutral functional differential system
Zhenyou Wang
Changxiu Song
Advances in Difference Equations, 2013
[47] Periodic solutions for the p-Laplacian neutral functional differential system
Wang, Zhenyou
Song, Changxiu
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[48] Periodic solutions to superlinear planar Hamiltonian systems
Boscaggin, Alberto
PORTUGALIAE MATHEMATICA, 2012, 69 (02) : 127 - 140
[49] Multiplicity of periodic solutions for the planar polynomial equation
Borisovich, A
Marzantowicz, W
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (02) : 217 - 231
[50] Existence of periodic solutions of a class of planar systems
Yang, XJ
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2006, 25 (02): : 237 - 248

← 1 2 3 4 5 →