Multiplicity of periodic solutions for the planar polynomial equation

被引：8

作者：

Borisovich, A ^{[1
]}

Marzantowicz, W

机构：

[1] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland

[2] Adam Mickiewicz Univ, Fac Math & Informat, Poznan, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 02期

关键词：

planar ODE; periodic coefficients; periodic solutions; averaging; a priori estimate;

D O I：

10.1016/S0362-546X(99)00191-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonautonomous system of ordinary differential equations was studied. The multiplicity problems based on theorems on the multiplicity of distinct roots of a complex polynomial was studied by using Nielson theory. The main theorem gives a sufficient condition for the existence of periodic solutions for a particular equation by direct integration.

引用

页码：217 / 231

页数：15

共 50 条

[21] MULTIPLICITY RESULTS OF PERIODIC SOLUTIONS FOR A COUPLED SYSTEM OF WAVE EQUATIONS
Deng, Jiayu
Ji, Shuguan
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2024, 23 (02) : 195 - 211
[22] Periodic solutions of a porous medium equation
Zhang, Dazhi
Sun, Jiebao
Wu, Boying
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (42) : 1 - 7
[23] Periodic solutions to superlinear planar Hamiltonian systems
Boscaggin, Alberto
PORTUGALIAE MATHEMATICA, 2012, 69 (02) : 127 - 140
[24] Existence of periodic solutions of a class of planar systems
Yang, XJ
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2006, 25 (02): : 237 - 248
[25] The Periodic Solutions of Discrete Nagumo Equation
刘玉荣
刘曾荣
Advances in Manufacturing, 2002, (02) : 97 - 100
[26] Multiplicity of periodic solutions for weakly coupled parametrized systems with singularities
Wang, Shuang
Liu, Chunlian
ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (06): : 3594 - 3608
[27] Existence and multiplicity of periodic solutions to differential equations with attractive singularities
Godoy, Jose
Hakl, Robert
Yu, Xingchen
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (02) : 402 - 427
[28] Existence and multiplicity results for periodic solutions of nonlinear difference equations
Bereanu, C.
Mawhin, J.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (07) : 677 - 695
[29] A multiplicity result for periodic solutions of Lienard equations with an attractive singularity
Yu, Xingchen
Lu, Shiping
APPLIED MATHEMATICS AND COMPUTATION, 2019, 346 : 183 - 192
[30] STABILITY AND MULTIPLICITY OF PERIODIC OR ALMOST PERIODIC SOLUTIONS TO SCALAR FIRST-ORDER ODE
Haraux, Alain
ANALYSIS AND APPLICATIONS, 2006, 4 (03) : 237 - 246

← 1 2 3 4 5 →