EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR A NONLINEAR SYSTEM OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS

被引:0
作者
Han, Xiao [1 ]
He, Yujing [1 ,2 ]
Wei, Hui [3 ]
机构
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
[2] Tianjin Binhai Foreign Language Sch, Tianjin 300450, Peoples R China
[3] Luoyang Normal Univ, Dept Math, Luoyang 471934, Peoples R China
关键词
Existence ofsolutions; positive periodic solutions; fixed point theorem; RADIAL SOLUTIONS; MULTIPLICITY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article concerns the positive periodic solutions for a system of second-order nonlinear ordinary differential equations, in which the nonlinear term is sublinear in one equation and superlinear in the other equation. By using the fixed point theorem of cone expansion and compression we obtain the existence of positive periodic solutions.
引用
收藏
页数:11
相关论文
共 16 条
[1]   On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions [J].
Atici, FM ;
Guseinov, GS .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 132 (02) :341-356
[2]   Existence of positive solutions for a second-order ordinary differential system [J].
Cheng, XY ;
Zhong, CK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (01) :14-23
[3]   Existence and multiplicity of positive solutions for elliptic systems [J].
Dunninger, DR ;
Wang, HY .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (09) :1051-1060
[4]   Multiplicity of positive radial solutions for an elliptic system on an annulus [J].
Dunninger, DR ;
Wang, HY .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (05) :803-811
[5]   ON THE EXISTENCE OF POSITIVE SOLUTIONS OF ORDINARY DIFFERENTIAL-EQUATIONS [J].
ERBE, LH ;
WANG, HY .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) :743-748
[6]   Existence of periodic solutions and bifurcation points for generalized ordinary differential equations [J].
Federson, M. ;
Mawhin, J. ;
Mesquita, C. .
BULLETIN DES SCIENCES MATHEMATIQUES, 2021, 169
[7]   EXISTENCE OF A PAIR OF PERIODIC-SOLUTIONS OF AN ODE GENERALIZING A PROBLEM IN NONLINEAR ELASTICITY, VIA VARIATIONAL-METHODS [J].
GAETE, S ;
MANASEVICH, RF .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 134 (02) :257-271
[8]   Generating Resonant and Repeated Root Solutions to Ordinary Differential Equations Using Perturbation Methods [J].
Gouveia, Bernardo ;
Stone, Howard A. .
SIAM REVIEW, 2022, 64 (02) :485-499
[9]  
Guerrero-Flores S, 2019, ELECTRON J DIFFER EQ
[10]  
Kobilzoda M. M., 2019, VESTNIK VORONEZHS FM, P117