Upper and lower solutions method for a class of second-order coupled systems

被引：1
|
作者：
Yu, Zelong [1 ]
Bai, Zhanbing [1 ]
Shang, Suiming [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Coupled system; Lower and upper solutions; Degree theory; EXISTENCE;
D O I：
10.1186/s13661-024-01837-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper provides a class of upper and lower solution definitions for second-order coupled systems by transforming the fourth-order differential equation into a second-order differential system. Then, by constructing a homotopy parameter and utilizing the maximum principle, we propose an upper and lower solutions method for studying a class of second-order coupled systems with Dirichlet boundary conditions and obtain an existence result.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] Upper and lower solutions method for a class of second-order coupled systems
    Zelong Yu
    Zhanbing Bai
    Suiming Shang
    [J]. Boundary Value Problems, 2024
  • [2] The method of upper and lower solutions for a class of fractional differential coupled systems
    Huan Quan
    Xiping Liu
    Mei Jia
    [J]. Advances in Difference Equations, 2021
  • [3] The method of upper and lower solutions for a class of fractional differential coupled systems
    Quan, Huan
    Liu, Xiping
    Jia, Mei
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [4] A constructive monotone iterative method for second-order BVP in the presence of lower and upper solutions
    Cherpion, M
    De Coster, C
    Habets, P
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2001, 123 (01) : 75 - 91
  • [5] Homoclinic solutions for a class of second-order Hamiltonian systems
    Lv, Xiang
    Lu, Shiping
    Jiang, Jifa
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (01) : 176 - 185
  • [6] Homoclinic solutions for a class of second-order Hamiltonian systems
    Tang, X. H.
    Xiao, Li
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 1140 - 1152
  • [7] Homoclinic solutions for a class of second-order Hamiltonian systems
    Tang, X. H.
    Lin, Xiaoyan
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (02) : 539 - 549
  • [8] PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER HAMILTONIAN SYSTEMS
    Bonanno, Gabriele
    Livrea, Roberto
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
  • [9] Boundedness of Solutions for a Class of Second-Order Periodic Systems
    Jiang, Shunjun
    Ding, Yan
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [10] The upper and lower functions method for second order systems
    Lepin, AJ
    Sadyrbaev, FZ
    [J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2001, 20 (03): : 739 - 753
12345