Multiple solutions of fourth-order difference equations with different boundary conditions

被引：0
|
作者：
Yuhua Long
Shaohong Wang
Jiali Chen
机构：
[1] Guangzhou University,School of Mathematics and Information Science
[2] Guangzhou University,Center for Applied Mathematics
来源：
Boundary Value Problems | / 2019卷
关键词：
Multiple solutions; Boundary value problems; Invariant sets of descending flow; Mountain pass lemma; 39A12; 39A23;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, a class of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are considered. Based on the invariant sets of descending flow in combination with the mountain pass lemma, we establish a series of sufficient conditions on the existence of multiple solutions for these boundary value problems. In addition, some examples are provided to demonstrate the applicability of our results.
引用
收藏
相关论文
共 50 条
  • [1] Multiple solutions of fourth-order difference equations with different boundary conditions
    Long, Yuhua
    Wang, Shaohong
    Chen, Jiali
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
  • [2] Multiple solutions of fourth-order functional difference equation with periodic boundary conditions
    Wang, Shaohong
    Long, Yuhua
    APPLIED MATHEMATICS LETTERS, 2020, 104 (104)
  • [3] Finite difference schemes for the fourth-order parabolic equations with different boundary value conditions
    Lu, Xuan-ru
    Gao, Guang-Hua
    Sun, Zhi-Zhong
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (01) : 447 - 480
  • [4] Multiple nonnegative solutions for BVPs of fourth-order difference equations
    Jian-Ping Sun
    Advances in Difference Equations, 2006
  • [5] Multiple nonnegative solutions for BVPs of fourth-order difference equations
    Sun, Jian-Ping
    ADVANCES IN DIFFERENCE EQUATIONS, 2006, 2006 (1)
  • [6] Properties of solutions of fourth-order differential equations with boundary conditions
    Samir H Saker
    Ravi P Agarwal
    Donal O’Regan
    Journal of Inequalities and Applications, 2013
  • [7] Properties of solutions of fourth-order differential equations with boundary conditions
    Saker, Samir H.
    Agarwal, Ravi P.
    O'Regan, Donal
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [8] The Existence of Multiple Periodic Solutions to a Class of Fourth-Order Difference Equations
    Wu, Haoxin
    Tan, Zixian
    Hu, Xinfei
    Xiao, Huafeng
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [9] SOLUTIONS TO FOURTH-ORDER RANDOM DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS
    Han, Xiaoling
    Ma, Xuan
    Dai, Guowei
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [10] Homoclinic solutions for a class of fourth-order difference equations
    Shi, Haiping
    Liu, Xia
    Zhang, Yuanbiao
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (10) : 2617 - 2625
12345