Infinitely Many Solutions for Impulsive Nonlocal Elastic Beam Equations

被引：3
|
作者：
Afrouzi, Ghasem A. [1 ]
Moradi, Shahin [1 ]
Caristi, Giuseppe [2 ]
机构：
[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran
[2] Univ Messina, Dept Econ, Via Verdi 75, Messina, Italy
来源：
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2022年 / 30卷 / 02期
关键词：
Infinitely many solutions; Impulsive differential equations; Fourth-order problem; Kirchhoff equation; Variational methods; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; 4TH-ORDER EQUATIONS; MULTIPLICITY; EXISTENCE;
D O I：
10.1007/s12591-017-0397-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of solutions for impulsive beam equations of Kirchhoff-type. By using critical point theory, we obtain some new criteria for guaranteeing that impulsive fourth-order differential equations of Kirchhoff-type have infinitely many solutions. Some recent results are extended and improved. An example is presented to demonstrate the application of our main results.
引用
收藏
页码：287 / 300
页数：14
相关论文
共 50 条
  • [1] Infinitely Many Solutions for Impulsive Nonlocal Elastic Beam Equations
    Ghasem A. Afrouzi
    Shahin Moradi
    Giuseppe Caristi
    Differential Equations and Dynamical Systems, 2022, 30 : 287 - 300
  • [2] INFINITELY MANY SOLUTIONS FOR A NONLOCAL PROBLEM
    Tang, Zhi-Yun
    Ou, Zeng-Qi
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (05): : 1912 - 1917
  • [3] INFINITELY MANY SOLUTIONS FOR A DIRICHLET BOUNDARY VALUE PROBLEM WITH IMPULSIVE CONDITION
    Afrouzi, Ghasem A.
    Hadjian, Armin
    Shokooh, Saeid
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2015, 77 (04): : 9 - 22
  • [4] Infinitely many solutions for a class of fourth-order impulsive differential equations
    Shokooh, Saeid
    Afrouzi, Ghasem A.
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2019, 10 (01) : 7 - 16
  • [5] Infinitely many solutions for impulsive fractional differential equations through variational methods
    Gao, Dongdong
    Li, Jianli
    QUAESTIONES MATHEMATICAE, 2020, 43 (09) : 1285 - 1301
  • [6] Infinitely many solutions for a fourth-order elastic beam equation
    Bonanno, Gabriele
    Di Bella, Beatrice
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (03): : 357 - 368
  • [7] Infinitely many solutions for a boundary value problem with impulsive effects
    Bonanno, Gabriele
    Di Bella, Beatrice
    Henderson, Johnny
    BOUNDARY VALUE PROBLEMS, 2013,
  • [8] Infinitely many solutions for the discrete Schrodinger equations with a nonlocal term
    Xie, Qilin
    Xiao, Huafeng
    BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
  • [9] Infinitely many solutions for indefinite impulsive differential equations perturbed from symmetry
    Zhang, Liang
    Tang, Xianhua
    Chen, Yi
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (03) : 753 - 764
  • [10] Infinitely many solutions for nonhomogeneous Choquard equations
    Wang, Tao
    Guo, Hui
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (24) : 1 - 10
12345