Multiple solutions to a quasilinear periodic boundary value problem with impulsive effects

被引:3
|
作者
Graef, John R. [1 ]
Heidarkhani, Shapour [2 ]
Kong, Lingju [1 ]
Moradi, Shahin [2 ]
机构
[1] Univ Tennessee Chattanooga, Dept Math, Chattanooga, TN 37403 USA
[2] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
关键词
three solutions; quasilinear periodic; boundary value problem; impulsive effects; variational methods; EXISTENCE;
D O I
10.14232/ejqtde.2024.1.12
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The authors investigate the multiplicity of solutions to a quasilinear periodic boundary value problem with impulsive effects. They use variational methods and some critical points theorems for smooth functionals, due to Ricceri, that are defined on reflexive Banach spaces. They obtain the existence of at least three solutions to the problem. The applicability of the results is illustrated with an example.
引用
收藏
页码:1 / 18
页数:18
相关论文
共 50 条
  • [21] BIFURCATION OF SOLUTIONS OF AN IMPULSIVE BOUNDARY-VALUE PROBLEM
    Boichuk, A. A.
    Chuiko, S. M.
    NONLINEAR OSCILLATIONS, 2008, 11 (01): : 18 - 28
  • [22] EXISTENCE OF SOLUTIONS TO AN IMPULSIVE DIRICHLET BOUNDARY VALUE PROBLEM
    Graef, John R.
    Heidarkhani, Shapour
    Kong, Lingju
    FIXED POINT THEORY, 2018, 19 (01): : 225 - 234
  • [23] Three solutions for a p-Laplacian boundary value problem with impulsive effects
    Bai, Liang
    Dai, Binxiang
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) : 9895 - 9904
  • [24] Multiple Positive Solutions of Periodic Boundary Value Problems for Second Order Impulsive Differential Equations
    Zhang, Xiaoying
    Guan, Lihong
    Yang, Lixian
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 802 - 810
  • [25] Multiple positive solutions of periodic boundary value problems for second order impulsive differential equations
    Tian, Yu
    Jiang, Daqing
    Ge, Weigao
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 123 - 132
  • [26] MULTIPLE POSITIVE SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEM VIA VARIATIONAL METHODS
    Tian, Yu
    Ge, Weigao
    TAMKANG JOURNAL OF MATHEMATICS, 2008, 39 (02): : 111 - 119
  • [27] MULTIPLE SOLUTIONS OF BOUNDARY VALUE PROBLEM
    Li, Yongjin
    Shu, Xiaobao
    Xu, Yuantong
    TAMKANG JOURNAL OF MATHEMATICS, 2006, 37 (02): : 149 - 154
  • [28] Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem
    Ferrara, Massimiliano
    Heidarkhani, Shapour
    Moradi, Shahin
    Caristi, Giuseppe
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (04)
  • [29] The Periodic Boundary Value Problem for a Quasilinear Evolution Equation in Besov Spaces
    Wu, Yun
    Liu, Zhengrong
    Zhang, Xiang
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [30] Weak Solutions for a p-Laplacian Antiperiodic Boundary Value Problem with Impulsive Effects
    Zhang, Keyu
    Xu, Jiafa
    Dong, Wei
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013