Variational approach to instantaneous and noninstantaneous impulsive system of differential equations

被引：3
作者：
Yao, Wangjin [1 ]
机构：
[1] Putian Univ, Key Lab Appl Math Fujian Prov Univ, Sch Math & Finance, Putian 351100, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2022年 / 2022卷 / 01期
关键词：
Differential equation; Instantaneous impulse; Noninstantaneous impulse; Variational methods; BOUNDARY-VALUE PROBLEM; COUPLED SYSTEM; EXISTENCE;
D O I：
10.1186/s13661-022-01653-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence and multiplicity of solutions for a coupled system of differential equations with instantaneous and noninstantaneous impulses are studied. By the virtue of variational methods, some new existence theorems of solutions are obtained. In addition, two examples are given to demonstrate our main results.
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页数：16
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共 37 条
  • [1] Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions
    Ahmad, Bashir
    Nieto, Juan J.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) : 3291 - 3298
  • [2] Variational approach to non-instantaneous impulsive nonlinear differential equations
    Bai, Liang
    Nieto, Juan J.
    Wang, Xiaoyun
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2440 - 2448
  • [3] Variational approach to differential equations with not instantaneous impulses
    Bai, Liang
    Nieto, Juan J.
    [J]. APPLIED MATHEMATICS LETTERS, 2017, 73 : 44 - 48
  • [4] Nonlinear boundary value problem of first order impulsive functional differential equations
    Chen, LJ
    Sun, JT
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (02) : 726 - 741
  • [5] Chen YB, 2020, J CONTEMP CHINA, V29, P1, DOI [10.1080/10670564.2019.1621526, 10.1007/s12652-020-02066-z, 10.1080/01932691.2020.1791172]
  • [6] Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay
    Colao, Vittorio
    Muglia, Luigi
    Xu, Hong-Kun
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2016, 195 (03) : 697 - 716
  • [7] Nonlinear elliptic systems
    Defigueiredo, CG
    [J]. ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 2000, 72 (04): : 453 - 469
  • [8] Multiple solutions for Dirichlet impulsive equations
    Ferrara, Massimiliano
    Heidarkhani, Shapour
    Pizzimenti, Pasquale F.
    [J]. ADVANCES IN NONLINEAR ANALYSIS, 2014, 3 : S89 - S98
  • [9] Graef JR, 2022, B IRAN MATH SOC, V48, P1413, DOI 10.1007/s41980-021-00589-5
  • [10] Heidarkhani S, 2019, TWMS J APPL ENG MATH, V9, P646
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