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
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.
引用
收藏
页数:16
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共 37 条
  • [11] A variational approach to perturbed impulsive fractional differential equations
    Heidarkhani, S.
    Cabada, A.
    Afrouzi, G. A.
    Moradi, S.
    Caristi, G.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 341 : 42 - 60
  • [12] Nontrivial solutions for impulsive fractional differential systems through variational methods
    Heidarkhani, Shapour
    Salari, Amjad
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (10) : 6529 - 6541
  • [13] Hernández E, 2013, P AM MATH SOC, V141, P1641
  • [14] The existence of solutions for an impulsive fractional coupled system of (p, q)-Laplacian type without the Ambrosetti-Rabinowitz condition
    Li, Dongping
    Chen, Fangqi
    An, Yukun
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (05) : 1449 - 1464
  • [15] Existence of Positive Solutions for Multipoint Boundary Value Problem on the Half-Line with Impulses
    Li, Jianli
    Nieto, Juan J.
    [J]. BOUNDARY VALUE PROBLEMS, 2009,
  • [16] Variational methods to the second-order impulsive differential equation with Dirichlet boundary value problem
    Liu, Zhisu
    Chen, Haibo
    Zhou, Tiejun
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (06) : 1687 - 1699
  • [17] Mawhin J., 1989, CRITICAL POINT THEOR, DOI [10.1007/978-1-4757-2061-7, DOI 10.1007/978-1-4757-2061-7]
  • [18] Nesraoui R., 2021, NONLINEAR STUD, V28, P563
  • [19] Variational formulation of a damped Dirichlet impulsive problem
    Nieto, Juan J.
    [J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (08) : 940 - 942
  • [20] Variational approach to impulsive differential equations
    Nieto, Juan J.
    O'Regan, Donal
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 680 - 690