Variational Approach to Impulsive Problems: A Survey of Recent Results

被引：3
|
作者：
Liao, Fang-fang [1 ]
Sun, Juntao [2 ]
机构：
[1] Nanjing Coll Informat Technol, Nanjing 210046, Jiangsu, Peoples R China
[2] Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金;
关键词：
BOUNDARY-VALUE PROBLEM; PERIODIC-SOLUTIONS; EXISTENCE; MULTIPLICITY; SYSTEMS;
D O I：
10.1155/2014/382970
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a survey on the existence of nontrivial solutions to impulsive differential equations by using variational methods, including solutions to boundary value problems, periodic solutions, and homoclinic solutions.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] IMPULSIVE PERIODIC SOLUTIONS FOR SINGULAR PROBLEMS VIA VARIATIONAL METHODS
    Sun, Juntao
    O'Regan, Donal
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (02) : 193 - 204
  • [2] A variational approach to perturbed impulsive fractional differential equations
    Heidarkhani, S.
    Cabada, A.
    Afrouzi, G. A.
    Moradi, S.
    Caristi, G.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 341 : 42 - 60
  • [3] Variational approach to impulsive differential system
    Wu, Yanqiang
    Liu, Wenbin
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [4] DOUBLE PHASE PROBLEMS: A SURVEY OF SOME RECENT RESULTS
    Papageorgiou, Nikolaos S.
    OPUSCULA MATHEMATICA, 2022, 42 (02) : 257 - 278
  • [5] New results for impulsive fractional differential equations through variational methods
    Gao, Dongdong
    Li, Jianli
    MATHEMATISCHE NACHRICHTEN, 2021, 294 (10) : 1866 - 1878
  • [6] A VARIATIONAL APPROACH FOR BOUNDARY VALUE PROBLEMS FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
    Afrouzi, Ghasem A.
    Hadjian, Armin
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (06) : 1565 - 1584
  • [7] Variational approach to impulsive Neumann problems with variable exponents and two parameters
    Solimaninia, Arezoo
    Afrouzi, Ghasem A.
    Haghshenas, Hadi
    TAMKANG JOURNAL OF MATHEMATICS, 2024, 55 (03): : 203 - 221
  • [8] RECENT RESULTS ON THE CONTROLLABILITY OF LINEAR COUPLED PARABOLIC PROBLEMS: A SURVEY
    Ammar-Khodja, Farid
    Benabdallah, Assia
    Gonzalez-Burgos, Manuel
    de Teresa, Luz
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2011, 1 (03) : 267 - 306
  • [9] Variational Approach to Second-Order Impulsive Partial Differential Equations with Periodic Boundary Value Problems
    Li Haichun
    Zhang Yulong
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 821 - 825
  • [10] Variational approach to impulsive differential equations
    Nieto, Juan J.
    O'Regan, Donal
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 680 - 690
12345