MULTIPLE SOLUTIONS FOR A NONLINEAR PERTURBED FRACTIONAL BOUNDARY VALUE PROBLEM

被引:0
作者
Heidarkhani, Shapour [1 ]
机构
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
来源
DYNAMIC SYSTEMS AND APPLICATIONS | 2014年 / 23卷 / 2-3期
关键词
Multiple solutions; perturbed fractional boundary value problem; critical point theory; variational methods; CRITICAL-POINT THEORY; DIFFERENTIAL-EQUATIONS; VARIATIONAL PRINCIPLE; ELLIPTIC PROBLEMS; EXISTENCE; THEOREM; ORDER;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of three distinct solutions for a nonlinear perturbed fractional boundary value problem under suitable assumptions on the nonlinear term is established. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces.
引用
收藏
页码:317 / 331
页数:15
相关论文
共 50 条
  • [21] INFINITELY MANY SOLUTIONS FOR A PERTURBED p-LAPLACIAN BOUNDARY VALUE PROBLEM WITH IMPULSIVE EFFECTS
    D'Agui, Giuseppina
    Heidarkhani, Shapour
    Sciammetta, Angela
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (12) : 2263 - 2274
  • [22] POSITIVE SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEM
    Sun, Yan
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2018, 19 (04): : 369 - 389
  • [23] On the solutions of a fractional boundary value problem
    Ugurlu, Ekin
    Baleanu, Dumitru
    Tas, Kenan
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (03) : 1307 - 1311
  • [24] Multiplicity of Solutions for a Class of Nonlinear Fractional Boundary Value Systems via Variational Approach
    Kamache, Fares
    Guefaifia, Ralik
    Boulaaras, Salah
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2022, 11 (04) : 789 - 803
  • [25] Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
    Xie, Wenzhe
    Xiao, Jing
    Luo, Zhiguo
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [26] MULTIPLE SOLUTIONS FOR PERTURBED p-LAPLACIAN BOUNDARY-VALUE PROBLEMS WITH IMPULSIVE EFFECTS
    Ferrara, Massimiliano
    Heidarkhani, Shapour
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [27] 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
  • [28] Solutions for a nonlinear fractional boundary value problem with sign-changing Greens function
    Ding, Youzheng
    Wei, Zhongli
    Zhao, Qingli
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 650 - 659
  • [29] Three solutions to a perturbed nonlinear discrete Dirichlet problem
    Candito, Pasquale
    D'Agui, Giuseppina
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (02) : 594 - 601
  • [30] Nonlinear fractional boundary value problem with not instantaneous impulse
    Gupta, Vidushi
    Dabas, Jaydev
    AIMS MATHEMATICS, 2017, 2 (02): : 365 - 376