EIGENVALUE PROBLEM FOR FRACTIONAL DIFFERENCE EQUATION WITH NONLOCAL CONDITIONS

被引：1
|
作者：
Zhao, Yongshun [1 ]
Sun, Shurong [1 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 01期
关键词：
Boundary value problem; fractional difference equation; positive solutions; eigenvalue problem; fixed-point theorem; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; STABILITY;
D O I：
10.11948/20180305
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we investigate a class of boundary value problem for fractional difference equation with nonlocal conditions {Delta(nu)u(t) + lambda f(t + nu - 1, u(t + nu - 1)) = 0, t is an element of N-0(b+1), u(nu - 2) = h(u), Delta u(nu + b) = g(u), where 1 < nu <= 2 is a real number, f : N-nu-1(nu+b) x R -> (0, +infinity) is a continuous function, g, h are given functionals, b >= 2 is an integer, lambda > 0 is a parameter. By upper and lower solutions method, we can present the existence result of positive solutions. The eigenvalue intervals to this problem are studied by the properties of the Green function and Guo-Krasnosel'skii fixed point theorem in cones.
引用
收藏
页码：32 / 44
页数：13
相关论文
共 50 条
  • [1] EIGENVALUE PROBLEM FOR A NABLA FRACTIONAL DIFFERENCE EQUATION WITH DUAL NONLOCAL BOUNDARY CONDITIONS
    Gopal, N. S.
    Jonnalagadda, Jagan Mohan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (02): : 684 - 700
  • [2] A new eigenvalue problem for the difference operator with nonlocal conditions
    Sapagovas, Mifodijus
    Ciupaila, Regimantas
    Jakubeliene, Kristina
    Rutkauskas, Stasys
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (03): : 462 - 484
  • [3] THE EIGENVALUE PROBLEM FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATION WITH TWO-POINT NONLOCAL CONDITIONS
    Elsaid, Ahmed
    Helal, Shaimaa M.
    El-Sayed, Ahmed M. A.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (01): : 146 - 158
  • [4] Eigenvalue problem for nonlinear elastic beam equation of fractional order
    Khodabakhshi, Neda
    Vaezpour, S. Mansour
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (06): : 821 - 840
  • [5] Solvability for nonlinear fractional q-difference equations with nonlocal conditions
    Wang, Jufang
    Yu, Changlong
    Guo, Yanping
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2018, 30 (04) : 303 - 309
  • [6] Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
    Goodrich, Christopher S.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 191 - 202
  • [7] Multiple solutions for a nonlocal fractional boundary value problem with fractional integral conditions on infinite interval
    Aoun, Abdellatif Ghendir
    Djebali, Smail
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (06)
  • [8] EIGENVALUE PROBLEM FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
    Sun, Shurong
    Zhao, Yige
    Han, Zhenlai
    Liu, Jian
    ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (01): : 25 - 39
  • [9] Computation of positive solutions for nonlinear fractional q-difference equations with nonlocal conditions
    Wang, Jufang
    Yu, Changlong
    Guo, Yanping
    2015 7th International Conference on Modelling, Identification and Control (ICMIC), 2014, : 134 - 138
  • [10] Implicit Fractional Differential Equation with Nonlocal Fractional Integral Conditions
    Borisut, Piyachat
    Bantaojai, Thanatporn
    THAI JOURNAL OF MATHEMATICS, 2021, 19 (03): : 993 - 1003
12345