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

页码：32 / 44

页数：13

共 50 条

[11] Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
Jufang Wang
Changlong Yu
Boya Zhang
Si Wang
Advances in Difference Equations, 2021
[12] Positive solutions for eigenvalue problems of fractional q-difference equation with φ-Laplacian
Wang, Jufang
Yu, Changlong
Zhang, Boya
Wang, Si
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[13] A fractional q-difference equation eigenvalue problem with p(t)-Laplacian operator
Zhai, Chengbo
Ren, Jing
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, 26 (03): : 482 - 501
[14] NONLOCAL FRACTIONAL SUM BOUNDARY VALUE PROBLEM FOR A COUPLED SYSTEM OF FRACTIONAL SUM-DIFFERENCE EQUATIONS
Kunnawuttipreechachan, Ekkachai
Promsakon, Chanon
Sitthiwirattham, Thanin
DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (01): : 73 - 92
[15] The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation
Helal, S. M.
Elmekawy, A.
ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (09) : 7103 - 7109
[16] An Eigenvalue Problem for a Fractional Differential Equation with an Iterated Fractional Derivative
Bensebaa, Salima
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[17] Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space Nonlocal eigenvalue type problem
Azroul, Elhoussine
Benkirane, Abdelmoujib
Srati, Mohammed
ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1599 - 1617
[18] The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
Zhang, Xinguang
Liu, Lishan
Wu, Yonghong
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) : 8526 - 8536
[19] Positive Solutions of Nonlinear Eigenvalue Problems for a Nonlocal Fractional Differential Equation
Han, Xiaoling
Gao, Hongliang
MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
[20] Positive solutions to boundary value problems of fractional difference equation with nonlocal conditions
Kang, Shugui
Li, Yan
Chen, Huiqin
ADVANCES IN DIFFERENCE EQUATIONS, 2014,

← 1 2 3 4 5 →