ON THE EXISTENCE OF POSITIVE SOLUTIONS OF A NONLINEAR q-DIFFERENCE EQUATION

被引：0
|
作者：
Hassan, H. A. [1 ]
El-Shahed, Moustafa [2 ]
Mansour, Z. S. [3 ]
机构：
[1] PAAET, Fac Basic Educ, Dept Math, Shamiya, Kuwait
[2] Coll Educ, Qasssim Unizah, Saudi Arabia
[3] King Saudi Univ, Fac Sci, Dept Math, Riyadh 11451, Saudi Arabia
来源：
FIXED POINT THEORY | 2012年 / 13卷 / 02期
关键词：
Boundary-value problem; q-difference equation; Green's function; Krasnoselskii's fixed-point theorem; BOUNDARY-VALUE PROBLEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a boundary value problem of the nonlinear q-difference equation - D(q)(2)u(t) = f(t, u(t)), with some boundary conditions. Under certain conditions on f, the existence of positive solutions is obtained by applying a fixed point theorem in cones.
引用
收藏
页码：517 / 526
页数：10
相关论文
共 50 条
  • [1] Existence of positive solutions of nonlinear fractional q-difference equation with parameter
    Li, Xinhui
    Han, Zhenlai
    Sun, Shurong
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [2] Existence of positive solutions of nonlinear fractional q-difference equation with parameter
    Xinhui Li
    Zhenlai Han
    Shurong Sun
    Advances in Difference Equations, 2013
  • [3] On existence of meromorphic solutions for nonlinear q-difference equation
    Peng, Changwen
    Huang, Huawei
    Tao, Lei
    SCIENCEASIA, 2023, 49 (03): : 369 - 376
  • [4] POSITIVE SOLUTIONS OF q-DIFFERENCE EQUATION
    El-Shahed, Moustafa
    Hassan, H. A.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (05) : 1733 - 1738
  • [5] Existence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
    Xinhui Li
    Zhenlai Han
    Shurong Sun
    Ping Zhao
    Advances in Difference Equations, 2014
  • [6] Existence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
    Li, Xinhui
    Han, Zhenlai
    Sun, Shurong
    Zhao, Ping
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [7] On existence of meromorphic solutions for certain q-difference equation
    Peng, Changwen
    Chen, Zongxuan
    Huang, Huawei
    Tao, Lei
    SCIENCEASIA, 2023, 49 (01): : 49 - 55
  • [8] Existence of positive solutions for two-point boundary value problems of nonlinear fractional q-difference equation
    Guo, Caixia
    Guo, Jianmin
    Gao, Ying
    Kang, Shugui
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [9] Existence of positive solutions for two-point boundary value problems of nonlinear fractional q-difference equation
    Caixia Guo
    Jianmin Guo
    Ying Gao
    Shugui Kang
    Advances in Difference Equations, 2018
  • [10] Existence of Extremal Solutions for a Nonlinear Fractional q-Difference System
    Min Jiang
    Shouming Zhong
    Mediterranean Journal of Mathematics, 2016, 13 : 279 - 299
12345