EXISTENCE RESULTS FOR NONLINEAR SECOND-ORDER q-DIFFERENCE EQUATIONS WITH q-INTEGRAL BOUNDARY CONDITIONS

被引：8
|
作者：
Saengngammongkhol, Thamonwan [1 ]
Kaewwisetkul, Bunjong [1 ]
Sitthiwirattham, Thanin [2 ]
机构：
[1] Rajamangala Univ Technol, Dept Math, Fac Liberal Arts, Rattanakosin, Nakhon Pathom, Thailand
[2] King Mongkuts Univ Technol North Bangkok, Dept Math, Fac Appl Sci, Bangkok, Thailand
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2015年 / 7卷 / 03期
关键词：
existence; q-derivative; q-integral; q-difference equation;
D O I：
10.7153/dea-07-17
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present some new existence and uniqueness results for the q-integral boundary value problem of nonlinear q-difference equation. Our results are based on Banach's contraction principle and Krasnowselskii's fixed point theorem. An example is given to illustrate the advantage of our results.
引用
收藏
页码：303 / 311
页数：9
相关论文
共 50 条
  • [11] Existence of solutions for nonlinear second-order q-difference equations with first-order q-derivatives
    Yu, Changlong
    Wang, Jufang
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [12] Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    BOUNDARY VALUE PROBLEMS, 2014,
  • [13] Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions
    Jessada Tariboon
    Sotiris K Ntouyas
    Boundary Value Problems, 2014
  • [14] Existence of solutions for nonlinear second-order q-difference equations with first-order q-derivatives
    Changlong Yu
    Jufang Wang
    Advances in Difference Equations, 2013
  • [15] Existence of positive strongly decaying solutions of second-order nonlinear q-difference equations
    Kostadinov, Katarina S.
    Manojlovic, Jelena V.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2020, 26 (06) : 729 - 752
  • [16] q-Integral Transforms for Solving Fractional q-Difference Equations
    Ismail, Mourad
    Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : 271 - 293
  • [17] UNIQUENESS OF SOLUTION FOR SECOND ORDER NONLINEAR q-DIFFERENCE EQUATIONS WITH MULTI-POINT AND INTEGRAL BOUNDARY CONDITIONS
    Adiguzel, Rezan Sevinik
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (08) : 1663 - 1672
  • [18] Multi-strip fractional q-integral boundary value problems for nonlinear fractional q-difference equations
    Pongarm, Nittaya
    Asawasamrit, Suphawat
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [19] Multi-strip fractional q-integral boundary value problems for nonlinear fractional q-difference equations
    Nittaya Pongarm
    Suphawat Asawasamrit
    Jessada Tariboon
    Sotiris K Ntouyas
    Advances in Difference Equations, 2014
  • [20] A Study of Nonlinear Fractional q-Difference Equations with Nonlocal Integral Boundary Conditions
    Alsaedi, Ahmed
    Ahmad, Bashir
    Al-Hutami, Hana
    ABSTRACT AND APPLIED ANALYSIS, 2013,
12345