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
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