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

被引：9

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

页码：303 / 311

页数：9

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