Multiple positive solutions for nonlinear fractional q-difference equation with p-Laplacian operator

被引：6

作者：

Qin, Zhongyun ^{[1
]}

Sun, Shurong ^{[1
]}

Han, Zhenlai ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Dept Math, Jinan, Peoples R China

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 01期

关键词：

Fractional q-difference equation; p-Laplacian operator; mixed derivatives; positive solution; DYNAMIC EQUATIONS; Q-INTEGRALS; OSCILLATION;

D O I：

10.3906/mat-2108-34

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate a class of four-point boundary value problems of fractional q-difference equation with p-Laplacian operator which is the first time to be studied and is extended from a bending elastic beam equation. By Avery-Peterson theorem and the method of lower and upper solutions associated with monotone iterative technique, we obtain some sufficient conditions for the existence of multiple positive solutions. As applications, examples are presented to illustrate the main results.

引用

页码：638 / 661

页数：24

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