UNIQUENESS OF SOLUTIONS FOR AN INTEGRAL BOUNDARY VALUE PROBLEM WITH FRACTIONAL Q-DIFFERENCES

被引：4

作者：

Cui, Yaqiong ^{[1
]}

Kang, Shugui ^{[1
]}

Chen, Huiqin ^{[1
]}

机构：

[1] Shanxi Datong Univ, Sch Math & Comp Sci, Datong 037009, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fractional q-difference equation; integral boundary value condition; the first eigenvalue; uniqueness of solutions; POSITIVE SOLUTIONS;

D O I：

10.11948/2018.524

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with uniqueness of solutions for integral boundary value problem {(D(q)(alpha)u)(t)+ f(t,u(t)) = 0, t is an element of (0,1), where alpha is an element of (2, 3], u(0) = D(q)u(0) = 0, u(1) = lambda integral(1)(0) u(s)d(q)s, lambda is an element of (0, [alpha](q)), D-q(alpha) denotes the q-fractional differential operator of order alpha. By using the iterative method and one new fixed point theorem, we obtain that there exist a unique nontrivial solution and a unique positive solution.

引用

页码：524 / 531

页数：8

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