Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem

被引：2
作者：
Zhang, Keyu [1 ]
Li, Yaohong [2 ]
Xu, Jiafa [3 ]
O'Regan, Donal [4 ]
机构：
[1] Qilu Normal Univ, Sch Math, Jinan 250013, Peoples R China
[2] Suzhou Univ, Sch Math & Stat, Suzhou 234000, Peoples R China
[3] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[4] Univ Galway, Sch Math & Stat Sci, Galway, Ireland
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 04期
关键词：
fourth-order differential equation; integral boundary value problem; topological degree; upper-lower solution; nontrivial solutions; extremal solutions; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE; BEAM; EIGENVALUE;
D O I：
10.3934/math.2023458
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an existence theorem on nontrivial solutions), when the nonlinearity satisfies a one-sided Lipschitz condition (we use the method of upper-lower solutions to obtain extremal solutions).
引用
收藏
页码：9146 / 9165
页数：20
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