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

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

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 no...

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Bibliographic Details
Main Authors: Keyu Zhang, Yaohong Li, Jiafa Xu, Donal O'Regan
Format: Article
Language:English
Published: AIMS Press 2023-02-01
Series:AIMS Mathematics
Subjects:
fourth-order differential equation
integral boundary value problem
topological degree
upper-lower solution
nontrivial solutions
extremal solutions
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023458?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023458?viewType=HTML

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