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

Autor: Keyu Zhang, Yaohong Li, Jiafa Xu, Donal O'Regan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 4, Pp 9146-9165 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023458?viewType=HTML
Popis: 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).
Databáze: Directory of Open Access Journals