relation: http://acta.bibl.u-szeged.hu/75826/
title: Positive solutions to three classes of non-local fourth-order problems  with derivative-dependent nonlinearities
creator:  Zhang Guowei
subject: 01. Természettudományok
subject: 01.01. Matematika
description: In the article, we investigate three classes of fourth-order boundary value problems with dependence on all derivatives in nonlinearities under the boundary conditions involving Stieltjes integrals. A Gronwall-type inequality is employed to get an a priori bound on the third-order derivative term, and the theory of fixed-point index is used on suitable open sets to obtain the existence of positive solutions. The nonlinearities have quadratic growth in the third-order derivative term. Previous results in the literature are not applicable in our case, as shown by our examples.
date: 2022
type: Folyóirat
type: NonPeerReviewed
format: full
language: hu
identifier: http://acta.bibl.u-szeged.hu/75826/1/ejqtde_2022_011.pdf
identifier:    Zhang Guowei:   Positive solutions to three classes of non-local fourth-order problems with derivative-dependent nonlinearities.  (2022)   
language: eng