%0 Generic
%A  Zhang Guowei
%C Szeged
%D 2022
%F acta:75826
%K Differenciálegyenlet
%N 11
%T Positive solutions to three classes of non-local fourth-order problems  with derivative-dependent nonlinearities
%U http://acta.bibl.u-szeged.hu/75826/
%X 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.
%Z Bibliogr.: p. 25-27. ; összefoglalás angol nyelven