TY  - GEN
Y1  - 2022///
AV  - public
CY  - Szeged
A1  -  Zhang Guowei
UR  - http://acta.bibl.u-szeged.hu/75826/
TI  - Positive solutions to three classes of non-local fourth-order problems
with derivative-dependent nonlinearities
EP  - 27
ID  - acta75826
KW  - Differenciálegyenlet
SN  - 1417-3875
N2  - 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.
N1  - Bibliogr.: p. 25-27. ; összefoglalás angol nyelven
ER  -