Zhang Guowei: Positive solutions to three classes of non-local fourth-order problems with derivative-dependent nonlinearities. (2022)
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Abstract
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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2022 |
| Number: | 11 |
| ISSN: | 1417-3875 |
| Number of Pages: | 27 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2022.1.11 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 25-27. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2022. May. 23. 15:49 |
| Last Modified: | 2022. May. 23. 15:49 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/75826 |
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