Minhós Feliz Manuel and Coxe Infelize: Solvability of generalized third-order coupled systems with two-point boundary conditions. In: Acta scientiarum mathematicarum, (84) 3-4. pp. 659-672. (2018)
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Abstract
In this paper we consider the nonlinear third-order coupled system composed by the differential equations. We remark that the nonlinearities can depend on all derivatives of both unknown functions, which is new in the literature, as far as we know. This is due to an adequate auxiliary integral problem with a truncature, applying lower and upper solutions method with bounded perturbations. The main theorem is an existence and localization result, which provides some qualitative data on the system solution, such as, sign, variation, bounds, etc., as it can be seen in the example.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2018 |
| Volume: | 84 |
| Number: | 3-4 |
| ISSN: | 0001-6969 |
| Page Range: | pp. 659-672 |
| Language: | English |
| Publisher: | Bolyai Institute, University of Szeged |
| Place of Publication: | Szeged |
| Official URL: | http://www.acta.hu |
| Related URLs: | http://acta.bibl.u-szeged.hu/56872/ |
| DOI: | 10.14232/actasm-017-785-0 |
| Uncontrolled Keywords: | Differenciálegyenlet - nemlineáris |
| Additional Information: | Bibliogr.: p. 671-672. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2019. Jan. 30. 06:20 |
| Last Modified: | 2026. Feb. 19. 15:16 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/56934 |
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