Zhang Yanlei and Abdella Kenzu and Feng Wenying: Positive solutions for second-order differential equations with singularities and separated integral boundary conditions. (2020)
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Abstract
We study the existence of positive solutions for second-order differential equations with separated integral boundary conditions. The nonlinear part of the equation involves the derivative and may be singular for the second and third space variables. The result ensures existence of a positive solution when the parameters are in certain ranges. The proof depends on general properties of the associated Green’s function and the Krasnosel’skii–Guo fixed point theorem applied to a perturbed Hammerstein integral operator. Both numerical and analytical examples are constructed to illustrate applications of the theorem to a group of equations. The result generalizes previous work.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 75 |
| ISSN: | 1417-3875 |
| Number of Pages: | 12 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2020.1.75 |
| Uncontrolled Keywords: | Másodrendű differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 11-12. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 05. 14:05 |
| Last Modified: | 2021. Nov. 05. 14:05 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73636 |
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