Márquez Albés Ignacio and Slavík Antonín: The logistic equation in the context of Stieltjes differential and integral equations. (2023)
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Abstract
In this paper, we introduce logistic equations with Stieltjes derivatives and provide explicit solution formulas. As an application, we present a population model which involves intraspecific competition, periods of hibernation, as well as seasonal reproductive cycles. We also deal with various forms of Stieltjes integral equations, and find the corresponding logistic equations. We show that our work extends earlier results for dynamic equations on time scales, which served as an inspiration for this paper.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 10 |
| ISSN: | 1417-3875 |
| Number of Pages: | 35 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.10 |
| Uncontrolled Keywords: | Differenciálegyenlet, Integrálegyenlet |
| Additional Information: | Bibliogr.: p. 33-35. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 10:32 |
| Last Modified: | 2023. Nov. 16. 10:32 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82260 |
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