Zhu Ningning and Hu Dongpo and Bi Huili: Coexisting steady-state solutions of a class of reaction-diffusion systems with different boundary conditions. (2025)
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Abstract
In this work, we investigate a class of reaction-diffusion system in which both species are influenced by self-diffusion. By introducing two particular functions, we provide a complete characterization of the parameter ranges such that coexisting steady-state solutions of the system do not exist under three boundary conditions. Then based on the maximum principle, a sufficient condition for the existence of constant coexisting solutions of the system under Neumann boundary conditions was derived.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2025 |
| Number: | 38 |
| ISSN: | 1417-3875 |
| Number of Pages: | 14 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2025.1.38 |
| Uncontrolled Keywords: | Reakció-diffúziós rendszer |
| Additional Information: | Bibliogr.: p. 13-14. ; ill. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2025. Nov. 20. 08:16 |
| Last Modified: | 2025. Nov. 20. 08:16 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/88918 |
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