New conditions for pattern solutions of a Brusselator model
| العنوان: | New conditions for pattern solutions of a Brusselator model |
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| المؤلفون: | Manjun Ma, Jicheng Tao, Jia-yun Lin, Changqing Tong |
| المصدر: | Applied Mathematics-A Journal of Chinese Universities. 34:460-467 |
| بيانات النشر: | Springer Science and Business Media LLC, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Class (set theory), Degree (graph theory), Applied Mathematics, 010102 general mathematics, Mathematical proof, Critical value, 01 natural sciences, Implicit function theorem, 010101 applied mathematics, Linear map, Brusselator, Applied mathematics, 0101 mathematics, Mathematics |
| الوصف: | This paper is devoted to establishing a critical value of the concentration of one intermediary reactant which determines whether pattern solutions of a class of Brusselator models exist or not. We introduce a new method to compute the degree index of the related linear operator so that the obtained sufficient conditions are easier to verify than those in the known references. The proofs mainly rely on Leray-Schauder degree theory, implicit function theorem and analytical techniques. |
| تدمد: | 1993-0445 1005-1031 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::219b60d265cf0201a1878c8bda534e28 https://doi.org/10.1007/s11766-019-3597-1 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........219b60d265cf0201a1878c8bda534e28 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 19930445 10051031 |
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