| Autor: |
M. I., Boborakhimova |
| Předmět: |
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| Zdroj: |
Uzbek Mathematical Journal; 2022, Vol. 66 Issue 1, p76-84, 9p |
| Abstrakt: |
The work is devoted to the problem of existence and stability of periodic solutions of a coupled system of nonlinear parabolic equations. We consider strictly positive solutions of systems of competing species. It is known that in the presence of strictly positive solutions, new results on non-uniqueness and a number of other results are obtained that show how complex these systems can be. The approach to the problem is based on the method of upper and lower solutions and related monotonic iterations. This method leads to the existence of maximum and minimum periodic solutions, which can be calculated from a linear iterative process in the same way as for parabolic initial-boundary value problems. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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