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Application of a Generalized Fixed Point Principle to the Study of a System of Nonlinear Integral Equations Arising in the Population Dynamics Modelстатья
- Авторы: Nikolaev M.V., Nikitin A.A., Dieckmann U.
- Журнал: Differential Equations
- Том: 58
- Номер: 9
- Год издания: 2022
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 1233
- Последняя страница: 1241
- Номер статьи: 8
- DOI: 10.1134/S0012266122090087
- Аннотация: The paper deals with the analysis of a system of nonlinear integral equations resulting from the three-parameter closure of the third spatial moment in the Dieckmann–Law model in the case of an n-species community in an N-dimensional space. For the analysis of its solvability, this system is represented as an operator equation in a Banach space of a special form.Sufficient conditions for the existence of a nontrivial solution are stated using a generalized fixed point principle.
- Добавил в систему: Никитин Алексей Антонович