Application of the Leray-Schauder Principle to the Analysis of a Nonlinear Integral Equation

We study a nonlinear integral equation arising from the parametric closure for the third spatial moment in the Dieckmann-Law model of stationary biological communities. The existence of a fixed point of the integral operator defined by this equation is analyzed. The noncompactness of the resulting operator is proved. Conditions are stated under which the equation in question has a nontrivial solution. © 2019, Pleiades Publishing, Ltd.

Авторы
Nikolaev M.V.1 , Nikitin A.A. 1, 2
Журнал
Номер выпуска
9
Язык
Английский
Страницы
1164-1173
Статус
Опубликовано
Том
55
Год
2019
Организации
  • 1 Lomonosov Moscow State University, Moscow, 119991, Russian Federation
  • 2 RUDN University, Moscow, 117198, Russian Federation
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/55046/
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