On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation
- Авторы: Nikolaev M.V.1, Nikitin A.A.1,2
-
Учреждения:
- Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- National Research University Higher School of Economics
- Выпуск: Том 100, № 2 (2019)
- Страницы: 485-487
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225727
- DOI: https://doi.org/10.1134/S1064562419050247
- ID: 225727
Цитировать
Аннотация
A nonlinear integral equation arising in the spatial model of biological communities developed by Austrian scientists Ulf Dieckmann and Richard Law is studied. Sufficient conditions for the existence of a solution of this equation (a fixed point of the integral operator) are found. The uniqueness of the solution is also analyzed.
Об авторах
M. Nikolaev
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Автор, ответственный за переписку.
Email: nikolaev.mihail@inbox.ru
Россия, Moscow, 119992
A. Nikitin
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University; National Research University Higher School of Economics
Автор, ответственный за переписку.
Email: nikitin@cs.msu.ru
Россия, Moscow, 119992; Moscow, 101000
Дополнительные файлы
