On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation
- Авторлар: Nikolaev M.V.1, Nikitin A.A.1,2
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Мекемелер:
- Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- National Research University Higher School of Economics
- Шығарылым: Том 100, № 2 (2019)
- Беттер: 485-487
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225727
- DOI: https://doi.org/10.1134/S1064562419050247
- ID: 225727
Дәйексөз келтіру
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.
Авторлар туралы
M. Nikolaev
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: nikolaev.mihail@inbox.ru
Ресей, Moscow, 119992
A. Nikitin
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University; National Research University Higher School of Economics
Хат алмасуға жауапты Автор.
Email: nikitin@cs.msu.ru
Ресей, Moscow, 119992; Moscow, 101000
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