On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation
- 作者: Nikolaev M.V.1, Nikitin A.A.1,2
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隶属关系:
- Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- National Research University Higher School of Economics
- 期: 卷 100, 编号 2 (2019)
- 页面: 485-487
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225727
- DOI: https://doi.org/10.1134/S1064562419050247
- ID: 225727
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详细
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.
作者简介
M. Nikolaev
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: nikolaev.mihail@inbox.ru
俄罗斯联邦, Moscow, 119992
A. Nikitin
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University; National Research University Higher School of Economics
编辑信件的主要联系方式.
Email: nikitin@cs.msu.ru
俄罗斯联邦, Moscow, 119992; Moscow, 101000
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