Email this article On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation
- Authors: Nikolaev M.V.1, Nikitin A.A.1,2
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- National Research University Higher School of Economics
- Issue: Vol 100, No 2 (2019)
- Pages: 485-487
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225727
- DOI: https://doi.org/10.1134/S1064562419050247
- ID: 225727
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Abstract
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.
About the authors
M. V. Nikolaev
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
Author for correspondence.
Email: nikolaev.mihail@inbox.ru
Russian Federation, Moscow, 119992
A. A. Nikitin
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University; National Research University Higher School of Economics
Author for correspondence.
Email: nikitin@cs.msu.ru
Russian Federation, Moscow, 119992; Moscow, 101000
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