On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation


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Resumo

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.

Sobre autores

M. Nikolaev

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

Autor responsável pela correspondência
Email: nikolaev.mihail@inbox.ru
Rússia, Moscow, 119992

A. Nikitin

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University; National Research University Higher School of Economics

Autor responsável pela correspondência
Email: nikitin@cs.msu.ru
Rússia, Moscow, 119992; Moscow, 101000

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