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


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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.

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M. Nikolaev

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

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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

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Email: nikitin@cs.msu.ru
俄罗斯联邦, Moscow, 119992; Moscow, 101000

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