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

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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… Click to show full 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.

Keywords: existence uniqueness; integral equation; uniqueness solution; equation; nonlinear integral; solution

Journal Title: Doklady Mathematics
Year Published: 2019

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