Study of Dieckmann’s equation with integral kernels having variable kurtosis coefficient


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Abstract

An integral equation arising in a spatial model of stationary communities developed by the Austrian scientists Ulf Dieckmann and Richard Low is studied. A special case of this equation with integral kernels being Student distributions is considered. The existence of a solution in this case is proved, and the application of a method for reducing the dimension of a multidimensional integral equation previously proposed by the authors is described.

About the authors

A. V. Kalistratova

Faculty of Computational Mathematics and Cybernetics

Author for correspondence.
Email: kanast74@gmail.com
Russian Federation, Moscow, 119991

A. A. Nikitin

Faculty of Computational Mathematics and Cybernetics; National Research University Higher School of Economics

Email: kanast74@gmail.com
Russian Federation, Moscow, 119991; Moscow, 101000

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