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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.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    A. V. Kalistratova & A. A. Nikitin

  2. National Research University Higher School of Economics, Moscow, 101000, Russia

    A. A. Nikitin

Authors
  1. A. V. Kalistratova
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  2. A. A. Nikitin
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Corresponding author

Correspondence to A. V. Kalistratova.

Additional information

Original Russian Text © A.V. Kalistratova, A.A. Nikitin, 2016, published in Doklady Akademii Nauk, 2016, Vol. 470, No. 6, pp. 656–659.

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Kalistratova, A.V., Nikitin, A.A. Study of Dieckmann’s equation with integral kernels having variable kurtosis coefficient. Dokl. Math. 94, 574–577 (2016). https://doi.org/10.1134/S1064562416050288

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  • DOI: https://doi.org/10.1134/S1064562416050288

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