Study of Dieckmann’s equation with integral kernels having variable kurtosis coefficient
- Authors: Kalistratova A.V.1, Nikitin A.A.1,2
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- National Research University Higher School of Economics
- Issue: Vol 94, No 2 (2016)
- Pages: 574-577
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/224386
- DOI: https://doi.org/10.1134/S1064562416050288
- ID: 224386
Cite item
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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