Study of Dieckmann’s equation with integral kernels having variable kurtosis coefficient
- Authors: Kalistratova A.V.1, Nikitin A.A.1,2
 - 
							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://journals.rcsi.science/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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