Equilibrium Integral Equations with Kurtosian Kernels in Spaces of Various Dimensions

Equilibrium Integral Equations with Kurtosian Kernels in Spaces of Various Dimensions

Integral equations emerging in a model of stationary biological communities such that their kernels have variable coefficients of excess (kurtosian kernels)are investigated. The dependence of the first and second spatial moment on the dimension of the environment is considered. A fast-computation al...

Full description

Saved in:
Bibliographic Details
Published in:Moscow University computational mathematics and cybernetics Vol. 42; no. 3; pp. 105 - 113
Main Authors: Nikitin, A. A., Nikolaev, M. V.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 2018
Springer Nature B.V
Subjects:
Convolution
Dependence
Integral equations
Kernels
Mathematics
Mathematics and Statistics
integral equations
numerical methods
mathematical modelling
mathematical biology
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Integral equations emerging in a model of stationary biological communities such that their kernels have variable coefficients of excess (kurtosian kernels)are investigated. The dependence of the first and second spatial moment on the dimension of the environment is considered. A fast-computation algorithm for the multi-dimensional nonlinear convolution is considered. The existence of a radial solution is proved.
ISSN:0278-6419
1934-8428
DOI:10.3103/S0278641918030093