Equilibrium Integral Equations with Kurtosian Kernels in Spaces of Various Dimensions

Abstract

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.