Open AccessOn the existence and uniqueness of the solution of a nonlinear integral equation
Author(s) -
M. V. Nikolaev,
M. V. Nikolaev,
А. А. Никитин,
А. А. Никитин
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524886595-598
Subject(s) - uniqueness , integral equation , mathematics , nonlinear system , fixed point theorem , operator (biology) , mathematical analysis , physics , chemistry , biochemistry , repressor , quantum mechanics , transcription factor , gene
In this paper we study the nonlinear integral equation that arose in the spatial model of biological communities developed by Austrian scientists Ulf Dieckmann and Richard Law. Sufficient conditions for the existence of the solution of this equation (the fixed point of the integral operator) were found. The question of uniqueness of the solution is also studied.