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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2022 Volume 25, Number 4, Pages 42–53 (Mi sjim1194)

This article is cited in 1 paper

A method for solving one biological problem of large dimension

G. V. Demidenkoab

a Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
b Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia

Abstract: A system of ordinary differential equations of large dimension modeling multistage synthesis is considered. A new method for constructing an approximate solution of the Cauchy problem is proposed. The method is based on established connections between solutions of a system of differential equations, equations with a lagging argument and partial differential equations of parabolic type.

Keywords: a system of ordinary differential equations of large dimension, limit theorems, equations with lagging argument, equations with partial derivatives. .

UDC: 517.9

Received: 21.06.2022
Revised: 21.06.2022
Accepted: 22.06.2022

DOI: 10.33048/SIBJIM.2021.25.404



© Steklov Math. Inst. of RAS, 2025