V. A. Likhoshvai, S. I. Fadeev, G. V. Demidenko, Yu. G. Matushkin, “Modeling nonbranching multistage synthesis by an equation with retarded argument”, Sib. Zh. Ind. Mat., 2004, Volume 7, Number 1,Pages <nobr>73

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Modeling nonbranching multistage synthesis by an equation with retarded argument

V. A. Likhoshvai^a, S. I. Fadeev^b, G. V. Demidenko^b, Yu. G. Matushkin^a

^a Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We present the results of investigating a mathematical model of the nonbranching multistage synthesis of a substance. We show that in the passage to the limit in which the model has infinitely many stages we obtain an equation with retarded argument. We describe the properties of the solutions of the finite-dimensional model and of the equation with retarded argument.

UDC: 519.61:577.21

Received: 10.11.2003