Geodesic
On properties of solutions to one system modeling a multistage substance synthesis
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 3, pp. 86-94 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Cauchy problem for a system of ordinary differential equations modeling a multistage substance synthesis is considered. We study properties of the last component of its solution, describing the concentration of the synthesis product, as a function of the parameter $\tau$ characterizing the total time of the synthesis process. The continuous dependence on $\tau$ is established, estimates for the continuity module are obtained. We prove the uniform convergence as $\tau \to 0$; moreover, the limit function is a solution to the Cauchy problem for one ordinary differential equation. 
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I. I. Matveeva; A. M. Popov. On properties of solutions to one system modeling a multistage substance synthesis. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 3, pp. 86-94. http://geodesic.mathdoc.fr/item/VNGU_2009_9_3_a5/

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