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On the relationship between solutions of delay differential equations and infinite-dimensional systems of differential equations |
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| Authors: | G. V. Demidenko V. A. Likhoshvai A. V. Mudrov |
| Affiliation: | (1) Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia;(2) Institute of Cytology and Genetics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia;(3) Novosibirsk State University, Novosibirsk, Russia |
| Abstract: | We study the limit properties of solutions for a class of systems of ordinary differential equations as the number of equations and a certain parameter grow unboundedly. We show that the sequence of functions formed by the last components of solutions of such systems has a repeated limit. The limit function is a solution of a delay differential equation. Estimates of the convergence rate are obtained. |
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