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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 528–546
(Mi smj2104)
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This article is cited in 16 scientific papers (total in 16 papers)
On a method of approximation of solutions to delay differential equations
G. V. Demidenkoab, I. A. Mel'nikab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
Abstract:
Connections between solutions to a class of systems of ordinary differential equations of a large dimension and delay equations are studied. A new method is justified for approximation of solutions to delay equations.
Keywords:
delay equation, limit theorems, generalized solution, Stirling inequality, Haar functions.
Received: 05.03.2010
Citation:
G. V. Demidenko, I. A. Mel'nik, “On a method of approximation of solutions to delay differential equations”, Sibirsk. Mat. Zh., 51:3 (2010), 528–546; Siberian Math. J., 51:3 (2010), 419–434
Linking options:
https://www.mathnet.ru/eng/smj2104 https://www.mathnet.ru/eng/smj/v51/i3/p528
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Abstract page: | 745 | Full-text PDF : | 168 | References: | 61 | First page: | 7 |
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