|
Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 3, Pages 58–67
(Mi sjim624)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
On pointwise complete pairs of linear transformations
A. A. Korobov Sobolev Institute of Mathematics, SB RAS, Novosibirsk, RUSSIA
Abstract:
We prove the pointwise completeness of an $n$th order constant-coefficient system under the assumption that the matrices of the system split into same-size square blocks so that the collection of all blocks embeds into a finite dimensional associative division algebra; the block rank of the passive matrix is at most 2.
Keywords:
pointwise completeness of a system of ODE with delay.
Received: 24.11.2009
Citation:
A. A. Korobov, “On pointwise complete pairs of linear transformations”, Sib. Zh. Ind. Mat., 13:3 (2010), 58–67
Linking options:
https://www.mathnet.ru/eng/sjim624 https://www.mathnet.ru/eng/sjim/v13/i3/p58
|
Statistics & downloads: |
Abstract page: | 260 | Full-text PDF : | 83 | References: | 48 | First page: | 6 |
|