On pointwise degenerate linear delay-differential systems with nonnilpotent matrices
- Authors: Korobov A.A.1,2
-
Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 11, No 3 (2017)
- Pages: 369-380
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212786
- DOI: https://doi.org/10.1134/S1990478917030085
- ID: 212786
Cite item
Abstract
Complete description is given of the linear pointwise degenerate fourth-order delay-differential systems (with constant coefficients) whose active matrix is semisimple and the passive matrix is nonnilpotent. These systems are described with the help of the language of geometrical invariants of certain elements of the semigroup generated by the matrices of the system.
About the authors
A. A. Korobov
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: korobov@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090