dc.date.accessioned |
2019-01-22T20:34:22Z |
|
dc.date.available |
2019-01-22T20:34:22Z |
|
dc.date.issued |
2018 |
|
dc.identifier.issn |
0037-4466 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/147763 |
|
dc.description.abstract |
© 2018, Pleiades Publishing, Ltd. Establishing an analogy between the theories of Riemann–Hilbert vector problem and linear ODEs, for the n-dimensional homogeneous linear conjugation problem on a simple smooth closed contour Γ partitioning the complex plane into two domains D+and D−we show that if we know n−1 particular solutions such that the determinant of the size n−1 matrix of their components omitting those with index k is nonvanishing on D+∪ Γ and the determinant of the matrix of their components omitting those with index j is nonvanishing on Γ ∪ D−{∞}, where k, j= 1 , n¯ , then the canonical system of solutions to the linear conjugation problem can be constructed in closed form. |
|
dc.relation.ispartofseries |
Siberian Mathematical Journal |
|
dc.subject |
factorization |
|
dc.subject |
linear conjugation problem |
|
dc.subject |
matrix function |
|
dc.title |
Contribution to the General Linear Conjugation Problem for A Piecewise Analytic Vector |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
2 |
|
dc.relation.ispartofseries-volume |
59 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
288 |
|
dc.source.id |
SCOPUS00374466-2018-59-2-SID85046693512 |
|