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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 |