Zobrazeno 1 - 10
of 40
pro vyhledávání: '"I. D. Kostrub"'
Autor:
I. D. Kostrub, A. I. Perov
Publikováno v:
Mathematical Notes. 113:480-487
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8137f04a72c3f36b8a8affa53193e24
https://doi.org/10.1134/s0001434623030203
https://doi.org/10.1134/s0001434623030203
Autor:
A. I. Perov, I. D. Kostrub
Publikováno v:
Differential Equations. 57:1565-1569
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9bdee0afafe99026c403235769ccf21
https://doi.org/10.1134/s0012266121120028
https://doi.org/10.1134/s0012266121120028
Publikováno v:
Differential Equations. 57:587-593
Various tests for the exponential stability of a linear system of ordinary differential equations are obtained by the method of frozen coefficients. To this end, we prove and use an improved Gelfand–Shilov estimate for the matrix exponential. The c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93053217d9db0687df1bb9fa9fbadec9
https://doi.org/10.1134/s0012266121050037
https://doi.org/10.1134/s0012266121050037
Autor:
I. D. Kostrub, A. I. Perov
Publikováno v:
Doklady Mathematics. 101:139-143
In a complex Banach algebra that is not assumed to be commutative, nth-order linear differential equations with constant coefficients are considered. The corresponding algebraic characteristic equation of the nth degree is assumed to have n distinct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc121aa2a0e71e592585ade3a889922d
https://doi.org/10.1134/s1064562420020179
https://doi.org/10.1134/s1064562420020179
Autor:
A. I. Perov, I. D. Kostrub
Publikováno v:
Doklady Mathematics. 98:425-429
To study a vector-matrix differential equation of order n, the method of integral equations is used. When the Lipschitz condition holds, an existence and uniqueness theorem for a bounded solution and its estimates are obtained. This solution is almos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2bf4b0f2af869fa89dbc55f51793be9b
https://doi.org/10.1134/s106456241806008x
https://doi.org/10.1134/s106456241806008x
Publikováno v:
Russian Mathematics. 62:60-73
In this paper we introduce and study a new concept of the absolute logarithmic norm, which has much in common with the classical definition of the logarithmic norm by S. M. Lozinskii. The the theory that we develop allows to obtain new facts from the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6295c2d95f501b0f6807f7becf0159c1
https://doi.org/10.3103/s1066369x18040072
https://doi.org/10.3103/s1066369x18040072
Autor:
A. I. Perov, I. D. Kostrub
Publikováno v:
Mathematical Notes. 101:677-687
In this paper, both well-known and new properties of the spectral abscissa and the logarithmic norm are described. In addition to well-known formulas for the norm of a matrix and for its logarithmic norm in cubic, octahedral, spherical norms, various
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1283da5eaad9c469f599b6da55266553
https://doi.org/10.1134/s0001434617030257
https://doi.org/10.1134/s0001434617030257
Publikováno v:
Differential Equations. 53:8-17
Linear differential operators (equations) of the second order in Banach spaces of vector functions defined on the entire real axis are studied. Conditions of their invertibility are given. The main results are based on putting a differential operator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f0a66c643b1a12a87e54ba0d0a4ce49
https://doi.org/10.1134/s0012266117010025
https://doi.org/10.1134/s0012266117010025
Autor:
I. D. Kostrub, A. I. Perov
Publikováno v:
Siberian Mathematical Journal. 57:650-665
To prove existence and uniqueness (or just existence) of a bounded solution to nonlinear differential equations of higher order, we employ the contraction mapping principle and the Tikhonov Fixed Point Theorem. A quantitative estimate of a nonlinear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d52e647e9396b34af0448bebbe19d8b
https://doi.org/10.1134/s003744661604008x
https://doi.org/10.1134/s003744661604008x
Autor:
Kostrub, I. D.
Publikováno v:
Functional Analysis & Its Applications; Dec2023, Vol. 57 Issue 4, p371-373, 3p