Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Yu. A. Konyaev"'
Autor:
Yu. A. Konyaev, D. A. Maslov
Publikováno v:
Mathematical Notes. 105:8-15
An asymptotic method for reducing nonautonomous systems of differential equations with matrices represented as sums of matrix functions of different periods to systems with almost-constant matrices is proposed. On the basis of the proposed method, su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bac841f569aab7c74c5eaa634d8cc61
https://doi.org/10.1134/s0001434619010024
https://doi.org/10.1134/s0001434619010024
Autor:
Yu. A. Konyaev, D. A. Maslov
Publikováno v:
Russian Mathematics. 61:54-60
We investigate a class of nonautonomous systems of ordinary differential equations whose matrix can be characterized as exponentially periodic. We develop the algorithm of spectral analysis of these systems. By this algorithm we prove reducibility th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6255168b018267b6ec84cd221b45f27f
https://doi.org/10.3103/s1066369x17100073
https://doi.org/10.3103/s1066369x17100073
Autor:
Yu. A. Konyaev, D. A. Maslov
Publikováno v:
Mathematical Notes. 101:260-264
An algorithm for the spectral analysis of nonautonomous systems of differential equations on the semiaxis whose matrix can be presented as the sum of exponential-type matrices is developed. This method, which is based on a version of the splitting me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1fe828a5afe6b12968f4471eec5a3610
https://doi.org/10.1134/s0001434617010308
https://doi.org/10.1134/s0001434617010308
Publikováno v:
Mathematical Notes. 95:202-205
The paper contains an asymptotic study of solutions of singularly perturbed boundary-value problems in the case of a limit operator with unstable spectrum. The main singularities of the solution are described and the principal term of the asymptotics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c57f97ce293cf22df8d0ddb9f77ef2a
https://doi.org/10.1134/s0001434614010210
https://doi.org/10.1134/s0001434614010210
Publikováno v:
Differential Equations. 49:760-764
We present a nonautonomous version of the splitting method and use it to construct an asymptotic solution of a nonautonomous gyro system in the critical case.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8d9eacad4ba98e5c4b0b01097823785
https://doi.org/10.1134/s0012266113060116
https://doi.org/10.1134/s0012266113060116
Asymptotic analysis of regularly and singularly perturbed problems and their applications in biology
Publikováno v:
Journal of Mathematical Sciences. 180:685-697
absolutely and uniformly converges in some norm as |e| 0 before the derivative in system (1) and means the possibility of the appearance of so-called boundary layers in some neighborhood of t = 0 with certain limitations on the spectrum of the matrix
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf09d69456cdd7bba2cd415066111c26
https://doi.org/10.1007/s10958-012-0665-y
https://doi.org/10.1007/s10958-012-0665-y
Publikováno v:
Differential Equations. 46:1511-1515
We suggest a constructive method for qualitative analysis of initial and many-point boundary value problems for nonautonomous systems of ordinary differential equations with polynomial matrix. Airy, Bessel, and Hermite equations and a number of appli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::754ce89d07f230b18b5656d558a97fa3
https://doi.org/10.1134/s0012266110100162
https://doi.org/10.1134/s0012266110100162
Autor:
Yu. A. Konyaev
Publikováno v:
Journal of Mathematical Sciences. 170:332-339
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::abfbf6d45344b53b7ba690ec260112a5
https://doi.org/10.1007/s10958-010-0089-5
https://doi.org/10.1007/s10958-010-0089-5
Autor:
Yu. A. Konyaev
Publikováno v:
Mathematical Notes. 81:477-482
We present a new method (the method of unitary transformations), which differs from the existing ones, for studying the stability and the norm of solutions of regular and singularly perturbed initial-value problems for nonautonomous linear and quasil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5043d1ec2c83232e4366b52793f57452
https://doi.org/10.1134/s0001434607030248
https://doi.org/10.1134/s0001434607030248
Autor:
Yu. A. Konyaev
Publikováno v:
Mathematical Notes. 79:886-891
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fc71e3884880e81e895e5f15dfc931f
https://doi.org/10.1007/s11006-006-0100-0
https://doi.org/10.1007/s11006-006-0100-0