Zobrazeno 1 - 10
of 15
pro vyhledávání: '"S. N. Kiyasov"'
Autor:
S. N. Kiyasov
Publikováno v:
Russian Mathematics. 66:56-61
Autor:
S. N. Kiyasov
Publikováno v:
Russian Mathematics. 64:59-65
We consider a three-dimensional Riemann boundary value problem which has two particular solutions such that, for one of the components, the ratios of the boundary values coincide on the conjugation contour. It is shown that, under certain restriction
Autor:
S. N. Kiyasov
Publikováno v:
Russian Mathematics. 64:19-25
We show that if a three-dimensional linear conjugation problem has two particular solutions with coinciding ratios of boundary values of two their components, then its general solution can be obtained in closed form.
Autor:
S. N. Kiyasov
Publikováno v:
Russian Mathematics. 63:19-28
We consider the structure of the set of piecewise meromorphic solutions of a homogeneous linear conjugation problem for a four-dimensional vector. We show that in the presence of three piecewise meromorphic solutions to the linear conjugation problem
Autor:
S. N. Kiyasov
Publikováno v:
Siberian Mathematical Journal. 59:288-294
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
Autor:
S. N. Kiyasov
Publikováno v:
Lobachevskii Journal of Mathematics. 38:1131-1145
The notion of approximate factorization of a Holder matrix function on a simple smooth closed contour is introduced. The elements of a (2 × 2)-matrix function of a special form are approximated by polynomials in z and 1/z. Sufficient conditions for
Autor:
S. N. Kiyasov
Publikováno v:
Russian Mathematics. 60:1-10
We offer a method for building a canonical system of solutions of a linear conjugation problem for two-dimensional vector in the case where one of its solution is known.
Autor:
S. N. Kiyasov
Publikováno v:
Russian Mathematics. 59:25-40
We consider structure of the set of piecewise-meromorphic solutions of the homogeneouslinear conjugation problems for three-dimensional vector, and study their relations with a system of two problems of fractional-linear conjugation. The main result
Autor:
S. N. Kiyasov
Publikováno v:
Siberian Mathematical Journal. 56:313-329
We consider the structure of the set of piecewise meromorphic solutions for a homogeneous linear conjugation problem for a three-dimensional vector. We show that, in the presence of two piecewise meromorphic solutions to the linear conjugation proble
Autor:
S. N. Kiyasov
Publikováno v:
Russian Mathematics. 57:1-16
We consider the structure of the set of piecewise meromorphic solutions to the linear conjugation problem for a two-dimensional vector and study its relations with the fractional-linear conjugation problem. We prove that under the assumption of the p