Zobrazeno 1 - 10
of 22
pro vyhledávání: '"L. A. Aksent′ev"'
Autor:
L. A. Aksent’ev, N. R. Abubakirov
Publikováno v:
Lobachevskii Journal of Mathematics. 42:776-784
In this paper, we investigate the inverse problem of a simple layer potential where, by the known values of the potential gradient given as a finite series in a neighborhood of the point at infinity, we search for a simple closed contour with gravita
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb26deed2e15df03b1012bf1d5c30611
https://doi.org/10.1134/s1995080221040028
https://doi.org/10.1134/s1995080221040028
Autor:
N. R. Abubakirov, L. A. Aksent’ev
Publikováno v:
Russian Mathematics. 64:1-10
With the help of Cauchy-type integrals, a new derivation of integral equations for solving logarithmic potential problems is given. A variant of the inverse logarithmic potential problem with two starlike solutions is analyzed; it contains fewer para
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d9e45584bf3beb24b40883e1e00c536
https://doi.org/10.3103/s1066369x20110018
https://doi.org/10.3103/s1066369x20110018
Autor:
L. A. Aksent’ev, N. R. Abubakirov
Publikováno v:
Lobachevskii Journal of Mathematics. 40:1146-1156
We discuss the capabilities of A. V. Tsirulsky’s method in the solution of direct problems of the logarithmic potential. We give classification of the Schwarz functions that arise in construction of the solutions and study the cases of finite-sheet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45d4d0b758e760de90a273fce49e085f
https://doi.org/10.1134/s1995080219080031
https://doi.org/10.1134/s1995080219080031
Autor:
N. R. Abubakirov, L. A. Aksent’ev
Publikováno v:
Lobachevskii Journal of Mathematics. 39:151-160
We obtain a new class of solutions to the inverse problems of the logarithmic potential in the form of a logarithmic function of a ratio of polynomials of the same degree. We give examples of finite solvability of the inverse problems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab6aee0d9f1ea25948e51d8d302c48c9
https://doi.org/10.1134/s1995080218020026
https://doi.org/10.1134/s1995080218020026
Autor:
V. V. Goryainov, A. M. Bikchentaev, L. A. Aksent'ev, A. M. Elizarov, A. Laptev, Vladimir D. Stepanov, Armen Sergeev, Vladimir Nikolaevich Dubinin, D. V. Prokhorov, Alexander Ivanovich Aptekarev, S. R. Nasyrov, I. R. Kayumov
Publikováno v:
Russian Mathematical Surveys. 73:181-185
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09d00c06b27e0d25b72ec0287d7b3591
https://doi.org/10.1070/rm9809
https://doi.org/10.1070/rm9809
Autor:
K. G. Garaev, L. A. Aksent’ev
Publikováno v:
Russian Mathematics. 61:81-84
Based on the modified theory of invariant variational problems developed by the author, we describe a theoretical group approach to the problem of brachistochrone.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a77389f74d5c8f8eb729c3fa9f4c2f8b
https://doi.org/10.3103/s1066369x17010108
https://doi.org/10.3103/s1066369x17010108
Autor:
N. R. Abubakirov, L. A. Aksent’ev
Publikováno v:
Russian Mathematics. 60:55-58
In this paper we deduce a new solution set of inverse problems of the logarithmic potential in the form of a logarithmic function of the ratio of equal degree polynomials and give examples of the finite solvability of inverse problems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4b549cf97fb5f6cf4af4351eedc4949
https://doi.org/10.3103/s1066369x1610008x
https://doi.org/10.3103/s1066369x1610008x
Autor:
L. A. Aksent’ev, A. N. Akhmetova
Publikováno v:
Lobachevskii Journal of Mathematics. 36:103-108
We introduce Gakhov’s radius as the radius of the largest circle rE, 0 < r ≤ 1, E = {ζ: |ζ| < 1}, inside of which the external inverse boundary value problem possesses unique solution. We find the Gakhov’s radius and convexity radius for seve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39b09cfb469934a508233e7db7ee8567
https://doi.org/10.1134/s1995080215020043
https://doi.org/10.1134/s1995080215020043
Autor:
L. A. Aksent’ev, N. R. Abubakirov
Publikováno v:
Siberian Mathematical Journal. 56:9-20
The article presents new explicit forms of the Schwarz integral in an annulus. Some correspondence is obtained between the Fourier series for the boundary values of the Schwarz problem and the Laurent series for a regular function f(z) that is the so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9373f9cdce6b357b6f5c003a0e91f7a7
https://doi.org/10.1134/s0037446615010024
https://doi.org/10.1134/s0037446615010024
Autor:
L. A. Aksent′ev, T. N. Arutyunyan, A. E. Ètkin, V. A. Kasimov, V. È. Katsnel′son, A. S. Madgerova, Algis Morkeliūnas, I. R. Nezhmetdinov, S. Ya. Novikov, M. I. Ostrovskiĭ, E. M. Semenov, E. V. Tokarev, V. S. Vladimirov, N. V. Zabolotskiĭ
Covers a range of topics including integral representations, complex analysis, differential equations, and functional analysis.
