About the authors
| First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | Karabasheva E.N. ? post-graduate student E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1 |
| Title of the article | On solvability of homogeneous Hilbert problem with countable set of points discontinuities and of a different order two-side curling at infinity |
| Abstract. | In this article we consider the Hilbert boundary value problem with countable set of points of discontinuity of the first kind with a different order two-Side curling at infinity of edge conditions. The problem considered at the upper half-plane. The problem is in definition of the function analytical in special class of functions on the given boundary condition. This view of Hilbert boundary value problem it was not considered yet. Similar problem has been studied in Sandrygaylo I., Salimov R. and Shabalin P. papers. In this article we received formulas for general solutions, found the conditions for the existence and for the uniqueness of the problem, described the set of solutions in the case when solution is not unique, complete investigation of the solvability of problem with conditions, that described in the article. |
| Keywords. | The Hilbert boundary value problem, curling at infinity, infinite index, entire functions. |
| For citations: | Karabasheva E.N. On solvability of homogeneous Hilbert problem with countable set of points discontinuities and of a different order two-side curling at infinity // Izvestiya KGASU. 2014. №1(27) P.242-252. |
