Guram Kutateladze

Academic Doctor of Science

Muskhelishvili Institute of Computational Mathematics

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Master Theses Supervisor

Doctoral Thesis Supervisor/Co-supervisor

Scientific editor of monographs in foreign languages

Scientific editor of a monograph in Georgian

Editor-in-Chief of a peer-reviewed or professional journal / proceedings

Review of a scientific professional journal / proceedings

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Membership of the Georgian National Academy of Science or Georgian Academy of Agricultural Sciences

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Research articles in high impact factor and local Scientific Journals


On the boundary value problem of the finding two functions for a plane with linear cuts. Procc. of A. Razmadze Math. Inst., 139, 2005, 53-60.State Target Program

For a plane with rectilinear cuts lying along the segments of two mutually perpendicular straight lines we consider the problem on finding two piecewise holomorphic functions when in the boundary conditions for the cuts to the given value of the first function is added the conjugate value of the second one. The solution of the problem is constructed in two modes in the classes of N.Muskhelishvili, explicitly (in a closed form), by the Cauchy type integrals.

http://www.rmi.ge/proceedings/volumes/pdf/v139-5.pdf
On the boundary value problem of finding two piecewise holomorphic functions for multiply connected domains of special type. Proceedings of A. Razmadze Mathematical Institute; v. 140, 2006, 121-130. State Target Program

For multiply-connected domains of special type, i.e. for a plane and a half-plane with cuts, we consider boundary value problems of finding two piecewise holomorphic functions, when on the boundary of the domain to the given value of the first function the conjugate value of the second function is added. Solutions are constructed, in a closed form, in the Cauchy type integrals.

http://www.rmi.ge/proceedings/volumes/pdf/v140-10.pdf
To a question of calculation of pressure in the solution of one class of problems of the elasticity theory for a plane with cuts under the scheme of the approached calculation of Cauchy type integral, CST, 2009, No.4(21)State Target Program

The question of numerical realisation of solution of some boundary problems concerning appendices of a known problem of conjugate of the theory of holomorph functions is considered. In this case the corresponding problem is concretized in the form of a certain class of problems of the theory of elasticity for an infinite plane with the focused rectilinear cuts.

http://gesj.internet-academy.org.ge/en/list_aut_artic_en.php?b_sec=comp&list_aut=1898

Publication in Scientific Conference Proceedings Indexed in Web of Science and Scopus