Valerian Jiqia

Academic Doctor of Science

Vladimer Chavchanidze Institute of Cybernetics of the Georgian Technical University

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Singular Generalized Analytic Functions G. Giorgadze, V. Jikia, and G. MakatsariaarticleSpringer/ Journal of Mathematical Sciences, January 2019/vol. 237, No. 1, pp. 30-109Impact Factor: 0.42; SJR: 0.33 ISSN: 1072-3374 https://doi.org/10.1007/s10958-019-4143-7EnglishGrant Project
On special case of the boundary value problem for the Carleman-Bers-Vekua equation Jikia V.articleTbilisi University Press/ Proceedings of I. Vekua Institute of Applied Mathematics, 2019/vol. 69, pp. 47-520 ISSN 1512-004X EnglishGrant Project
On the Vortex equation on the complex plane G. Giorgadze, G. Akhalaia,V. Jikia articleTbilisi State University /Proc. I. Vekua institute of Applied Math. 2016/ vol. 66, pp.14-180 ISSN 1512-004X EnglishState Targeted Program
On analytic solutions of a system degenerate in a point V. JikiaarticleSpringer/Journal of Mathematical Sciences, January 2013/vol. 231, No. 4, pp. 175–180 Impact Factor: 0.42; SJR: 0.33 ISSN: 1072-3374 https://doi.org/10.1007/S10958-013-1572-6EnglishState Targeted Program
Elliptic systems on Riemann surfaces.G. Akhalaia, G. Giorgadze, V. Jikia, N. Kaldani, G. Makatsaria, N. ManjavidzetextbookTbilisi University Press/Lecture Notes of TICMI, 2012/vol.13, (155 pages) 0 ISSN 1512-0511 EnglishGrant Project
Relation between Beltrami and holomorphic disc equations. G. Giorgadze, V. JikiaarticleTbilisi University Press /Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 2011/vol. 25,pp. 57-600 ISSN:1512-0066 EnglishGrant Project
On the classes of functions induced by irregular Carleman–Vekua equationsV. JikiaarticleDe Gruyter Open Ltd./Georgian Mathematical Journal, July 2010/vol. 17, issue 3, pp. 511-528Impact Factor:0.39; SJR: 0.277 ISSN:1072-947X, E-ISSN: 572-9176 https://doi.org/10.1515/gmj.2010.031EnglishGrant Project

XXXV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State UniversityTbilisi, Georgia202121/04/2021-23/04/2021Ilia Vekua Institute of Applied MathematicsOn the integral equations induced from Bers- Carleman-Vekua irregular equations oral

In the report the integral equation of the third kindwhich are associated with the irregular Bers-Carleman-Vekua equations when the coefficients of equations belong to a wide class of functions will be discussed. It is shown that the irregular Bers-Carleman-Vekua equation and the corresponding integrated equations from this class have only a trivial solution in the class of analytic functions of two variables. The existence of a wide class of integral equations is proved, where the non-trivial solution does not existand it is shown that for such equations the Fredholm alternative does not hold.

http://www.viam.science.tsu.ge/enlarged/2021/abstracts_eng.pdf
XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics Tbilisi, Georgia202016/09/2020-19/09/2020 Ilia Vekua Institute of Applied Mathematics On the special case of the boundary value problem for Carleman-Bers-Vekua equation oral

The Riemann-Hilbert boundary problem (linear coupling problem) for the Carlemmann-Bers-Vekua equation when the transition function G (t) is given by a circle and has zeros and poles was discussed in the report. We have been presented a necessary and sufficient condition for solving the problem, as well as have been written the solution analytically.

http://www.viam.science.tsu.ge/enlarged/2020/abstracts.pdf
XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied MathematicsTbilisi, Georgia201923/04/2019-25/04/2019 Ilia Vekua Institute of Applied MathematicsSpecial case of the liner conjugation nohomogeneous boundary value problem for Carleman-Vekua irregular equationoral

The special case of the linear conjugation nonhomogeneous boundary value problem for CarlemanVekua irregular equation when the boundary function has zeros and poles at some points of the boundary curve is considered. The coefficients of this equation belong to sufficiently wide classes of functions which are the generalizations of Vekua classical space. The formula of the general solution and the necessary and sufficient solvability conditions of this problem are established.

http://www.viam.science.tsu.ge/enlarged/2019/abstracts_eng.pdf
II International Conference.Batumi, Georgia201115/09/2011-19/09/2011Georgian Mathematical UnionGenerating Triple for irregular Carlemann-Bers-Vekua Systemoral

We consider the impact generating triple for the following irregular Carlemann-Bers-Vekua System (see I.N. Vekua, Generalized analytic functions, Nauka, Moscow, 1988, and V. Jikia, Georgian Math. J., vol. 17, (2010)) on the classes of functions induced by irregular Carlemann-Bers-Vekua equations.

http://rmi.ge/~gmu/II_Annual_Conference/comming/Abstracts_Batumi_2011_Final.pdf

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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

Member of the editorial board of a peer-reviewed scientific or professional journal / proceedings

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Participation in a project / grant funded from the state budget


Elliptic systems on Riemann surfaces and its applicationShota Rustaveli National Science Foundation of Georgia.10/01/2010 - 10/01/2012Key personnel
Riemann-Hilbert problems on Riemann surface and invariant of holomorphic bundlesShota Rustaveli National Science Foundation of Georgia. 20/12/2017 -20/12 2020Key personnel

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

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National Award / Sectoral Award, Order, Medal, etc.

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Research articles in high impact factor and local Scientific Journals

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