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In 1987 he received the academic rank of docent (associate professor) at the
Department of Mathematics and Mathematical Modeling and in 1990–1994 he headed the Faculty of Informatics and Applied Mathematics as Deputy dean. In 1992 he was appointed Dean of the same Faculty. From 1994 to 2000 he was
662:
Tananyan H.G., Karapetyan G.A., The
Application of Newton's diagram method in the method of small parameter for regular hypoelliptic equations in the half-space // Collection of Scientific Articles. Annual Conference (6–10 December 2010). Physical, mathematical and natural sciences. Yerevan. RAU,
673:
Tananyan H.G., Karapetyan G.A., The small parameter method for the approximation of the eigenvalues of hypoelliptic operators in the half-space // Collection of
Scientific Articles. 6th Annual Conference (5–9 December 2011). Physical, mathematical and natural sciences. Yerevan. RAU, 43–51,
442:. He continued his research in the related sphere and in 2008 he got the certificate of Doctor of Physico-mathematical Sciences in the Russian Federation and the academic rank of Professor of the Russian Federation. From 2008 to November, 2018 he was a member of the Scientific Council of
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Main scientific papers are dedicated to differential equations, elliptic and hypoelliptic equations, the study of the properties of functions in different multianisotropic spaces, integral representations and embedding theorems for functions in multianisotropic spaces.
616:
Karapetyan G.A., Darbinyan A.A., Index of the semi-elliptic operator with variable coefficients of special type // Collection of
Scientific Articles. Annual Conference (28 November – 2 December 2006). Physical, mathematical and natural sciences. Yerevan. RAU, 20–24,
646:
Tananyan H.G., Karapetyan G.A., Degenerate semi-elliptic equations with constant coefficients in the half-space // Collection of
Scientific Articles. Annual Conference (5–10 December 2008). Physical, mathematical and natural sciences. Yerevan. RAU, 27–30,
686:
Karapetyan G.A., Integral representation through the differentiation operator and embedding theorems for multianisotropic spaces // International
Conference Harmonic Analysis and Approximations, VI, Tsaghkadzor, Armenia, pp. 46–48, 12–18 September
658:
Tananyan H.G., Karapetyan G.A., The small parameter method for regular hypoelliptic equations with variable coefficients in the half-space // 3rd
Russian-Armenian Conference on Mathematical Physics, Complex Analysis and Related Topics, Yerevan, 2010,
632:
Karapetyan G.A., Darbinyan A.A., Index of the semi-elliptic operator with constant coefficients in a domain // Collection of
Scientific Articles. Annual Conference (3–7 December 2007). Physical, mathematical and natural sciences. Yerevan. RAU, 45–53,
414:
and got the degree of
Bachelor of Science, receiving a diploma with honors. From October, 1980 to April, 1983 he was doing his PhD thesis at the Department of Differential Equations and Functional Analysis, Faculty of Mechanics and Mathematics,
669:
Karapetyan G.A., Darbinyan A.A., Index of the semi-elliptic operator with variable coefficients // Collection of
Scientific Articles. 6th Annual Conference (5–9 December 2011). Physical, mathematical and natural sciences. Yerevan. RAU, 5–11,
701:
Karapetyan G.A., Arakelyan M.K., Estimation of multianisotropic kernels and its application to the embedding theorems // AMU, Annual Session 2016, Dedicated to the 110th Anniversary of Artashes Shahinyan, Yerevan, pp. 68–69, 31.05.16 –
650:
Tananyan H.G., Karapetyan G.A., Degeneration of Semielliptic Equations with Constant Coefficients in Rectangular Parallelepipeds // Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) Vol. 45, Number 2 (2010),
642:
Karapetyan G.A., Darbinyan A.A., Noethericity of the regular operator with constant coefficients in R^n // Scientific conference dedicated to the 80thanniversary of the academician Sergey Mergelyan. (20–21 May 2008). pp. 27–28.
449:
From 2015 to May, 2018 he was Deputy director of the Institute of Mathematics and High Technology of the same university. Later in 2015 to November, 2018 he also was Director of the Applied Mathematics and Informatics program,
696:
Karapetyan G.A., Integral Representations of Functions and Embedding Theorems for Multianisotropic Spaces on the Plane with One Anisotropy Vertex // Journal of Contemporary Mathematical Analysis, 2016, Vol. 51, No. 6, pp.
791:
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Karapetyan G.A., An Integral Representation and Embedding Theorems in the Plane for Multianisotropic Spaces // Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017, Vol. 52, No. 6, pp.
621:
Karapetyan G.A., Darbinyan A.A., On the index of the semi-elliptic operator in R^n // Proceedings of the NAS of Armenia. Math., vol.42, №5, 33–50, 2007. (Englishtranslation; J. of Contemporary Math. Analysis).
654:
Karapetyan G.A., Darbinyan A.A., Index of the regular operator with constant coefficients in a domain // 3rd Russian-Armenian Conference on Mathematical Physics, Complex Analysis and Related Topics, 91–94,
757:
Karapetyan G.A., Khachaturyan M. A. Limiting Embedding Theorems for Multianisotropic Functional Spaces // Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2019, Vol. 54, No. 2,
683:
Karapetyan G.A., On the stabilization at infinity to a polynomial of solutions of regular equations. Theory of operators and its applications // International Conference, Rostov-on-Don, 25.04.15 – 29.04.15.
579:
Karapetyan G.A., On the stabilization at infinity to a polynomial of solutions for one class of hypoelliptic equations // Fourth conference on differential equations and applications, Rousse 89, Bulgaria,
709:-dimensional multianisotropic spaces with two points of anisotropicity // AMU, Annual Session 2016, Dedicated to the 110th Anniversary of Artashes Shahinyan, Yerevan, pp. 70–71, 31.05.16 – 02.06.16.
564:
Karapetyan G.A., Arakelyan M.Z., Theorems of Liouville and Phragmén–Lindelöf type for semi-elliptic equations with general initial conditions // Inter. Collection, ser. Math., No.4, 1986, pp. 81–93.
732:
Karapetyan G.A., Petrosyan H.A., Embedding theorems for multianisotropic spaces with two vertices of anisotropicity // Proceedings of the YSU, Physics & Mathematics, 2017, Volume 51, Issue 1, Pages
434:. In January, 2007 he defenced his PhD thesis at the Specialized Council in Mathematics, YSU, and further on, in 2008 he qualified Professor at the Department of Mathematics and Mathematical Modeling,
713:
Karapetyan G.A., Integral representation of functions and embedding theorems for multianisotropic spaces for the three-dimensional case // Eurasian Mathematical Journal, ISSN, v.7, n.4, (2016), 19–39.
747:
Karapetyan G.A., Petrosyan H.A. On Solvability of Regular Hypoelliptic Equations in R^n // Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018, Vol. 53, No. 4, 187-200.
636:
Karapetyan G.A., Darbinyan A.A., Noethericity of the regular operator with constant coefficients in a domain // Proceedings of A. Razmadze Mathematical Institute, Tbilisi, vol.146, 57 – 66, 2008.
718:
Karapetyan G.A., Arakelyan M.K., Estimation of multianisotropic kernels and their application to the embedding theorems // Transactions of A. Razmadze Mathematical Institute 171, (2017), 48–56.
558:
Ghazaryan. H.G., Karapetyan G.A., On the convergence of Galerkin approximations to the solution of the Dirichlet problem // Mathematical Collection, 124 (166), 1984, No.3 (7), pp. 291–306.
419:. In 1983 the pre-defense of PhD thesis took place. At that time he was working as an assistant at the Department of Numerical Analysis, Faculty of Applied Mathematics at the same university.
592:
Karapetyan G.A., Sardaryan V.T., Krmzyan A.P., Eigenvalue problem for self-adjointhypoelliptic operators // Proceedings of the NAS of Armenia, ser. Math., vol. 34, No.2, 1999, pp. 37–58.
382:(Armenian: Գառնիկ Ալբերտի Կարապետյան, 3 February 1958 – 29 November 2018, Armenia) was an Armenian scientist and mathematician. His main research was in the fields of mathematical analysis,
666:
Tananyan H.G., Karapetyan G.A., The Small Parameter Method for Linear Differential Regular Equations in Unbounded Domains // Proceeding of the ISAAC Conference. Moscow, August 22–27, 2011.
595:
Karapetyan G.A., Dallakyan G.V., Approximation of the solutions of semi-elliptic equations in R^n // Proceedings of the NAS of Armenia, ser. Math., vol. 34, No. 4, 1999, pp. 31–43.
549:
Karapetyan G.A., Existence and uniqueness of the solution of the Dirichlet problem for hypoelliptic equations in unbounded domains // Proceedings of YSU, 151, No.2, 1982, pp. 3–12.
756:
546:
Hakobyan G.O., Karapetyan G.A., Estimates of Schauder type for solving semi-elliptic equations with constant coefficients // Inter. Collection, ser. Math., No.2, 1984, pp. 5–13.
427:. Garnik A. Karapetyan often took part as a jury member at Mathematics Olympiads, and from 1997 to 1999 he was elected Chairman of the Mathematics Olympiad Committee of Armenia.
677:
Tananyan H.G., Karapetyan G.A., The small parameter method for regular linear differential equations on unbounded domains // Math. Journal, ISSN, 2077-9878, v. 4, No. 1, 2013.
489:
Karapetyan G.A., Aghekyan G.V., Harutyunyan K.V., Hayrapetyan S.R., Algebra (mathematics manual for university applicants). Yerevan։ RAU Publishing House, 2007. 388 pages.
737:
Karapetyan G.A., Petrosyan H.A., About the solvability of regular hypoelliptic equations in R^n // AMU, Annual Session 2017, Yerevan, pp. 40–42, 29.05.17 – 31.05.17.
610:
Karapetyan G.A., The smooth dependence on parameter of solutions of regular equations // Transactions of A. Razmadze Mathematical Institute, 2005, v.137, pp. 6–15.
691:
Karapetyan G.A., Saribekyan N.S., Spectral stability of higher order semi-elliptic operators // Proceedings of the NAS of Armenia, Math., vol. 51, №1, pp. 21–37, 2016.
613:
Karapetyan G.A., Galiardo — Nirenberg general inequalities for multianisotrop spaces // Transactions of A. Razmadze Mathematical Institute, 2006, v.142. pp. 8–18.
492:
Karapetyan G.A., Aghekyan G.V., Aramyan R.H, Dashtoyan L.L., Hayrapetyan S.R., RAU Entrance Exam Tests in Mathematics. Yerevan։ RAU Publishing House, 2008. 120 pages.
511:
Ghazaryan H.G., Karapetyan G.A., Convergence of Galerkin approximations to the solution of the Dirichlet problem // DAN SSSR, vol. 264, No.2, 1982, pp. 291–294.
535:
540:
Karapetyan G.A., Theorems of Liouville and Phragmén–Lindelöf type for general regular equations // Izv. AN. Arm. SSR, ser. Math. 17, No.6, 1982, pp. 473–496.
495:
Karapetyan G.A., Melkonyan A.A., Mikilyan M.A., Differential Equations with Examples and Problems (problem book). Yerevan։ RAU Publishing House, 2009. 235 pages.
576:
Karapetyan G.A., On the stabilization at infinity to a polynomial of solutions for one class of regular equations // Tr. MIAN SSSR, 187, 1989, pp. 116–129.
430:
Later he was invited to another university in Yerevan, Armenia. From 2002 to May, 2018 he was Head of the Department of Mathematics and Mathematical Modeling,
639:
Karapetyan G.A., Darbinyan A.A., Noethericity of the semi-elliptic operator with constant coefficients in a domain // Proceedings of YSU, No..3,16 – 24.2008.
570:
Karapetyan G.A., Quasilinear boundary value problems for regular equations in unbounded domains // Izv.AN. SSR, ser. Math., 23, 1988, No.1, pp. 22–38.
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Ghazaryan H.G, Hovhannisyan A.H, Mamikonyan F.H., Karapetyan G.A., Ordinary Differential Equations (problem book). Yerevan։ "Zangak-97", 1988. 184 pages.
543:
Hakobyan G.O., Karapetyan G.A., Estimates in Hölder spaces for solving quasi-elliptic equations // Mol. Nauch. Rab., YSU, 2 (38), 1982, pp. 47–59.
480:
Ghazaryan H.G, Hovhannisyan A.H, Harutyunyan T.N, Karapetyan G.A., Ordinary Differential Equations (textbook). Yerevan։ "Zangak-97", 2002. 320 pages.
589:
Karapetyan G.A., Petrosyan A.G., Solution of degenerate semi-elliptic equations in the half-space // Proceedings of YSU, No.1, 1998, pp. 13–22.
498:
Karapetyan G.A., Margaryan V.N., Hayrapetyan S.R., Practice in Mathematical Analysis (problem book). Yerevan։ RAU Publishing House, 2010. 310 pages.
586:
Karapetyan G.A., Inner estimates for semi-elliptic equations with small parameter // Dif. Eq. and Func. Analysis, 1993, Yerevan, pp. 100–105.
561:
Karapetyan G.A., The Galerkin method for one general class of hypoelliptic equations // Inter. Collection, ser. Math., No.4, 1986, pp. 93–107.
552:
Karapetyan G.A., On the behavior of one class of hypoelliptic equations in unbounded domains // Mol. Nauch. Rab., YSU, 2 (36), 1982, pp. 5–13.
501:
Karapetyan G.A., Hayrapetyan S.R., Mathematical Analysis with Examples and Problems (problem book). Yerevan։ RAU Publishing House, 2014. 417 pages.
567:
Karapetyan G.A., On one class of degenerate regular equations in the half-space // Izv. AN Аrm. SSR, ser. Math., 21, 1986, No.5, pp. 472–487.
752:
Karapetyan G.A., Arakelyan M. K. Embedding Theorems for General Multianisotropic Spaces // Mathematical Notes, 2018, Vol. 104, No. 3, 422-438.
514:
Karapetyan G.A., Existence and solution behavior of one class of hypoelliptic equations // DAN Аrm. SSR, vol. 74, No.5, 1982, pp. 202–07.
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Karapetyan G.A., Integral representation through the hypoelliptic operator // 9th Annual Conference, RAU, pp. 5–11, 2–6 December 2014.
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Karapetyan G.A., Smooth dependence on the parameter of the solution of regular equations // Proceedings of YSU, 8, 1988, pp. 21–29.
727:-dimensional multianisotropic spaces with one vertex of anisotropicity // Siberian Mathematical Journal, v.58, n.3, 445–460, 2017.
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Karapetyan G.A., Yeghiazaryan V.S., 300 RAU Entrance Exam Tests in Mathematics. Yerevan։ RAU Publishing House, 2006. 304 pages.
458:
Medal. From May, 2018 to November, 2018 when he died Garnik A.Karapetyan headed the Institute of Mathematics and Informatics at
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Karapetyan G.A., Solution of semi-elliptic equations in the half-space // Tr. MIAN SSSR, vol. 170, 1984, pp. 119–138.
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Karapetyan G.A., Regular equations depending on a parameter // Izv. AN. SSR, vol. 25, 1990, No.2, pp. 192–202.
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Department of Mathematics and Mathematical Modeling, Institute of Mathematics and Informatics,
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spaces // ”Issledovano v Rossii”. /zhurnal.ape.relarn.ru/articles/2004, pp. 634–644.
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It may require cleanup to comply with Knowledge's content policies, particularly
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438:. In 2008 Garnik A.Karapetyan received the title of Distinguished Professor at
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Scientific Secretary of the Faculty of Informatics and Applied Mathematics at
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Karapetyan G.A., Multiplicative inequalities of Gagliardo–Nirenberg type for
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and that of Dissertation Council in Mathematics of the Republic of Armenia.
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Mathematical analysis, Differential equations, Mathematical physics
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Mathematician, Doctor of Physico-mathematical sciences, Professor
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Karapetyan G.A., Petrosyan H.A., Embedding theorems for the
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G.A. Karapetyan awarded with the Medal of Anania Shirakatsi
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Garnik A. Karapetyan was born on February 3, 1958, in
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A major contributor to this article appears to have a
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797:Garnik A. Karapetyan, publications on Math-Net.Ru.
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16:Armenian scientist and mathematician (1958–2018)
454:. In 2017 Garnik A.Karapetyan was awarded an
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600:W
286:)
282:(
239:)
233:(
221:)
215:(
210:)
206:(
192:.
159:)
153:(
148:)
144:(
140:.
102:)
98:(
84:.
55:)
51:(
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