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554:“Differential equations”), official opponents: Doctor of Phys-Math. sciences, prof. Zabreiko, Pyotr Petrovich, Doctor of Phys-Math. sciences, prof. A. S. Krivosheev, Academician of the National Academy of Sciences of Armenia, Doctor of Phys-Math. sciences, prof. A. B. Nersesyan, Leading organization: Steklov Mathematical Institute of the Russian Academy of Sciences.
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semi-axis.” (specialty 01.01.02 - “Differential equations”), scientific supervisor, Doctor of Phys-Math. sciences, prof. N. B. Yengibaryan, official opponents: Doctor of Phys-Math. sciences, prof. Sergeev, Armen
Glebovich, candidate of Phys-Math. sciences, Associate Professor A. G. Kamalyan, Leading organization: Armenian State Pedagogical University.
66:
815:
A.Kh.Khachatryan, Kh.A.Khachatryan, “Qualitative difference between solutions for a model
Boltzmann equation in the linear and nonlinear cases”, Theoretical and Mathematical Physics, 172:3 (2012), 1315-1320; A. Kh. Khachatryan, Kh. A. Khachatryan, “Qualitative difference between solutions for a model
553:
In 2011, in the specialized council 050 of
Yerevan State University, he defended his doctoral dissertation (= habilitation) on the topic “Questions of the solvability of some nonlinear integral and integro-differential equations with non-compact operators in the critical case” (specialty 01.01.02 -
549:
In 2004, he entered graduate school (aspirant) at
Yerevan State University. In 2006, in the specialized council 050 of Yerevan State University, he defended his PhD thesis on the topic “On factorization methods for solving a certain class of integral and integro-differential equations on the
545:
In 1998 graduated from Phys. math. school No. 1 named after A. Shahinyan with honors. He graduated from the
Faculty of Mathematics of Yerevan State University in 2004 with honors (Department of Differential Equations and Functional Analysis).
805:
Aghavard Kh.Khachatryan, Khachatur A.Khachatryan, “Hammerstein -Nemitski type
Nonlinear integral equations on half-line in space L1(R+) and Linfinity(R+)”, Acta Univ. Palacki. Olomuc., Fac.rer. nat., Mathematica, 52:1 (2013),
740:
A.Kh. Khachatryan, Kh.A. Khachatryan, H.S. Petrosyan, “On
Positive Bounded Solutions of One Class of Nonlinear Integral Equations with the Hammerstein–Nemytskii Operator”, Differential Equations, vol. 57, iss. 6, (2021)
801:
Khachatur A. Khachatryan and Mikael G. Kostanyan, “On the solvability of a nonlinear second-order integro-differential equation with sum-difference kernel on a semiaxis”, Journal of
Mathematical Sciences, 181:1 (2012),
791:
A.Kh.Khachatryan, Kh.A.Khachatryan, Ts. E. Terdjyan, “On solvability of one integral equation on half line with
Chebyshev polynomial nonlinearity”, P-Adic Numbers, Ultrametric Analysis, and Applications, 7:3 (2015),
721:
Kh.A. Khachatryan, H.S. Petrosyan, S.M. Andriyan, “On the solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, 2,
584:
Since 2005, he has been working in the
Department of Methods of Mathematical Physics of the Institute of Mathematics of the National Academy of Sciences of Armenia. From 2004 to 2006 and since 2012 he teaches at
771:
A. Kh. Khachatryan, Kh. A. Khachatryan, “A one-parameter family of positive solutions of the non-linear stationary Boltzmann equation (in the framework of a modified model)”, Russian Math. Surveys, 72:3 (2017),
499:
711:
H.S. Petrosyan, Kh.A. Khachatryan, “Uniqueness of the Solution of a Class of Integral Equations with Sum-Difference. Kernel and with Convex Nonlinearity on the Positive Half-Line”, Math. Notes, 113:4 (2023),
798:
A.Kh. Khachatryan, Kh. A. Khachatryan, “Qualitative difference between solutions of stationary model Boltzmann equations in the linear and nonlinear cases”, Theoret. and Math. Phys., 180:2 (2014), 990–1004
778:
A. Kh. Khachatryan, Kh. A. Khachatryan, “Some problems concerning the solvability of the nonlinear stationary Boltzmann equation in the framework of the BGK model”, Trans. Moscow Math. Soc., 77 (2016),
737:
A.Kh. Khachatryan, Kh.A. Khachatryan, H.S. Petrosyan, “Solvability of Two-Dimensional Integral Equations with Monotone Nonlinearity”, Journal of Mathematical Sciences, New York, 257:3, (2021), 720-731
775:
Kh.A.Khachatryan, “On solvability of one class nonlinear integral equations on whole line with a weak singularity at zero”, p-Adic Numbers, Ultrametric Analysis and Applications, 9:4 (2017), 292-305
812:
Kh. A. Khachatryan, “On solvability one Hammerstein–Nemitski type nonlinear integral differential equation with noncompact operator in W11(R+)W11(R+)”, St. Petersburg Math. J., 24:1 (2013), 167–183
762:
Kh. A. Khachatryan, H. S. Petrosyan, “One initial boundary-value problem for integro-differential equation of the second order with power nonlinearity”, Russian Math. (Iz. VUZ), 62:6 (2018), 43–55
795:
A.Kh.Khachatryan, Kh.A.Khachatryan, T.H. Sardaryan, “On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases”, Journal of Mathematical Physics, Analysis, Geometry, 10:3 (2014), 320-327
747:
Kh.A.Khachatryan, A.Zh.Narimanyan, A.Kh.Khachatryan, “On Mathematical Modelling of Temporial Spatial Spread of Epidemics” (France), Mathematical Modelling of Natural Phenomena, 15:6 (2020), 1-14
768:
A.Kh.Khachatryan, Kh. A. Khachatryan, “Solvability of a class of nonlinear pseudo-differential equations in R n”, p-adic Numbers, Ultrametric Analysis and Applications, 10:2 (2018), 90-99
718:
A.Kh. Khachatryan, Kh.A. Khachatryan, H.S. Petrosyan, “On nonlinear convolution-type integral equations in the theory of p-adic strings”, Theoret. and Math. Phys., 216:1 (2023), 1068–1081
785:
Kh. A. Khachatryan, “Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line”, Izv, Math., 79:2 (2015), 411-430.
756:
A. G. Sergeev, Kh. A. Khachatryan, “On the solvability of a class of nonlinear integral equations in the problem of a spread of an epidemic”, Trans. Moscow Math. Soc., 80 (2019), 95–11
728:
A.Kh. Khachatryan, Kh.A. Khachatryan, A.Zh. Narimanyan, “Existence and uniqueness result for reaction-diffusion model of diffusive population dynamics”, Тр. ММО, 83:2 (2022), 219–239
782:
A. Kh. Khachatryan, Kh. A. Khachatryan, “Solvability of a nonlinear model Boltzmann equation in the problem of a plane shock wave”, Theoret. and Math. Phys., 189:2 (2016), 1609–1623
744:
A. Kh. Khachatryan, Kh. A. Khachatryan, “On solvability of one infinite system of nonlinear functional equations in the theory of epidemics”, Eurasian Math. J., 11:2 (2020), 52–64
597:. From 2020 Head of the Department of Differential Equations, and from 2021, Head of the Department of Theory of Functions and Differential Equations, Yerevan State University.
834:
A. Kh. Khachatryan and Kh. A. Khachatryan, “On an Integral Equation With Monotonic Nonlinearity”, Memoirs on Differential Equations and Mathematical Physics, 51:3 (2010), 59–72
937:
819:
A. Kh. Khachatryan, Kh. A. Khachatryan, “Existence and Uniqueness Theorem For a Hammerstein Nonlinear Integral Equation”, Opuscula Mathematica (POLAND), 31:3 (2011), 393–398
753:
Kh. A. Khachatryan, “Solvability of some nonlinear boundary value problems for singular integral equations of convolution type”, Trans. Moscow Math. Soc., 81:1 (2020), 1–31
708:
Kh.A. Khachatryan, H.S. Petrosyan, “On a class of nonlinear integral equations of the Hammerstein–Volterra type on a semiaxis”, Russian Math. (Iz. VUZ), 67:1 (2023), 64–73
734:
A.G. Sergeev, A.Kh. Khachatryan, Kh.A. Khachatryan, “Математическая модель распространения пандемии типа COVID-19”, Tr. Mosk. Mat. Obs., 83, no. 1, MCCME, M., 2022, 63–75
831:
Kh. A. Khachatryan, “Solubility of a class of second-order integro-differential equations with monotone non-linearity on a semi-axis”, Izv. Math., 74:5 (2010), 1069–1082
715:
Kh.A. Khachatryan, H.S. Petrosyan, “On the nontrivial solvability of a system nonlinear integral equations on the whole line”, Izv. RAN. Ser. Mat., 87:5 (2023), 215–231
788:
K. A. Khachatryan, Ts. E. Terdzhyan, “On the solvability of one class of nonlinear integral equations in L1(0,+∞)L1(0,+∞)”, Siberian Adv. Math., 25:4 (2015), 268–275
765:
A. Kh. Khachatryan, Kh. A. Khachatryan, “Solvability of a nonlinear integral equation in dynamical string theory”, Theoret. and Math. Phys., 195:1 (2018), 529–537
957:
822:
Kh. A. Khachatryan, “On a Class of Nonlinear Integral Equations With a Noncompact Operator”, Journal of Contemporary Mathematical Analysis, 46:2 (2011), 89–100
725:
Kh.A. Khachatryan, H.S. Petrosyan, “On summable solutions of a class of nonlinear integral equations on the whole line”, Izv. Math., 86:5 (2022), 980–991
828:
A. Kh. Khachatryan, Kh. A. Khachatryan, “A nonlinear integral equation of Hammerstein type with a noncompact operator”, Sb. Math., 201:4 (2010), 595–606
750:
Kh.A. Khachatryan, H.S. Petrosyan. Solvability of a Nonlinear Problem in Open-Closed p-Adic String Theory. Differential Equations 56, 1371–1378 (2020)
759:
Kh. A. Khachatryan, “On the solubility of certain classes of non-linear integral equations in p-adic string theory”, Izv. Math., 82:2 (2018), 407–427
145:
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589:(YSU). In 2015-2017 taught at the Yerevan branch of Moscow State University. M. V. Lomonosov (part-time). Since 2019 he has been teaching at the
825:
A. Khachatryan, Kh. Khachatryan, “On solvability of a nonlinear problem in theory of income distribution”, Eurasian Math. J., 2:2 (2011), 75–88
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of the topic and provide significant coverage of it beyond a mere trivial mention. If notability cannot be shown, the article is likely to be
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Since 2018 Khachatryan is a full professor of Mathematics, and the scientific supervisor of seven candidate dissertations (PhD theses).
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Kh. A. Khachatryan, “On a class of integral equations of Urysohn type with strong non-linearity”, Izv. Math., 76:1 (2012), 163–189
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Member of the Scientific Council of the Institute of Mathematics of the National Academy of Sciences of the Republic of Armenia
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Kh.A. Khachatryan, H.S. Petrosyan, “On a class of nonlinear integro-differential equations”, Mat. Tr., 25:1 (2022), 192–220
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Member of the Scientific Council of the Institute of Mathematics and Informatics of the Armenian-Russian University
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2014թ., 2016թ., 2018թ., 2020թ., 2021թ. Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
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of the Boltzmann equation in the linear and nonlinear cases”, Theoret. and Math. Phys., 172:3 (2012), 1315–1320
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Member of the Scientific Council of the Faculty of Mathematics and Mechanics of Yerevan State University
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2013 Winner of the first prize after Sergey Mergelyan for young scientists (Mathematics and Informatics)
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Winner of the first prize after Sergey Mergelyan for young scientists (Mathematics and Informatics),
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He has more than 150 scientific articles in various scientific international journals.
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Integral and integro-differential equations with Hammerstein and Urysohn type operators
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Member of the editorial board of the Journal of Contemporary Mathematical Analysis
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2016 Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
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2018 Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
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2020 Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
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2021 Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
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2014 Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
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2013 1st-class prize of the RA NAS "Best scientific work of 2013" competition,
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Khachatur Khachatryan: Mathematics is the queen of science and its servant
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1st-class prize of the RA NAS "Best scientific work of 2013" competition,
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Deputy Chairman of Yerevan State University 050 Professional Council
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Differential equations, Mathematical analysis, Mathematical physics
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Institute of Mathematics of National Academy of Sciences of Armenia
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Please help to demonstrate the notability of the topic by citing
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Member of Professional Council 058 of Yerevan State University
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Mathematical modeling of the geographic spread of the epidemic
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from the article and its talk page, especially if potentially
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Factorization of integral and integro-differential operators
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2019 Prize of the President of the Republic of Armenia
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Khachatur Khachatryan was born on July 1, 1982, in
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469:Prize of the President of the Republic of Armenia
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573:, equations of mathematical physics,
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958:21st-century Armenian mathematicians
913:Khachatryan, Khachatur A. Mathscinet
16:Armenian scientist and mathematician
591:Russian-Armenian Slavic University
302:notability guideline for academics
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898:Khachatryan Khachatur. MathNet.ru
609:Equations of mathematical physics
34:This article has multiple issues.
641:State awards and honorary titles
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51:(
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