Khachatur A. Khachatryan
Biography
Education and scientific degree
1998 № 1, Phys-Math. school at Yerevan State University (certificate with honours)
2004 Yerevan State University, Mathematical department (diploma with honours)
2004- 2006 Aspirantura, the Yerevan State University (Scientific adviser – Prof. N.B. Yengibaryan)
2006 Candidate of Sciences (=PhD) in Physics and Mathematics
Dissertation: “On factorization methods for solution of some classes of integral and integro-differential equations on half line”, (A.01.02, Differential Equations), Yerevan State University.
2011 Doctor of Science in Physics and Mathematics ( =Habilitation)
Dissertation: “Questions of solvability of some nonlinear integral and integro-differential equations with noncompact operators in critical case”, (A.01.02, Differential Equations), Yerevan State University.

Academic appointments
2005-present Department of Methods of Mathematical Physics, Institute of Mathematics NAS, Armenia
2016-present Head Scientist researcher in Department of Methods of Mathematical Physics, Institute of Mathematics NAS, Armenia,
2018-- professor,
2020-- Head of the Department of Differential Equations of Yerevan State University
Teaching: 2004--2006, 2012-present

General courses
Mathematical Analysis,
Differential Equations,
Mathematical Physics,
Functional Analysis
Optimal Control,

Special courses
Positive Solutions of Operator Equations,
Convolution type Integral Equations,
Nonlinear Analysis (at the Departments of Mathematics and Mechanics, Computational Mathematics and Informatics of Yerevan State University).

PhD Students
1. Marine Broyan
(2008-2013),
Dissertation: “Questions of solvability of nonlinear integral and Integro-Differential Equations with noncompact operators and their discrete analogy” (A.01.02, Differential Equations), Yerevan, SEUA, 2013, PhD,
2. Haykanush Petrosyan
(2012-2015)
Dissertation: “Some integral and integro-Differential Equations with Hammerstein Type noncompact operators on semi-axis” (A.01.02, Differential Equations and Mathematical Physics), Yerevan State University, 2015, PhD,
3. Tigran Sardaryan
(2013-2016)
Dissertation: "The issues of global solvability for some nonlinear problems of physical kinetics" A.01.02, Differential Equations and Mathematical Physics), Yerevan State University, 2016, PhD,
4. Hermine Azizyan
(2013-2016)
Dissertation:
"The Issues of Solvability for some convolution type integral and integro-differential equations", (A.01.02, Differential Equations and Mathematical Physics), Yerevan State University, 2016, PhD.
5. Metaksya Avetisyan
(2017-2020)
"Some nonlinear integral equations in the theory of p-adic strings".

Awards and prizes
1997 First prize in Republic mathematical olympiad between lyceums,
2003, 2004 Scholarship of Research Mathematics foundation,
2003 First prize of competition the best student of YSU,
2013 Laureate of the first prize after Sergey Mergelyan for young scientist (Mathematics and Informatics),
2013 Laureate of the first prize “Best scientific work for young scientist”, (Mathematics and Mechanics), National Academy of Sciences of Armenia,
2013 Winner of “Research Support Program of young Scientist-2013”, (Mathematics ), State Committee of Sciences of Armenia, Ministry of Education and Science,
2014 Winner of “Productive Scientist-2014”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.
2016 Winner of “Productive Scientist-2016”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.
2016 Winner of “Research Support Program of young Scientist-2016”, (Mathematics ), State Committee of Sciences of Armenia, Ministry of Education and Science
2018 Winner of “Productive Scientist-2018”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.
2019 The President Prize of the Republic of Armenia (Development of Natural Sciences) https://www.presidentprize.am/en/313_0
2019 - 2021 The main performer of the grant of the Russian Science Foundation (project No. 19-11-00223)
2020 Winner of “Productive Scientist-2020”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.
2021 Winner of “Productive Scientist-2021”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.

Scientific-organizational responsibilities
Member of the Academic Council of Institute of Mathematics of National Academy Sciences Armenia
Member of Armenian Mathematical Union
Member of specialized Committee on Mathematics №050 at Yerevan State University.
Member of the Editorial Board of the Journal of Contemporary Mathematical Analysis

Conferences, International collaboration
2002 ISAAC conference on Complex analysis Differential equations and Related topics. Yerevan, Armenia
2004 International Workshop Global and Geometric aspects of nonlinear PDF. Yerevan, Armenia
2005 International Conference Harmonic Analysis and Approximations. Tsaghkadzor, Armenia
2006 Russian-Armenia Workshop Mathematical physics and Related topics. Yerevan, Armenia
2008 Second Russian-Armenian Workshop Mathematical physics, complex analysis and Related topics, Moscow, Russia
2008 International conference Multivariate statistical analysis and Econometrics. Moscow, Russia
2009 International conference p-adic mathematical physics Hrodno (Belarus)
2010 Third Russian-Armenian Workshop on Mathematical physics, complex analysis, and related topics. Tsaghkadzor, Armenia
2012 Third International Conference on Mathematical Physics and Its Applications (Russia, Samara), Steklov Mathematical Institute of the Russian Academy of Sciences, Samara State Technical University, Samara State University.
2012 4th Russian-Armenian workshop on mathematical physics, complex analysis and related topics, Krasnoyarsk, Russia, Siberian Federal University, Steklov Mathematical Institute of Russian Academy of Sciences, Institute of Mathematics of National Academy of Sciences of Republic of Armenia.
2013 International Conference "Mathematical Physics. "Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov, November 13, Moscow, Steklov Mathematical Institute of RAS.
2014 4th International Conference on Mathematical Physics and Its Applications (Russia, Samara), Steklov Mathematical Institute of the Russian Academy of Sciences, Samara State Technical University, Samara State University.
2014 5th Russian-Armenian workshop on mathematical physics, complex analysis and related topics, Yerevan, Republic of Armenia, Institute of Mathematics of National Academy of Sciences of , Steklov Mathematical Institute of Russian Academy of Sciences.
2016 6th Russian-Armenian Workshop on Mathematical Analysis, Mathematical Physics and Analytical Mechanics" September 11–16, 2016, Rostov-na-Donu. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Southern Federal University, Rostov-on-Don. Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
Don State Technical University, Rostov-on-Don.

Scope of scientific interests
Nonlinear Analysis, integral and integro-differential equations with Hammerstein and Urysohn type operators. Convolution type integral equations, the theory of factorization of integral and integro-differential operators. Boltzmann equation.

Languages
Armenian, Russian, English

E-mail
khachatur.khachatryan@ysu.am

Khachatur A. Khachatryan

Head of Chair | Faculty of Mathematics and Mechanics - Chair of Differential Equations
 
 

Book

Хачатур Хачатрян

“О некоторых нелинейных интегральных уравнениях на всей пря-мой с выпуклой нели- нейностью” | VIII Российско-Армянское Совещаниепо математической физике,комплексному анали- зу и смежным вопросам. Сборник тезисов (Математический институт им. В.А. Стеклова РАН, г. Москва, 16–20 сентября), Математический институт им. В.А. Стеклова РАН, 2019, 21-21.
 

Article

Хачатур Хачатрян, Ц. Э. Терджян, М.Ф. Броян

“О построении однопараметрических семейств положительных решений для некоторых систем нелинейных интегральных уравнений типа Гаммерштейна-Вольтерра” | Armenian Mathematical Union. Annual Session . Dedicated to the 110th Anniversary of Artashes Shahinyan (Yerevan, May 30- June1), Yerevan State University, 2016, 78-78, http://amu.sci.am/archives/2025.

Хачатур Хачатрян, Ц. Э. Терджян, М. Ф. Броян

“О разрешимости одной системы нелинейных интеграль- ных уравнений типа Гаммерштейна–Вольтерра в критическом случае” | Владикавк. матем. журн., 18:4 (2016), 71–79.

Хачатур Хачатрян, Ц.Э.Терджян, М.Ф.Броян

“Однопараметрическое семейство суммируемых решений одной системы нелинейных интегральных уравнений типа Гаммерштейна-Вольтерры в закритическом случае” | Дифференциальные уравнения, 52:8 (2016), 1075-1081.

Хачатур Хачатрян, Э. О. Азизян

“Однопараметрическое семейство положительных решений для одного класса дискретных нелинейных уравнений Гаммерштейна–Вольтерра” | Уфимск. матем. журн., 8:1 (2016), 15–21; E. O. Azizian, Kh. A. Khachatryan, “One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein-Volterra equations”, Ufa Math. Journal, 8:1 (2016), 13–19.

Хачатур Хачатрян, А. Х. Хачатрян

“О некоторых вопросах разрешимости нелинейного стационарного уравнения Больцмана в рамках БГК-модели” | Тр. ММО, 77, МЦНМО, М., 2016, 103–130. 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., 77:1 (2016), 87–106.
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