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  1. Main
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  3. Khachatur Aghavardovich Khachatryan
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khachatur.khachatryan@ysu.am
Khachatur
Aghavardovich
Khachatryan
Faculty of Mathematics and Mechanics
Chair of Theory of Functions and Differential Equations
Head of the chair, professor

Personal information

Date of birth
1982
Scientific interests
  • Differential Equations, Mathematical Physics,
  • Non-Linear Analysis,
  • Integral and Integro-Differential Equations with Hammerstein and Urysohn Type Operators,
  • Non-Linear Pseudo-Differential Equations,
  • Mathematical Modeling of the Geographical Spread of an Epidemic,
  • Parabolic Type Non-Linear Equations
Education
Institution
YSU
Faculty
Faculty of Mathematics
Date
1998 - 2004
Degree name
Masters
Scientific Rank/degree
Institution
Institute of Mathematics NAS Armenia
Date
2018
Degree name
Professor
Specialty
Physico-mathematical sciences
Institution
YSU
Date
2006
Degree name
Candidate
Specialty
Physico-mathematical sciences
Scientific Supervisor
N.B.Yengibaryan
Research Topic
Factorization methods for solving some class of integral and integrodifferential equations on the semiaxis
Institution
YSU
Date
2011
Degree name
Doctor
Specialty
Physico-mathematical sciences
Research Topic
Solvability issues of some nonlinear integral and integro-differential equations with non-compact operators in the critical case
Language skills
Հայերեն
Русский
English
Work experience
Institution
YSU
Period of time
2021 till now
Rank/degree
Head of Chair of Theory of Functions and Differential Equations
Institution
YSU
Period of time
2020 - 2021
Rank/degree
Head of Chair of Differential Equations
Institution
Russian-Armenian University
Period of time
2019 till now
Rank/degree
Professor
Institution
Institute of Mathematics of NAS RA
Period of time
2016 till now
Rank/degree
Leading Researcher
Institution
M. V. Lomonosov Moscow State University (Yerevan Branch)
Period of time
2015 - 2017
Rank/degree
Lecturer
Institution
Institute of Mathematics of NAS RA
Period of time
2011 - 2016
Rank/degree
Senior Researcher
Institution
Institute of Mathematics of NAS RA
Period of time
2006 - 2011
Rank/degree
Researcher
Institution
Institute of Mathematics of NAS RA
Period of time
2004 - 2006
Rank/degree
Junior Researcher
Participation in international conferences and seminars
25/08/2014 - 01/09/2014
Четвертая международная конференция “Математическая физика и ее приложения”
Samara State Technical University
Russian Federation (the)
28/09/2014 - 03/10/2014
Пятое Российско-Армянское Совещание по математической физике, комплексному анализу и смежным вопросам
Institute of Mathematics of NAS RA
Russian Federation (the)
11/09/2016 - 16/09/2016
VI Российско-Армянское совещание по математическому анализу, математической физике и аналитической механике
Don State Technical University
Russian Federation (the)
12/11/2018 - 16/11/2018
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
Steklov Mathematical Institute
Russian Federation (the)
09/09/2018 - 15/09/2018
Международная конференция “VII Российско-Армянское Совещание по математической физике, комплексному анализу и смежным вопросам”
Institute of Mathematics of NAS RA
Armenia
26/11/2019 - 30/11/2019
Международная школа-семинар молодых ученых Моделирование и оптимизация сложных систем MOCS-2019
Lomonosov Moscow State University
Russian Federation (the)
25/09/2019 - 28/09/2019
All-Russian scientific and practical conference with international participation "Equation of Convolution Type in Science and Technology" ECTST-2019 dedicated to the 90th Anniversary of the birth of Yuri Iosifovich Chersky
V.I. Vernadsky Crimean Federal University
Russian Federation (the)
16/09/2019 - 21/09/2019
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
Steklov Mathematical Institute
Russian Federation (the)
23/11/2020 - 27/11/2020
Международная конференция по математической физике памяти академика В. С. Владимирова
Steklov Mathematical Institute
Russian Federation (the)
03/07/2020 - 08/07/2020
The International Conference on Differential Equations and Dynamical Systems
Lomonosov Moscow State University
Russian Federation (the)
27/09/2021 - 30/09/2021
International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich
Steklov Mathematical Institute
Russian Federation (the)
19/09/2022 - 23/09/2022
International conference on mathematical analysis and differencial equations
Yerevan State University
Armenia
30/06/2022 - 05/07/2022
The International Conference on Differential Equations and Dynamical Systems 2022
Lomonosov Moscow State University
Russian Federation (the)
09/01/2023 - 14/01/2023
International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100)
Steklov Mathematical Institute
Russian Federation (the)
Membership
Institution
Member of the Scientific Council of the Faculty of Mathematics and Mechanics of Yerevan State University
Period of time
2020 till now
Institution
Member of the editorial board of the Journal of Contemporary Mathematical Analysis
Period of time
2016 till now
Institution
Deputy Chairman of Yerevan State University 050 Professional Council
Period of time
2016 till now
Institution
Member of the Union of Mathematicians of Armenia
Period of time
2006 till now
Institution
Member of the Scientific Council of the Institute of Mathematics of the National Academy of Sciences of the Republic of Armenia
Period of time
2016 till now
State awards and honorary titles
2014
Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
2013
1st-class prize of the RA NAS "Best scientific work of 2013" competition,
2013
Winner of the first prize after Sergey Mergelyan for young scientists (Mathematics and Informatics)
2021
Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
2020
Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
2018
Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
2016
Winner of the "Efficient Researcher" competition (Natural Sciences) (Top 100)
2019
Prize of the President of the Republic of Armenia

Publications

- Կատեգորիա -
Article
On Solutions of a System of Nonlinear Integral Equations of Convolution Type on the Entire Real Line
Kh.A. Khachatryan
H.S. Petrosyan
A.A. Davydov
Дифференциальные уравнения (Differential Equations)
2023
1504–1519
Article
СТАЦИОНАРНЫЕ СОСТОЯНИЯ В ДИНАМИКЕ ПОПУЛЯЦИЙ С МИГРАЦИЕЙ И РАСПРЕДЕЛЕННЫМ ПОТОМСТВОМ
Х.А. Хачатрян
А.А. Давыдов
Современная математика. Фундаментальные направления
2023
578–587
Article
On non-trivial solvability of one system of non-linear integral equations on the real axis
Kh.A. Khachatryan
H.S. Petrosyan
Известия РАН. Серия математическая (IZVESTIYA MATHEMATICS)
2023
1062-1077
Article
ON NONTRIVIAL SOLVABILITY OF ONE CLASS OF NONLINEAR INTEGRAL EQUATIONS WITH CONSERVATIVE KERNEL ON THE POSITIVE SEMI-AXIS
Kh.A.Khachatryan
A.R.Hakobyan
Proceedings of the YSU A. Physical and Mathematical Sciences
2022
7-18
Article
О разрешимости одного класса нелинейных интегральных уравнений Гаммерштейна на полуоси
Х. А. Хачатрян
А. С. Петросян
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
2022
169-179
Article
On One Class of Multidimensional Integral Equations of Convolution Type with Convex Nonlinearity
Kh.A.Khachatryan
H.S.Petrosyan
Дифференциальные уравнения (Differential Equations)
2022
680-690
Article
О разрешимости одной системы нелинейных интегральных уравнений с монотонным оператором типа Гаммерштейна
Х.А. Хачатрян
А.С. Петросян
Труды института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN)
2022
201-214
Article
Асимптотическое поведение решения для одного класса нелинейных интегральных уравнений типа Гаммерштейна на всей прямой
Х. А. Хачатрян
А. С. Петросян
Современная математика. Фундаментальные направления
2022
376–391
Article
On a class of convolution type nonlinear integral equations with an even kernel
Kh. A. Khachatryan
H. S. Petrosyan
International Journal of Modern Physics A
2022
1-19
Article
On Summable Solutions to Two-Dimensional Volterra Integral Equations with Monotone Nonlinearity on a Quarter of the Plane
Kh.A.Khachatryan
H.S.Petrosyan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
2022
303-310
Article
A System of Integral Equations on the Entire Axis with Convex and Monotone Nonlinearity
Kh.A.Khachatryan
A.Kh.Khachatryan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
2022
311-322
Article
Вопросы существования и единственности решения одного класса нелинейных интегральных уравнений на всей прямой
Х. А. Хачатрян
А. С. Петросян
Вестник Самарского государственного технического университета. Серия: Физико-математические науки
2022
446–479
Article
О КАЧЕСТВЕННЫХ СВОЙСТВАХ РЕШЕНИЯ ДЛЯ ОДНОЙ СИСТЕМЫ НЕЛИНЕЙНЫХ БЕСКОНЕЧНЫХ АЛГЕБРАИЧЕСКИХ УРАВНЕНИЙ
Х. А. Хачатрян
М. О. Аветисян
Владикавказский Математический журнал (Vladikavkaz Mathematical Journal)
2022
5-18
Article
On a Class of Nonlinear Integro-Differential Equations
Kh.A. Khachatryan
H.S. Petrosyan
Siberian Advances in Mathematics
2022
250-268
Article
О суммируемых решениях одного класса нелинейных интегральных уравнений на всей прямой
Х. А. Хачатрян
А. С. Петросян
Известия Российской академии наук. Серия математическая
2022
157–168
Article
On the solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity
Kh.A.Khachatryan
H.S.Petrosyan
S.M.Andriyan
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica
2022
19-38
Article
On the Constructive Solvability of a Two-Dimensional Nonlinear Integral Equation Arising in the Theory of p -Adic Strings
Kh. A. Khachatryan
H. S. Petrosyan
p-Adic Numbers, Ultrametric Analysis and Applications
2022
S74–S82
Article
Existence and uniqueness result for reaction-diffusion model of diffusive population dynamics
A. Kh. Khachatryan
Kh. A. Khachatryan
A. Zh. Narimanyan
Труды Московского математического общества (Transactions of the Moscow Mathematical Society)
2022
219-239
Article
Математическая модель распространения пандемии типа COVID-19
А. Г. Сергеев
А. Х. Хачатрян
Х. А. Хачатрян
Труды Московского математического общества (Transactions of the Moscow Mathematical Society)
2022
63-75
Article
Solvability of a Certain System of Singular Integral Equations with Convex Nonlinearity on the Positive Half-Line
Kh.A.Khachatryan
H.S.Petrosyan
Известия высших учебных заведений. Математика (Russian Mathematics)
2021
27–46

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