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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 qualitative properties of the solution of a boundary value problem for a system of nonlinear integral equations
Kh. A. Khachatryan
H. S. Petrosyan
Theoretical and Mathematical Physics
2024
145-162
Article
An iterative method for solving one class of non-linear integral equations with Nemytskii operator on the positive semi-axis
Kh. A. Khachatryan
H.S. Petrosyan
Известия РАН. Серия математическая (IZVESTIYA MATHEMATICS)
2024
760-793
Article
Questions of existence, absence, and uniqueness of a solution to one class of nonlinear integral equations on the whole line with an operator of Hammerstein–Stieltjes type (Вопросы существования, отсутствия и единственности решения одного класса нелинейны
Х. А. Хачатрян
А. Х. Хачатрян
А. С. Петросян
Труды института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN)
2024
249-269
Article
On the Solvability of One Infinite System of Integral Equations with Power Nonlinearity on the Semi-Axis
Kh. A. Khachatryan
H. S. Petrosyan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
2024
305–316
Article
On the Solvability of an Infinite System of Algebraic Equations with Monotone and Concave Nonlinearity
Kh. A. Khachatryan
H. S. Petrosyan
Siberian Mathematical Journal
2024
1450–1460
Article
On the Constructive Solvability of one Class of the Hammerstein–Volterra type Nonlinear Multidimensional Integral Equations
Kh. A. Khachatryan
A. Kh. Khachatryan
H. S. Petrosyan
Lobachevskii Journal of Mathematics
2024
3598–3612
Article
Numerical Solutions of some Nonlinear Integral Equations Arising in the Theory of -Adic Strings and Physical Kinetics
Kh. A. Khachatryan
A. Kh. Khachatryan
A. Zh. Narimanyan
p-Adic Numbers, Ultrametric Analysis and Applications
2024
43–59
Article
Existence and Uniqueness Theorems for One Class of Hammerstein-type Nonlinear Integral Equations
Khachatur A. Khachatryan
Zahra Keyshams
Monire Mikaeili Nia
Lobachevskii Journal of Mathematics
2024
3580–3597
Article
Solvability of Two-Dimensional Integral Equations with Concave Nonlinearity in the Plane
Kh. A. Khachatryan
H. S. Petrosyan
Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры (Journal of Mathematical Sciences)
2023
239-255
Article
Uniqueness of the Solution of a Class of Integral Equations with Sum-Difference Kernel and with Convex Nonlinearity on the Positive Half-Line
H. S. Petrosyan
Kh. A. Khachatryan
MATHEMATICAL NOTES
2023
512–524
Article
Теоремы существования и единственности для одной системы интегральных уравнений с двумя нелинейностями
Х.А. Хачатрян
А.С. Петросян
М.О. Аветисян
Труды института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN)
2023
202-218
Article
On a Class of Nonlinear Integral Equations of the Hammerstein–Volterra Type on a Semiaxis
Kh. A. Khachatryan
H. S. Petrosyan
Известия высших учебных заведений. Математика (Russian Mathematics)
2023
64-73
Article
On the Solvability of a System of Nonlinear Integral Equations with the Hammerstein–Stieltjes Operator on the Half-Line
Kh. A. Khachatryan
H. S. Petrosyan
Дифференциальные уравнения (Differential Equations)
2023
383–391
Article
Existence and Uniqueness Theorems for One Infinite System of Nonlinear Algebraic Equations
Х. А. Хачатрян
А. С. Петросян
ИЗВЕСТИЯ ИРКУТСКОГО ГОСУДАРСТВЕННОГО УНИВЕРСИТЕТА. Серия Математика (BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS)
2023
44-54
Article
ON QUALITATIVE PROPERTIES OF A SOLUTION OF ONE CLASS SINGULAR INTEGRAL EQUATIONS ON THE WHOLE LINE WITH ODD NONLINEARITY
Kh.A. Khachatryan
A.Kh. Khachatryan
Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры (Journal of Mathematical Sciences)
2023
597-609
Article
On solvability of one class of integral equations on whole line with monotonic and convex nonlinearity
Kh.A. Khachatryan
H.S. Petrosyan
A.R. Hakobyan
Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры (Journal of Mathematical Sciences)
2023
610-624
Article
On nonlinear convolution-type integral equations in the theory of p -adic strings
Kh.A. Khachatryan
A.Kh. Khachatryan
H.S. Petrosyan
Теоретическая и математическая физика (Theoretical and Mathematical Physics)
2023
1068–1081
Article
ON SOME SYSTEMS OF NONLINEAR INTEGRAL EQUATIONS ON THE WHOLE AXIS WITH MONOTONOUS HAMMERSTEIN-VOLTERRA TYPE OPERATORS
Kh.A. Khachatryan
H.S. Petrosyan
A.R. Hakobyan
Eurasian Mathematical Journal
2023
35-53
Article
On the solvability of a class of nonlinear two-dimensional integral equations Hammerstein–Nemytskii type on the plane
Kh. A. Khachatryan
H. S. Petrosyan
Вестник Самарского государственного технического университета. Серия: Физико-математические науки
2023
446-461
Article
THE SOLVABILITY OF AN INFINITE SYSTEM OF NONLINEAR ALGEBRAIC EQUATIONS WITH TOEPLITZ MATRIX
Kh.A. Khachatryan
V.G. Dilanyan
Proceedings of the YSU A. Physical and Mathematical Sciences
2023
69-78

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