The Department of “Mathematical analysis and differential equations”

Nodirov Shohruh Dilmurodovich Head of the department of The Department of “Mathematical analysis and differential equations” , Doctor of Philosophy in Physical and Mathematical Sciences associate professor Phone: +998 90 167-92-34 Email: nodirov.sd@qarshidu.uz   Reception days: Monday to Friday of the week from 15:00 to 18:00

Labor activity

2010-2014 - student of the National University of Uzbekistan named after Mirzo Ulugbek (bachelor)
2014-2016 - student of Kazan Federal University (Privolzhsky) (master's degree)
2017-2018 - Lecturer at the Department of Mathematics, Karshi State University
2018-2020. - Basic doctoral student of the Faculty of Physics and Mathematics of Karshi State University
2021-2022 - Lecturer at the Department of Mathematical Analysis and Differential Equations, Karshi State University
2022 - present – Head of the Department of Mathematical Analysis and Differential Equations, Karshi State University

History of the department

The Department of "Mathematical analysis" was founded in 1982, and associate professor E.Eshdavlatov headed it. From 1988 to 1992 the department was headed by associate professor N.Dilmurodov. In 1992, associate professor J.Toshev worked as the head of this department. That year the chair was divided into three departments: "Mathematical analysis", "Algebra and geometry" and "Differential equations". The department of "Mathematical analysis" was headed by associate professor J.Toshev, the department of "Algebra and geometry" was headed by associate professor S.Uzokov and associate professor J.Oromov became the head of the department of "Differential equations". In 1995, the departments of "Mathematical analysis" and "Differential equations" were merged and renamed as the department of "Mathematical analysis". Associate professor J.Toshev managed this department until 1998. From 1998 to 2001, the department of "Mathematical analysis" was headed by associate professor J.Oromov. In 2001 associate professor E.Eshdavlatov was appointed as the head of the department. In 2005, the departments "Mathematical analysis" and "Algebra and geometry" were merged and the department  “Mathematical analysis and algebra " was established. Associate professor N. Sharipov began to head. From 2008 to June 2010, candidate of physics and mathematics M.Abulov worked as an acting head of this department. From 2010 to 2014 candidate of physics and mathematics  A.Imomov worked in the position of head of the department. In 2014, the departments "Mathematical analysis and algebra" and "General Mathematics" were merged and the department "Mathematics" was created. From September 2014 candidate of physics and mathematics E. Alikulov was elected as the head of the department. The Department of "Mathematics" was divided into the departments of "Mathematical analysis and differential equations" and "Algebra and geometry" in November, 2018. Candidate of physics and mathematics E.Alikulov was appointed as the head of the department "Mathematical analysis and differential equations". From 2020 to 2022, the department "Mathematical analysis and differential equations" was headed by doctor of philosophy in physical and mathematical sciences (Ph.D) M.S.Rustamova. This department has been headed by the doctor of philosophy in physical and mathematical sciences (PhD) Nodirov Shohruh Dilmurodovich since September of 2022 year.

Main tasks

Ensure the exact implementation of the Charter of the University, Regulations on the Department; ensure the implementation of the functions and achievement of the tasks of the department in accordance with the Regulations on the department; to manage and manage the activities of the department in accordance with applicable law;

Taught subjects

The Department is primarily focused on training specialists in mathematics-related fields at the Bachelor’s and Master’s levels.

List of Courses Taught at the Bachelor’s Level:
Mathematical Analysis;
Differential Equations;
Theory of Functions of a Complex Variable;
Functional Analysis;
Equations of Mathematical Physics;
Theory of Functions of a Real Variable;
Calculus;
Methods of Mathematical Physics;
Higher Mathematics;
Mathematics.
List of Elective Courses:
Additional Chapters of Mathematics and Physics;
Selected Chapters of Differential Equations;
Operator Theory;
Selected Chapters of Analysis;
Olympiad Problems for Secondary Schools;
Elementary Mathematics.
List of Courses Taught at the Master’s Level:
Measure and Integration Theory;
Operator Theory in Banach Spaces;
Methods of Teaching Specialized Disciplines;
Modern Methods of Mathematical Physics.
List of Elective Courses:
Selected Chapters of Analysis;
Spectral Theory of Operators;
Inverse Problems of Mathematical Physics;
Differential Equations with Loaded Terms and Their Applications;
Discrete Dynamical Systems;
Theory of Stochastic Analysis.

Scientific works

Research Areas:
Dynamical systems with continuous and discrete time.
Direct and inverse problems for equations of mathematical physics.
Gibbs measures and fixed points of nonlinear operators.
Some problems in computability theory.
Linear and Nonlinear Problems with Nonlocal Conditions for Partial Differential Equations of Integer and Fractional Order.

Researchers

The Department currently has 6 doctoral students enrolled in the specialty 01.01.01 — Mathematical Analysis:
1. J.N. Jumaev (academic supervisor — D.Sc. in Physical and Mathematical Sciences, Professor U.A. Rozikov);
2. Sh.S. Bobojonov (academic supervisor — D.Sc. in Physical and Mathematical Sciences, Professor N.M. Jabborov);
3. A.Z. Khalilov (academic supervisor — D.Sc. in Physical and Mathematical Sciences, Associate Professor F.Kh. Khaydarov);
4. S.G‘. O‘ktamova (academic supervisor — D.Sc. in Physical and Mathematical Sciences, Professor M.I. Muminov);
5. J.Z. Istamov (academic supervisor — D.Sc. in Physical and Mathematical Sciences, Associate Professor U.U. Jamilov);
6. Sh.Z. Nurmatova (academic supervisor — D.Sc. in Physical and Mathematical Sciences, Associate Professor A.Yu. Khamraev).
In the specialty 01.01.02 — Differential Equations and Mathematical Physics, 2 doctoral students are currently enrolled:
1. Sh.A. Abdimurodova (academic supervisor — D.Sc. in Physical and Mathematical Sciences, Associate Professor Yu. Fayziev);
2. M.B. Bobokhonova (academic supervisor — D.Sc. in Physical and Mathematical Sciences, Associate Professor Yu. Fayziev).

Cooperation

The department has established scientific cooperation with the relevant departments of Siberian Federal University of Russia, Novosibirsk State University, Kazan Federal University, as well as the Mathematical Institute of the Academy of Sciences of the Republic of Uzbekistan named after V.I.Romanovsky, National University of Uzbekistan, Samarkand State University, Bukhara State University.

Teachers of the department

At present, the Department has a total of 12 academic staff members. Among them, 1 holds the degree of Candidate of Physical and Mathematical Sciences, and 5 hold the degree of Doctor of Philosophy (PhD) in Physical and Mathematical Sciences.
Academic Staff of the Department:
Nodirov Shohruh Dilmurodovich, Candidate of Physical and Mathematical Sciences, Associate Professor;
Khamraev Akhror Yusupovich, Candidate of Physical and Mathematical Sciences, Associate Professor;
Yangiboev Zoyir Shoberdievich, Doctor of Philosophy (PhD) in Physical and Mathematical Sciences, Associate Professor;
Boratov Bakhodir Soyib ugli, Doctor of Philosophy (PhD) in Physical and Mathematical Sciences;
Nuralieva Novbahor Shaymardon qizi, Doctor of Philosophy (PhD) in Physical and Mathematical Sciences;
Dusanova Umida Khomid qizi, Doctor of Philosophy (PhD) in Physical and Mathematical Sciences;
Toshqulova Dilshoda Adham qizi, Lecturer;
Rakhimov Abror Mahmud ugli, Lecturer;
Utaev Azizbek Toir ugli, Trainee Lecturer;
Daminova Mukarram Sulton qizi, Trainee Lecturer;
Safarov Rasul Choriyor ugli, Trainee Lecturer;
Doniyorov Abror Rakhmiddin ugli, Trainee Lecturer.