The Department of "Mathematical analysis and differential equations"

Head of the department: Doctor of Philosophy in Physical and Mathematical Sciences (PhD)

Nodirov Shohruh Dilmurodovich

Phone: (+998 90) 167-92-34

Email address: shoh0809@mail.ru

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.

The department has established cooperation with the Siberian Federal University of Russia, Novosibirsk State University, Kazan Federal University. In the current year 2022, PhD Sh.Nodirov went to Kazan Federal University of the Russian Federation “The International Workshop on Computability Theory 2022”, having trained for 20 days and giving lectures to bachelors, masters and graduate students there (https://mathcenter.kpfu.ru/computability). Sh.Nodirov is maintaining scientific cooperation with professors of Kazan Federal University. 

On November 3, 2022, candidate of Science (Physics-Mathematics) O.A.Danilov arrived from Novosibirsk State University and meetings were organized with students in the areas of mathematics and applied mathematics at Karshi State University. At the meeting, he told the students about the mathematical potential of Novosibirsk State University and the possibilities of cooperation with Karshi State University. The students were introduced to the possibilities of master's and postgraduate studies at Novosibirsk State University.

Since 2019, 14 of our graduates have been sent to Novosibirsk State University to study at Master's degree, 2 of them are studying at the postgraduate studies in the field of our department. In 2022, 4 of our graduate students were sent to Novosibirsk State University to study at Master's degree on the basis of a grant. 

The department provides teaching of all mathematical and specialized subjects in the field of education 60540100-Mathematics, as well as in subjects related to mathematics in other fields of study.

The list of subjects taught for bachelor students:

Mathematical analysis;

Differential equations;

Theory of complex variable functions;

Functional analysis;

Differential equations and mathematical physics;

Mathematical physics equations;

Theory of operators;

Selected chapters of the analysis;

Geometrical principles of TCF;

Selected chapters of mathematical physics equations;

Mathematical physics methods;

Higher mathematics;

Olympiad problems for secondary schools;

Elementary mathematics;

Gibbs measures.

Master's degree

70540101-Mathematics (by directions) 18 masters are studying in the fields of mathematical analysis and differential equations.

The list of subjects taught at the master's degree:

Theory of measures and integrals;

Theory of operators;

Modern methods of mathematical physics;

Theory of functions with many complex variables;

Theory of harmonic analysis;

Analysis across decades;

Discrete dynamical systems;

Theory of stochastic analysis;

Theory of integral equations;

Loaded differential equations and their applications;

Modern methods of mathematical physics;

Problems for equations of mixed type;

Inverse problems of mathematical physics;

Spectral view of differential operator.

Members of the department

Currently, 12 professors-teachers are working in the department.

Professors-teachers of the department:

Dr.Sc.(Phys.-Math.), Professor                          Eshkabilov Yusup Khalbaevich

Ph.D,                                                                Nodirov Shohruh Dilmurodovich

Can.Sc.(Phys.-Math.), docent                           Khamraev Akhror Yusupovich

Ph.D, docent                                                    Yangiboev Zoyir Shoberdievich

teacher                                                            Jumaev Jakhongir Nafasovich

teacher                                                            Khalilov Akbar Zamirovich

teacher                                                            Shoimov Bakhodir Sayfullo ugli

intern-teacher                                                 Dusanova Umida Hamid kizi

intern-teacher                                                 Nuralieva Navbakhor Shaymardon kizi

intern-teacher                                                 Istamov Jahongir Ziyodulla ugli

intern-teacher                                                 Tashkulova Dilshoda Adham kizi

secretary                                                          Urakova Dilnoza Kilichovna 

Doctorate

In the department, 01.01.01 - 2 people are studying in mathematical analysis, 01.01.02 - 1 doctoral student is studying in  differential equations and mathematical physics.

D.J.Kulturayev, supervisor, Dr.Sc.(Phys.-Math.), prof. Y.Kh.Eshkabilov;

B.S.Baratov, supervisor, Dr.Sc.(Phys.-Math.), prof. Y.Kh.Eshkabilov;

A.M.Rakhimov, supervisor, Dr.Sc.(Phys.-Math.), prof. X.Imomnazarov.

Also, 2 intern- researchers are currently studying in the department.

Sh.B.Yusupova,  supervisor, Dr.Sc.(Phys.-Math.), prof. N.Djabborov;

A.H.Mukimov, supervisor, Dr.Sc.(Phys.-Math.), prof. Kh.Imomnazarov.

Scientific Council:

In 2020, at Karshi State University, The scientific council numbered PhD.03/30.06.2020.FM.70.04 started its activity, on  01.01.01 - mathematical analysis, 01.01.02 - differential equations and mathematical physics, which are the main directions of the department. The scientific council and the seminar were mainly composed of the members of the department. In 2021, 5 students successfully defended their dissertations on 01.01.01 - in the specialty of mathematical analysis, for the doctoral degree in philosophy of physical and mathematical sciences.

Scientific directions:

Integral formulas and multidimensional residuals in complex analysis.

Continuous and discrete time dynamic systems.

Correct and inverse problems for mathematical physics equations.

Gibbs measures and fixed points of nonlinear operators.

Seminars and workshops:

At the department, every Thursday, at 11:30 a.m., in the room №115, scientific seminar on the topic "Mathematics and its teaching" will be held under the leadership of professor Yu.Kh.Eshkabilov. In addition to lectures on current topics, discussions of dissertations on doctor of science and doctor of philosophy (PhD) are held at the seminar.

There is a club for students called "Successors of Al-Khorazmi". Circle Time: Every Tuesday at 2:00 p.m. in auditorium №119.

Scientific projects:

In 2017-2021, the fundamental project on "Discrete and continuous-time dynamic systems and spectra of partial integral operators" (OT-F4-22) was successful in the department, the head of the grant was prof. Yu.Kh.Eshkabilov, members: prof. B.Shoimkulov, associate professor E.Alikulov, associate professor A.Khamraev, associate professor O.Gulomov, PhD. J.Bozorov, associate professor M.Rustamova, PhD. Sh.Nodirov.

Scientific partnerships

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.

Department address: 180103, Karshi city, Kochabog 17, building №2, room №115.