Address
100174, Tashkent city,
Olmazor district, University
street, house 9
Tel.: +998712079140
Fax: +998712625236
Web site: www.mathinst.uz
Email: uzbmath@umail.uz
Exat: math@exat.uz

Staff
ASHUROV RAVSHAN RADJABOVICH
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academic degree: DSc,
academic title: Professor,
position: Head of laboratory,
speciality: Mathematics
room number: 216,
phone: +998¬903470011,
email: ashurov@gmail.com
The main scientific direction: spectral theory of operators, boundary value problems for equations of mathematical physics, integrodifferential equations


ALIMOV SHAVKAT ARIFJONOVICH
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academic degree: DSc,
academic title: Academician,
position: Chief Researcher,
speciality: Mathematics and Physics
room number: 211,
phone: None,
email: alimovsh@gmail.com
The main scientific direction: spectral theory of operators, boundary value problems for equations of mathematical physics, integrodifferential equations, peridynamics.


UMAROV SOBIR RAXIMBERDIYEVICH
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academic degree: DSc,
academic title: Professor,
position: Chief Researcher,
speciality: Mathematics
room number: 211,
phone: 12034794122,
email: sumarov@newhaven.edu
The main scientific direction: pseudodifferential operators, stochastic differential equations, applied stochastic processes, fractional calculus, complex variable differential equations, spectral theory and applications, nonextensive stochastic mechanics


Hasanov Anvar
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academic degree: DSc,
academic title: Senior Research Fellow,
position: Leading researcher,
speciality: Mathematics
room number: 301,
phone: +998 99 819 95 42,
email: anvarhasanv@yahoo.com
The main scientific direction: 33C05 Classical hypergeometric functions 33C15 Confluent hypergeometric functions 33C20 Generalized hypergeometric series, pFq 33C60 Hypergeometric integrals and functions defined 33C65 Appell, Horn and Lauricella functions 35A08 Fundamental solutions 35J70 Elliptic partial differential equations of degenerate type 35L80 Hyperbolic PDE of degenerate type 35Q05 EulerPoissonDarboux equation and generalizations 35M10 PDE of mixed type 44A20 Transforms of special functions 44A45 Classical operational calculus 45D05 Volterra integral equations


DJAMALOV SIROJIDDIN ZUXRIDDINOVICH
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academic degree: DSc,
academic title: Professor,
position: Chief Researcher,
speciality: Mathematics, Applied Mathematics
room number: 301,
phone: +998909086557,
email: siroj63@mail.ru
The main scientific direction: Boundary value problems of mathematical physics equations, spectral theory of operators, integraldifferential equations


RUZIEV MENGLIBAY KHOLTOJIBAEVICH
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academic degree: DSc,
academic title: Senior Research Fellow,
position: Senior researcher,
speciality: Mathematics
room number: 301,
phone: +998990 1682606,
email: mruziev@mail.ru
The main scientific direction: boundary value problems for partial differential equations of integer and fractional order, special functions and their properties


KADIRKULOV BAXTIYOR JALILOVICH
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academic degree: DSc,
academic title: Professor,
position: Leading researcher,
speciality: Mathematics
room number: 301,
phone: (90) 358 85 96,
email: kadirkulovbj@gmail.com
The main scientific direction: Direct and inverse boundary value problems for partial differential equations of fractional order, spectral theory of operators


ZUNNUNOV RAXIMJOM TEMIRBEKOVICH
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academic degree: PhD,
academic title: ,
position: doctoral student,
speciality: Mathematics
room number: 301,
phone: +998909815277,
email: zunnunov@mail.ru
The main scientific direction: Direct and inverse problems for differential equations with integer and fractional order.


SAFAROV JURABEK SHAKAROVICH
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academic degree: PhD,
academic title: ,
position: doctoral student,
speciality: Mathematics
room number: 301,
phone: +998 90 3703225,
email: j.safarov65@mail.ru
The main scientific direction: Inverse problems for integrodifferential equations.


YULDASHEVA ASAL VIKTOROVNA
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academic degree: PhD,
academic title: ,
position: Senior researcher,
speciality: Mathematics
room number: 301,
phone: +998935618508,
email: yuasv86@mail.ru
The main scientific direction: boundary value problems for mathematical physics equations, integrodifferential equations, peridynamics


MUKHIDDINOVA OKHILA
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academic degree: ,
academic title: ,
position: PhD Student,
speciality: Mathematics and Physics
room number: 301,
phone: +998 999331092,
email: oqila1992@mail.ru
The main scientific direction: Initial  boundary value and inverse problems for partial differential equations


TURAQULOV KHAMIDULLO SHAMSIDINOVICH
academic degree: ,
academic title: ,
position: PhD Student,
speciality: Mathematics
room number: 301,
phone: +998 999930979,
email: hamidtsh87@gmail.com
The main scientific direction: Boundary value and inverse problems for mixedtype equations.


FAYZIEV YUSUF ERGASHEVICH
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academic degree: PhD,
academic title: Professor,
position: Senior researcher,
speciality: Mathematics
room number: 301,
phone: +998909298851,
email: fayziev.yusuf@mail.ru
The main scientific direction: Spectral theory of differential operators of mathematical physics.


Khujakulov Jonibek Raimnazarovich
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academic degree: ,
academic title: ,
position: PhD Student,
speciality: Mathematics and Physics
room number: 301,
phone: : +998 91 9074085,
email: jonibek.16@mail.ru
The main scientific direction: Direct and inverse problems for partial differential equations fractional order.


Seminars 
Head of seminar: academician Sh. A. Alimov and professor R. R. Ashurov, Secretary of seminar: PhD. Zunnunov R. T.
The place of the seminar: Zoom online
The seminar is scheduled once a week on Wednesdays at 16:00 pm Tashkent time.

History of the laboratory
The scientific lab
was named the department of “Differential equations” for the first time.
Academician M.S. Salohiddinov was the head of the department during the years
19641966 and 19742004.
The scientific
laboratory "Differential Equations and Their Applications" of the Institute
of Mathematics named after VI Romanovsky of the Academy of Sciences of the
Republic of Uzbekistan was established in accordance with paragraph 10 of the
Decree of the President of the Republic of Uzbekistan dated July 9, 2019 No
PP4387 . According to Annex 5 to this decision, the scientific laboratory
has 7 staff units.
At present time,
the scientific laboratory is headed by Doctor of Physical and Mathematical
Sciences, Professor R. R. Ashurov. Also in this scientific laboratory the chief
researchers Sh.A.Alimov, S.Umarov, A.Khasanov, S.Z.Djamolov, the leading
scientists M.Kh.Ruziev, B.J.Kadirkulov, the senior scientists A.V.Yuldasheva,
Yu. Fayziev, K. Buvaev and junior researcher F. Dehkanov are engaged in
scientific work. J. Safarov, R. T. Zunnunov, O. H. Abdullaev are studying for a
doctorate, J. Khojakulov, O. Kilichev, O. Muhiddinova, B. Toshtemirov, H.
Turakulov are studying for a doctorate.
Research directions
1. Spectral theory of differential
operators
2. Harmonic analysis
3. Theory of pseudo differential operators
4. Initialboundary value problems for the
partial differential equations
5. Direct and inverse problems for the
fractional differential equations and their applications
6. Investigating the boundaryvalue
problems for mixedtype equations
7. Conducting research on the practical
application of research results.
The main results
An uniquevalued solution to the inverse
problem of determining the fractional order for a subdiffusion equation in two
and multidimensional fields has been proved.
For the mixedtype linear equations of the
first kind of threedimensional (especially the Trikomi and Chapligin
equations), the existence, uniqueness, and smoothness of generalized solutions
of some nonlocal boundary value problems in infinite domains are proved.
For mixedtype loaded linear and nonlinear
equations, the existence and uniqueness of the solution of boundary value
problems with special conjugating conditions have been proved.
It has been proved the existence of the
unique solution of the problem with nonlocal condition for the
fractionalorder, decomposable mixedtype equation.
Some properties of twovariable
MittagLeffler and fourvariable hypergeometric functions which are mostly used
in the study of direct and inverse problems for partial differential equations
with integer and fractional order derivative are investigated.
The properties of the Appel and
Laurichella hypergeometric functions used in the study of single and
doublelayer potentials were studied.
For a mixed
integraldifferential equation with a spectral parameter involving Caputo
fractional order differential operator, uniquely solvability of the boundary
value problem is proved at regular values of the spectral parameter.
The problem which was open since 1976,
generalized localization problem for spherical partial sums of multiple Fourier
series has been completely solved.
A uniquely solvability of local and
nolocal boundary value problems for mixedtype equations has been proved.
Awards
Academician M. S. Salaxiddinov
• In 1974, he was awarded the
Beruni State Prize of Uzbekistan.
• Anniversary medal "For
glorious labor" in 1970
• In 1976 he was awarded the
Medal of the Badge of Honor.
• 1993 Medal of Labor Glory
• In 2007, he was awarded the
Order of Merit.
• In 1984, academician MS
Salahiddinov was awarded the honorary title of "Honored Scientist of Uzbekistan."
• In 1976, he was awarded the
badge of Excellence in Public Education of Uzbekistan
• In 1992 he was awarded the
"Badge of Independence", and in 1992  the "For Meritorious
Service".
Academician Sh. O. Alimov.
• In 1985, academician Sh. O.
Alimov was awarded the Beruni State Prize of Uzbekistan.
• In 2019, he was awarded the
Order of Labor Glory for his achievements in science and education.
International relations
The laboratory cooperates with many
research centers, including:
1. Moscow State University.
2. Institute of Mathematics and
Mathematical Modeling of the Academy of Sciences of the Republic of Kazakhstan
3. KabardinoBalkaria Scientific Center of
the Russian Academy of Sciences, Institute of Applied Mathematics and
Automation.
4. Novosibirsk State University
5. The Vanderbilt university (USA)
6. New Haven University (USA)
7. Tufts University, Medford, MA;
8. Oulu University (Finland)
9. Belgorod State National Research
University NRU BelGU.
10. Ghent University (Belgium)
11. University of California, Merced, CA;
12. Fordham University, New York, NY;
13. CBPF, Rio de Janeiro, Brazil;
14. Free University, Berlin, Germany;
15. Berliner Hochschule fur Technik,
Berlin, Germany;
16. University of Bologna, Bologna, Italy
17. Freiberg Technical University (Germany)
18. Malaysia International Islamic
University (Malaysia)
19. KazakhTurkish University named after
Ahmad Yassavi (Kazakhstan)


