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
Rahmatullayev Muzaffar Muhammadjonovich
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academic degree: DSc,
academic title: Senior Research Fellow,
position: Head of Department,
speciality: Mathematics
room number: ,
phone: +99897 33059 47,
email: mrahmatullaev@rambler.ru
The main scientific direction: Functional analysis


Arzikulov Farhodjon Nematjonovich
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academic degree: DSc,
academic title: ,
position: Principal researcher,
speciality: Mathematics
room number: ,
phone: +99893 449 13 25,
email: arzikulovfn@rambler.ru
The main scientific direction: Algebra and functional analysis


Xakimov Rustam Maxmudovich
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academic degree: DSc,
academic title: ,
position: Leading researcher,
speciality: mathematics, applied mathematics
room number: ,
phone: +99891 366 06 00,
email: rustam7102@rambler.ru
The main scientific direction: Algebra; Probability theory and stochastic processes; Functional analysis


O‘rinov Axmadjon Kushakovich
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academic degree: DSc,
academic title: Professor,
position: Leading researcher,
speciality: Mathematics
room number: ,
phone: +99893 738 93 10,
email: urinovak@mail.ru
The main scientific direction: 


Xodjibayev Vali Raximdjanovich
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academic degree: DSc,
academic title: ,
position: Leading researcher,
speciality: Mathematics
room number: ,
phone: +99891 347 11 49,
email: valikhodjibaev1956@gmail.com
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Apakov Yusupjon Pulatovich
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academic degree: DSc,
academic title: ,
position: Senior researcher,
speciality: Mathematics
room number: ,
phone: +99891 356 35 55,
email: yusupjonapakov@gmail.com
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Samatov Baxrom Tadjiaxmatovich
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academic degree: DSc,
academic title: Professor,
position: Leading researcher,
speciality: Mathematics
room number: ,
phone: +99893 406 92 32,
email: samatov57@inbox.ru
The main scientific direction: 


Karimov Erkinjon To‘qinovich
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academic degree: DSc,
academic title: Senior Research Fellow,
position: Leading researcher,
speciality: Mathematics
room number: ,
phone: +99890 910 74 84,
email: erkinjon.karimov@mathinst.uz
The main scientific direction: 


Irgashev Bahrom Yusuphanovich
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academic degree: DSc,
academic title: ,
position: Senior researcher,
speciality: Mathematics
room number: ,
phone: +99893 403 46 92,
email: bahromirgasev@gmail.com
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Karimjonov Iqboljon Abdulazizovich
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academic degree: PhD,
academic title: ,
position: Senior researcher,
speciality: Mathematics
room number: ,
phone: +99897 990 17 23,
email: iqboli@gmail.com
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Oqboyev Akmaljon Baxromjonovich
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academic degree: PhD,
academic title: ,
position: Junior researcher,
speciality: Mathematics
room number: ,
phone: +99899 972 09 30,
email: akmaljon12012@gmail.com
The main scientific direction: 


Jo‘rayev Ilhomjon Tursunmuxamedovich
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academic degree: ,
academic title: ,
position: Junior researcher,
speciality: Mathematics
room number: ,
phone: +99893 404 88 87,
email: jurayev.ilhomjon.85@gmail.com
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Egamov Dilshod Odiljonovich
academic degree: ,
academic title: ,
position: Junior researcher,
speciality: Mathematics
room number: ,
phone: +99894 633 15 60,
email: dilshodbekegamov87@gmail.com
The main scientific direction: 


Seminars 
Head of the seminar: M.M. Rahmatullayev, DSc, professor, head of department, Secretary of the seminar: D.O. Egamov, Junior researcher
The place of the seminar: Zoom online
The seminars are held regularly on Tuesdays at 14:00
Head of the seminar: M.M. Rahmatullayev, DSc, professor, head of department. Secretary of the seminar: M.A.Rasulova, PhD student of NamSU
The place of the seminar: Zoom online
The seminars are held regularly on Wednesdays at 14:00
Head of the seminar: A.K. O‘rinov, DSc, professor, leading researcher. Secretary of the seminar: Sh. Oripov, probationer researcher
The place of the seminar: Zoom online
The seminars are held regularly on Thursdays at 9:30
Head of the seminar: Y. P. Apakov, DSc, professor, senior researcher. Secretary of the seminar: B.Y. Irgashev, senior researcher
The place of the seminar: Zoom online
The seminars are held regularly on Fridays at 14:00
Head of the seminar: B.T.Samatov, DSc, professor, leading researcher, Secretary of the seminar: O‘.B. Soyibboyev, PhD student
The place of the seminar: Zoom online
The seminars are held regularly on Tuesdays at 10:00
Head of the seminar: R.M.Khakimov, DSc, leading researcher, Secretary of the seminar: M.T. Makhammadaliev, PhD student
The place of the seminar: Zoom online
The seminars are held regularly on Wednesdays at 13:00
Head of the seminar: F.N.Arzikulov, DSc, Principal researcher. Secretary of the seminar:O.O. Nuriddinov, PhD student
The place of the seminar: Zoom online
The seminars are held regularly on Wednesdays at 10:00

History of the laboratory
Namangan regional
department of the V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy
of Sciences, was founded in accordance with item 17 of the Decree № PQ4708 on
7^{th} May 2020 of the President of the Republic of Uzbekistan. In
accordance with Appendix 2 to this Decree, the department was formed with 9
staff units and located at the Namangan State University. At present, the
department is headed by DSc M.Rakhmatullayev. There are principal researcher
F.Arzikulov, leading researchers R.Khakimov, A.Urinov, V.Khodzhibaev,
B.Samatov, E.Karimov, senior researchers Yu.Apakov, I.Irgashev, I.Karimjanov
and junior researchers A.Akbaev, I.Juraev, D.Egamov are engaged in scientific
activities in the department.
Research directions
In the present researchers of the branch are involved in the
following scientific directions:

Gibbs measures on a Cayley tree;

Enveloping *algebras of special
AJWalgebras and derivations of AJWalgebras;

Local and 2local derivations, local and
2local automorphisms of lowdimension Jordan algebras;

Initial and boundary problems for the
degenerate hyperbolic type equations of second kind;

Problems with the integral conditions for
the parabolichyperbolic equations;

Fractional order integraldifferential
operators;

Boundary problems for stochastic processes
with independent increments: asymptotic expansions and twosided estimates for
the distributions and characteristics of some boundary functionals.

Boundary problems for an equation with
degeneration in one variable including fractional derivative of higher order;

The Tricomi problem for mixed
parabolichyperbolic equation;

Differential games with Langenhop,
Gronwall and nonstationary integral constraints on controls;

Classification of automorphisms, local and
2local automorphisms of filiform Leibniz algebras, which are naturally graded
and with a nulfiliform nil radical;

Dynamical systems of quadratic operators
defined on finitedimensional simplex of idempotent measures;
The main results
 The existence of weakly
periodic Gibbs measures for the Ising model on a Cayley tree of order two.
 We find the explicit
form of the unique TIGM and determine the regions where this measure is or is
not extremal for fertile HC models with three states in the cases of hinge and
wand graphs on the Cayley tree of order three. In addition, for the wand graph,
we find the conditions under which the extremal measure is not unique on the
thirdorder Cayley tree.
 A
complete description of twoperiodic Gibbs measures on the Cayley tree of
orders two and three for HC model with two states is obtained and using the
reconstruction method, the extremality of these measures in the area of their
existence is proved.
 In the theory
of differential games, the concept of Langenhop type constraint on controls is
introduced. A relationship of the classes of control with Geometric, Langenhop
and Integral constraint has been studied and for each case, attainability domains
of objects have been defined. In the case of Langenhop constraint, a parallel
pursuit strategy (Пstrategy) is
constructed for the pursuit problem of differential game and sufficient
conditions of pursuit have been determined. In the evasion problem, the least
lower boundary of the distance between players has been found.
 A unique solution of
the boundary problem for higherorder fractional differential equations with
the RiemannLiuoville derivative ina rectangular domain has been found.
 Conditions on
solvability of the Dirichlet type problem for higherorder mixed type equation
with variable coefficients have been found.
Studied the probability of the first exit from a strip
through its upper boundary for the stationary stochastic processes with independent
increments. Found the twosided inequalities for this probability under various
conditions on the process.
 it is proved that
every 2local derivation on a finite dimensional semisimple Jordan algebra over
an algebraically closed field of characteristic different from 2 is a
derivation;
 An infinite Peirce
decomposition of the algebra of compact operators on an infinite dimensional
separable Gilbert space is constructed, using the norm and an analog of the
criterion of the fundamentality of a sequence. It is proved that this infinite
Peirce decomposition is a C*algebra.
 it is proved that every
local and 2local derivation on conservative algebras of 2dimensional algebras
are derivations. Also, we prove that every local and 2local automorphism on
conservative algebras of 2dimensional algebras are automorphisms;
 Unique solvability of
the Tricomi problem for mixed parabolichyperbolic type equation in a space has
been proved.
For the thirdorder
equation with repeated characteristics using the construction of Green function
the uniqueness of solution of the second boundary problem is shown.
 The uniqueness of
solution of the first boundary problem is proved for the elliptic equation with
three singular coefficient in a parallelepiped. The existence of solution of
the problem is proved imposed by the energy integral.
 In proving the existence of solution of the problem, the
spectral method of Fourier relying on separation of variables has been applied.
A solution of the set problem is constructed by the doubled series of
FourierBessel. The asymptotic methods are used to prove smooth convergence.
Obtained estimation allows to prove convergence of the series and that of its
derivatives up to the second order and also to prove the existence theorem in
the class of regular solutions of that equation.
Awards

International relations



