2021 - Bulletin of the Institute of Mathematics

Bulletin of the Institute of Mathematics
Founded in 2018
by
Uzbekistan Academy of Sciences
V.I.Romanovskiy Institute of Mathematics
and
Mathematical Society of Uzbekistan

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2021

Archive
Papers published in 2021

1. Mirzaeva M. M. On an integral-differential equation with the Caputo-Fabrizio operator and its application in solving boundary-value problem for partial differential equation. Bull. Inst. Math., 2021, Vol.4, №1, pp. 1-10  pdf
2. Sharipov A. S.,  Topvoldiyev F. F.  On some properties of surfaces with isometric on sections. Bull. Inst. Math., 2021, Vol.4, №1, pp. 11-15  pdf
3. Allakov I., Ismoilov M.  Refined estimate, for the number of points with integer coordinates in the circle.  Bull. Inst. Math., 2021, Vol.4, №1, pp.  16-19  pdf
4. Abdushukurov A. A., Kakadjanova L. R.  Empirical characteristic processes of independence. Bull. Inst. Math., 2021, Vol.4, №1, pp. 20-27  pdf
5. Kadirkulov B. J., Kayumova G. A. On a nonlocal problem for second-order mixed type equation with the Hilfer operator. Bull. Inst. Math., 2021, Vol.4, №1, pp.  28-37  pdf
6. Rajabov E. O., Sharipov Kh. F. On the geometry of orbit of conformal vector fields. Bull. Inst. Math., 2021, Vol.4, №1, pp.  38-45  pdf
7. Urinov A. K., Usmonov D. A.   About modified Cauchy problem for a second kind degenerated hyperbolic equation. Bull. Inst. Math., 2021, Vol.4, №1, pp.  46-63  pdf
8. Khamdamov I. M. On the role of extremal terms in the probability of large deviations in truncated sums. Bull. Inst. Math., 2021, Vol.4, №1, pp. 64-70  pdf
9. Khalilov K S. Problems with integral conditions for a third order of parabolic-hyperbolic equation. Bull. Inst. Math., 2021, Vol.4, №1, pp. 71-81 pdf
10. Vladimir Ivanovich Chilin (dedicated to 70th Anniversary). Bull. Inst. Math., 2021, Vol.4, №1, pp. 82-85  pdf
11. Dedicated to the Memory of Vladimir Grigorevich Vinokurov. Bull. Inst. Math., 2021, Vol.4, №1, pp.  86-87  pdf

1. Absalamov A. Т., Rozikov U. A.. A Regular Gonosomal Evolution Operator with uncountable set of fixed points. Bull. Inst. Math., 2021, Vol.4, №2, pp. 1-13 pdf
2. Durdiev D. Q., Boltaev A. A.  A Regular Gonosomal Evolution Operator with uncountable set of fixed points. Bull. Inst. Math., 2021, Vol.4, №2, pp. 14-20 pdf
3. Jalilov A. A. Herman’s Maps and Sturmian Sequence. Bull. Inst. Math., 2021, Vol.4, №2, pp. 21-27 pdf
4. Reynolds  M. R.  A Mellin transform of logarithmic and rational function with cubic powers expressed in terms of the Lerch function. Bull. Inst. Math., 2021, Vol.4, №2, pp. 28-38 pdf
5. Javliyev S. K., Xodjamuratova I. A. On one class of universal algebras, which all Hausdorff numbers are negative. Bull. Inst. Math., 2021, Vol.4, №2, pp. 39-45 pdf
6. Djalilov A. A., Abdukhakimov S. Kh. Behavior of the dispersion of the stochastic Lyapunov function for the Feigenbaum map. Bull. Inst. Math., 2021, Vol.4, №2, pp. 46-52 pdf
7. Kurbanov Kh. Kh., Zaitov A. A. Description of the space of max-plus-semiadditive functionals. Bull. Inst. Math., 2021, Vol.4, №2, pp. 53-60 pdf
8. Kilichov O. Sh. Boundary value problem for a fourth order partial differential equation. Bull. Inst. Math., 2021, Vol.4, №2, pp. 61-69 pdf
9. Kulturayev D. J. On the infinity of the discrete spectrum of linear self-adjoint operators in the Friedrichs model. Bull. Inst. Math., 2021, Vol.4, №2, pp. 70-78 pdf
10. Mukhamedov A. K. Strong convergence of the estimation of the empirical survival function of stationary linearly positive quadrant dependent random variables. Bull. Inst. Math., 2021, Vol.4, №2, pp. 79-84 pdf
11. Sagdullayeva M. M. On solvability of nonlocal problem for third–order equation with heat operator. Bull. Inst. Math., 2021, Vol.4, №2, pp. 85-89 pdf
12. Srajdinov I. F. Initial-boundary value problem for one system of composite type. Bull. Inst. Math., 2021, Vol.4, №2, pp. 90-94 pdf
13. Khamdamov I. M. Limit distribution of the perimeter of the convex hull generated by a Poisson point process in a cone. Bull. Inst. Math., 2021, Vol.4, №2, pp. 95-98 pdf
14. Hayotov A. R., Xayriyev U. N., Maxkamova D. An optimal quadrature formula for approximate calculation of integrals with exponential weight and its application. Bull. Inst. Math., 2021, Vol.4, №2, pp. 99-108 pdf
15. Choriyeva S. T., Bobomurodov U. E. Nonlocal boundary value problem with general conjugation conditions for a hyperbolic equation degenerating inside the domain with singular coefficients. Bull. Inst. Math., 2021, Vol.4, №2, pp. 109-121 pdf
16. Ergashev T. G., Ergashev O. T. Potentials for generalized bi-axially symmetric elliptic equation and their application. Bull. Inst. Math., 2021, Vol.4, №2, pp. 122-135 pdf
17. Eshimbetov M. R.  Luzin measurable functions and idempotent τ-smooth measures. Bull. Inst. Math., 2021, Vol.4, №2, pp. 136-142 pdf

1. Aripov M. M., Muqimov A. Sh. Asymptotic behavior of solutions of semilinear parabolic systems at the critical parameter. Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
2. Khudoyberdiyev A. Kh., Shermatova Z. Kh. On Leibniz algebras with only inner derivations.Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
3. Rozikov U. A., Hamidov Sh. Sh. p-adic dynamical systems of $\frac{a}{x^2+1}$. Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
4. Akhmadaliyev G. N. Constructing a hyperbolic spline. Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
5. Tukhtabayev A. M., Bunazarov Kh. K. Some problems related to the square root in the field $Q_p$.Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
6. Artiqbayev A., Mamadaliyev B. M. Geometry on subspaces of space $^2R_5$.Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
7. Boltayev A. K. An extremal function of an interpolation formula in the space $W_2^{(3,0)}(0,1)$.Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
8. Djamalov S. Z., Ashurov R. R., Turakulov H. Sh. On a nonlocal boundary value problem of periodic type for the three-dimensional Tricomi equation in an unbounded prismatic domain.  Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
9. Imanbaev N. S., Kurmish E. On eigenfunctions of an operator of composite type with periodic boundary conditions. Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
10. Madirimov M., Zaitov A. A. Equivariant maps of probability measures space. Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
11. Muratova Kh. A. Solvable Leibniz superalgebras with four-dimensional nilradicals with nilindex equal to 4. Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
12. Safarov J. Sh. On the global solvability of an inverse problem for an integrodifferential wave equation in a bounded domain.Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
13. Tadjieva M. A., Eshmamatova D. B., Eshniyozov A. I., Ganikhodjayev R. N. The spectrum of the Jacobian at fixed points of mappings Volterra trays operating in S^4 with homogeneous tournament and matrix in general position.  Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
14. Khoitmetov U. A. Integration of the loaded modified Korteweg-de Vries equation.Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf
15. Shadimetov Kh. M., Nuraliyev F. A., Esanov Sh. J. Composite lattice optimal cubature formulas in the space of periodic functions. Bull. Inst. Math., 2021, Vol.4, №3, pp. 1-8 pdf

1. Artykbaev A., Ismoilov Sh. Sh. The dual surfaces of an isotropic space R^{2}_{3}. Bull. Inst. Math., 2021, Vol.4, №4, pp. 1-8 pdf
2. Karimov E. T., Sobirov Z. A., Khujakulov J. R. Solvability of a problem for a time fractional differential equation with the Hilfer operator on metric graphs. Bull. Inst. Math., 2021, Vol.4, №4, pp. 9-18 pdf
3. Lakaev S. N., Abdukhakimov S. Kh. On the existence of bound states of a system of two fermions interacting on a lattice. Bull. Inst. Math., 2021, Vol.4, №4, pp. 19-27 pdf
4. Ochilov Z. Kh. Existence of solutions to problems of integral geometry by a family of parabolas with a weight function of a special form. Bull. Inst. Math., 2021, Vol.4, №4, pp. 28-33 pdf
5. Rakhimov I. D. Integration of the loaded nonlinear Schrodinger equation via inverse scattering method. Bull. Inst. Math., 2021, Vol.4, №4, pp. 34-38 pdf
6. Samatov B. T., Khorilov M. A., Akbarov A. Kh. Differential games with the non-stationary integral constraints on controls. Bull. Inst. Math., 2021, Vol.4, №4, pp. 39-46 pdf
7. Tagaymurotov A. O. The Minkowski functional as a metric on the space of probability measures. Bull. Inst. Math., 2021, Vol.4, №4, pp. 47-50  pdf
8. Azizov M. S. Inverse problem for a fourth order equation with a singular coefficient. Bull. Inst. Math., 2021, Vol.4, №4, pp. 51-60  pdf
9. Gaybullayey R. K. Maximal solvable 4-Lie extension of filiform algebras. Bull. Inst. Math., 2021, Vol.4, №4, pp. 61-69  pdf
10. Ibragimov G. I., Kuchkarova S. A. Existence and uniqueness of solutions of an infinite system of 2-block of differential equations. Bull. Inst. Math., 2021, Vol.4, №4, pp. 70-75 pdf
11. Irgashev B. Yu. Solving the problem with initial conditions for the higher order equation with the Hilfer fractional derivative. Bull. Inst. Math., 2021, Vol.4, №4, pp. 76-92 pdf
12. Ismoilov A. I. A Cauchy-Goursat problem for nonhomogeneous Euler-Poisson-Darboux equation. Bull. Inst. Math., 2021, Vol.4, №4, pp. 93-105 pdf
13. Kuldoshev Kh. M., Azamov S. S., Makhmudov M.M. Construction of a discrete analogue of a differential operator d^{4}/dx^{4}-\sigma^{2} d^{2}/dx^{2}. Bull. Inst. Math., 2021, Vol.4, №4, pp. 106-112 pdf
14. Mamanazarov A. O. Problems with an integral condition for a parabolic hyperbolic equation. Bull. Inst. Math., 2021, Vol.4, №4, pp. 113-123 pdf
15. Mukhamedov A. K., Kobilov U. Kh. Strong convergence of density estimator of stationary pairwise positive quadrant dependent random variables. Bull. Inst. Math., 2021, Vol.4, №4, pp. 124-128 pdf

1. Islomov B. I., Dusanova U. Kh.   A non-local problem with integral gluing condition for loaded  mixed type equation involving the Caputo fractional derivative. Bull. Inst. Math., 2021, Vol.4, №5, pp. 1-8 pdf
2. Xakimov  O.  N.,  Abdullaeva  G.  Sh.  On  dynamics  of  2-Adic  Ising-Potts  mapping  and  its  applications. Bull. Inst. Math., 2021, Vol.4, №5, pp. 9-17 pdf
3. Tishaboyev  J.  K.,  Tirkasheva  G.  D. Uniqueness  and  open  mapping  theorems  and  Caratheodore metric for A(z) - analytic functions. Bull. Inst. Math., 2021, Vol.4, №5, pp. 18-23 pdf
4. Turdiyev  Kh.  Kh. The  problem of  determining the  memory in two-dimensional system  of  integro-differential Maxwell’s equations. Bull. Inst. Math., 2021, Vol.4, №5, pp. 24-39 pdf
5. Boltayev A. K., Davronov J. R. Coefficients of the optimal quadrature formula in the sense of  Sard in the Sobolev space $L_2^{(1,0)}(0,1)$. Bull. Inst. Math., 2021, Vol.4, №5, pp. 40-49 pdf
6. Abdushukurov A. A., Erisbayev S. A. Fisher’s information and Cramer–Rao type inequality for  the competing risk model. Bull. Inst. Math., 2021, Vol.4, №5, pp. 50-58 pdf
7. Allakov I., Safarov A. Sh. New estimates for the exceptional set of the sum of two primes  from an arithmetic progression. Bull. Inst. Math., 2021, Vol.4, №5, pp. 59-75 pdf
8. Aripov M. M., Nigmanova D. B., Raimbekov J. R. Non-Newtonian equation of non-divergent  polytropic filtration. Bull. Inst. Math., 2021, Vol.4, №5, pp. 76-83 pdf
9. Zarifzoda  S. K. Obtaining explicit  solutions  of the  Riemann problem  for the  second order Differential Equation of the Riemann type with four singular points. Bull. Inst. Math., 2021, Vol.4, №5, pp. 84-92 pdf
10. Karimjonov I. A., Khabibullayev A. R., Khakimova N. R. Rota-type operators on 3-dimensional  nilpotent algebras. Bull. Inst. Math., 2021, Vol.4, №5, pp. 93-100 pdf
11. Kudratov Kh. E. Estimation of the rate of convergence of the critical Galton-Watson branching  process. Bull. Inst. Math., 2021, Vol.4, №5, pp. 101-106 pdf
12. Mirsaburov M., Allakova Sh. I. For the Gellerstedt equation with a singular coefficient in an  infinite field, the Tricomi condition in the boundary characteristic is missing, and the Bitsadze- Samarsky condition in the parallel characteristic is given. Bull. Inst. Math., 2021, Vol.4, №5, pp. 107-126 pdf
13. Turmetov B. Kh., Kadirqulov B. J. On a Problem for a Nonlocal Equation of Mixed Type of  Fractional Order with Degeneration. Bull. Inst. Math., 2021, Vol.4, №5, pp. 127-136 pdf


1. Aliyev A. F.   Central limit theorem for circle dynamics with external strong mixing noise. Bull. Inst. Math., 2021, Vol.4, №6, pp. 1-7 pdf
2. Ishmetov A. Ya., Kurbanov Kh. Kh.  On the monad of the functor OS_f. Bull. Inst. Math., 2021, Vol.4, №6, pp. 8-12 pdf
3. Khalkhuzhaev A. M., Pardabaev M. A. Asymptotics of eigenvalues of the discrete bilaplacian  with zero-range perturbation. Bull. Inst. Math., 2021, Vol.4, №6, pp. 13-24 pdf
4. Nazarov Kh. A. An automorphism of real factor  B(H_r)  is inner. Bull. Inst. Math., 2021, Vol.4, №6, pp. 25-27 pdf
5. Rakhimov  A.  A.,    Karimov  U.  Sh.  Local  derivations  of  real  factors  and  JW- factors. Bull. Inst. Math., 2021, Vol.4, №6, pp. 28-30 pdf
6. Utebaev D.,  Utepbergenova G.Kh.,  Tleuov K.O. On convergence of difference schemes for  the generalized equation of moisture transfer in a weak metric. Bull. Inst. Math., 2021, Vol.4, №6, pp. 31-41 pdf
7. Yuldashev  T.  K.,  Fayziev  A.  K. On  a  nonlinear  impulsive  differential  equations  with  maxima. Bull. Inst. Math., 2021, Vol.4, №6, pp. 42-49 pdf
8. Nuritdinov J. T. On Minkowski difference of triangles. Bull. Inst. Math., 2021, Vol.4, №6, pp. 50-57 pdf
9. Abdullayev A. A., Islomov Kh. On a boundary value problem with a co-normal condition for  elliptic type equation of the second kind. Bull. Inst. Math., 2021, Vol.4, №6, pp. 58-70 pdf
10. Babaev  M.  M. On  the  solvability  of  a  mixed  problem  for  a  fractional-order  equation  in  Sobolev  classes  associated  with  PDO  with  nonlocal  boundary  conditions  and  a  lagging  argument in time. Bull. Inst. Math., 2021, Vol.4, №6, pp. 71-81 pdf
11. Kuryazov D. M.  Algorithm for digital signature based on the complexity of solving problems  of discrete logarithm and factorization. Bull. Inst. Math., 2021, Vol.4, №6, pp. 82-86 pdf
12. Kushmurodov A. A., Sharipov O. Sh. Marcinkiewicz-Zygmund law of large numbers for weakly  dependent random variables with values in Banach spaces. Bull. Inst. Math., 2021, Vol.4, №6, pp. 86-91 pdf
13. Madgoziev  G.  T.  A  non-extremality  condition  of  a  Gibbs  measure  for  a  HC- model. Bull. Inst. Math., 2021, Vol.4, №6, pp. 92-99 pdf
14. Rakhmonov  F.  D.    Non-local  boundary  value  problem  for  a  high-order  Benny-Luke  type  differential equation with a nonlinear over-determination function. Bull. Inst. Math., 2021, Vol.4, №6, pp. 100-112 pdf
15. Fayazov K. S., Khajiev I. O. An ill-posed boundary value problem for the mixed-type equation  in the multidimensional case. Bull. Inst. Math., 2021, Vol.4, №6, pp. 113-122 pdf

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