# 2020 - Bulletin of the Institute of Mathematics

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

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## 2020

Archive
Papers published in 2020

1. Allen I. K., Duggal D., Nasir S., Karimov E. T. On a boundary value problem for a time-fractional wave equation with the Riemann-Liouville and Atangana-Baleanu derivatives (1-9)
2. Alimov Sh. A., Yuldasheva A. V. On Cauchy problem for Boussinesq-type equation (10-14)
3. Babajanov B. A., Ruzmetov M. M., Babajanov A. B.  On the integration of a Toda-type chain with an integral type source (15-26)
4. Muydinjanov D. R. Dirichlet problem for Helmholtz equation with the three singular coefficients (27-36)
5. Ruzimuradova D. H., Azamova N. A. The analytic 3D-system with the limit set consisting of four straight lines (37-40)
6. Abdushukurov F. A., Chuprunov A. N.  On the approximation of a Poisson random variable by a Gaussian random  variable (41-49)
7. Azamov S. S. Construction of a discrete analogue of a differential operator (50-58)
8. Kadirkulov B. J., Jalilov M. A. On a nonlocal problem for fourth-order mixed type equation with the Hilfer operator (59-67)
9. Mamadaliev U. X. Description of solvable Leibniz algebras with nilradical Nm;n (68-74)
10. Mamanazarov A. O. Tricomi problems for a parabolic-hyperbolic equation with singular coefficients (75-89)
11. Nurmuhamedova N. S. Local asymptotic normality of statistical experiments in the competing risks model under combined hybrid random censoring (90-94)
12. Oqboev A. B.  Tricomi problem for parabolic-hyperbolic type equation (95-103)
13. Akhmadjon Urinov (dedicated to 70th Anniversary) (104-106)
14. Fayziev A. A., Turgunov T. T. Statistical analysis and forecasting of cotton yield dynamics in the Republic of Uzbekistan (107-111)
15. Fayazova Z. K. Boundary value problem for heat exchange process with Neumann condition in bound of region with integral condition (112-117)
16. Fayazov K. S., Xajiev I. O. The boundary value problem for a second-order differential equation with one line of degeneracy (118-126)
17.Ergashev T.G., Safarbaeva N.M. Holmgren problem for multidimensional Helmholtz equation with one singular coefficient (127-135)

1. Babadjanova A. K. Integration of the matrix Ablowitz-Ladik lattice with a self-consistent source (1-10)
2. Prenov B. B. Some examples of systems of non-algebraic equations (11-18)
3. Rozikov U. A., Shoyimardonov S. K. A Model for COVID-19 Pandemic and Prediction for Uzbekistan (19-21)
4. Seytov Sh. J., Ganikhodzhayev R. N. The method of graphical analysis for some two dimensional dynamical systems (22-26)
5. Abdurasulov K. K. The isomorphism between algebras Inder ($W_n$ ) and  $W_{n-1}$ (27-33)
6. Boltayev A. K., Akhmedov  D. M. An extremal function of a quadrature formula (34-38)
7. Boltayev N. D.  Coefficients of the optimal quadrature formula for approximate calculation of Fourier integrals (39-46)
8. Islomov B. I., Ubaydullayev U. Sh. On a boundary value problem with boundary conditions of the second kind for an equation of parabolic - hyperbolic type with a fractional order operator in the sense of Caputo in a rectangular domain (47-57)
9. Ismoilov A. S. Uniqueness and existence of a solution to the problem of integral geometry in a strip (58-67)
10. Karimov K. T. Dirichlet type problem for a three-dimensional equation of mixed type with three singular coefficients in a semi-infinite parallelepiped (68-82)
11. Kakadjonava L. R. Uniform theorems of the Glivenko-Cantelli and Donsker type for a sequential integral process of independence (83-91)
12. Muxamedov A. K., Kobilov U. X.  Asymptotic normality of two sample Wilcoxson-Mann-Whitney statistics of strongly positive orthant dependent sequences (92-96)
13.  Safarov J. Sh. The problem of determining the kernel of an integro-differential equations with smooth data in a bounded domain (97-102)
14. Usmonov B. Z. The non-local problem for an equation with the third-order elliptic-hyperbolic operator (103-110)

1. Aralova K. A., Jamilov U. U.  On the dynamics of superposition of non-Volterra quadratic stochastic operators (1-14)
2. Durdiev D. K., Nuriddinov Zh. Z.  Kernel determining problem in the integro–differential heat equation with a variable thermal conductivity (15-26)
3. Eshkabilov Yu. Kh., Nodirov Sh. D. On the positive fixed points of quartic operators (27-36)
4. Imomkulov A. N. On absolute nilpotent elements of the evolution algebras corresponding to approximation of finite dimensional algebras (37-41)
5. Ishmetov A. Ya. On C-properties of the space of idempotent probability measures (42-48)
6. Mamatov M. Sh., Nuritdinov J. T. On some laws for calculating the Мinkovski difference and sum (49-59)
7. Mustapokulov Kh. Y. On a certain invariance problem for a constant multivalued mapping in a heat conduction problem with impulse control (60-67)
8. Rahmonov E. S., Beshimov G. R. Complete system of invariants of m-points in the two-dimensional bilinear-metric space with the form $x_1y_1-2x_2y_2$ over the field of rational numbers (68-76)
9. Mohd Danish Siddiqi. Generalized Yamabe solitons on Trans Sasakian manifolds (77-85)
10. Sheraliyev Sh. N. On the solvability of the quasi-linear periodic problem of peridynamics (86-93)
11. Umrzaqov N. M. Local derivations of nilpotent algebras of upper triangular matrices (94-97)
12. Usmonov J. B., Kodirova M. A. A quadratic stochastic operator with variable coefficients (98-107)
13. Aripov M. M., Djabborov O. R. Estimation and asymptotics of solutions the parabolic type equation with double non-linearity and damping (108-118)
14. Kasimov Sh. G., Madrahimov U. S., Koshanov A. P. On unique solvability of multidimensional initial-boundary problem of beam oscillations, one end of which is patched, and the other floating in Sobolev spaces (119-136)
15. Irgashev B. Yu.  Construction of self-similar solutions for high-order equations having degeneracy of the first and second kind (137-143)
16. Ruziev M. X. On a boundary value problem for mixed type equation with singular coefficients (144-152)
17. Umarova G. B. Three-dimensional Tricomi problem for a parabolic-hyperbolic equation with two planes of change of type (153-166)
18. Hayotov A. R., Rasulov R. G. Extension of the Euler-Maclaurin quadrature formula in the space $W_2^(5,4)$ (167-176)
19. Xolboev A. G. The pursuit-evasion game on the 1-skeleton graph of Archimedean solids in the space $R^3$ (177-182)
20. Xurramov N. X. Generalization of the Tricomi Problem for one class of equations of mixed type (183-198)
21. Shaimkulov B. A., Bozorov J. T. Conditions for the holomorphic continuation into a unit polydisc of a function defined on the polydisc skeleton (199-203)

1. Babaev S. S., Davronov J. R., Mamatova N. H. On an optimal interpolation formula in the space $W_{2,\sigma}^{(1,0)}$ (1-12)
2. Iskanadjiev I. M. On Pontyagin’s lower operator in nonlinear differential games with fixed time   (13-20)
3.  Rasulov T. H., Bahronov B. I. Structure of the numerical range of a Friedrichs model:  1D case with rank two perturbation (21-27)
4.  Alikulov E. K. A boundary value problem for loaded parabolic-hyperbolic type equation of the third-order  (28-49)
5.  Azizov A. S. A mixed problem for a fourth order nonhomogeneous equation with singular coefficients in a rectangular (50-59)
6.  Fayazov K. S., Rahmatov H. Ch . Ill-posed boundary value problem for a fourth-order pseudodifferential equation  (60-66)
7.  Jurayev Sh. Yu. Some limit theorems from the theory of critical branching stochastic processes   (67-74)
8.  Karimov K. T. Boundary value problems for a three-dimensional elliptic equation with a singular coefficient in a cylindrical domain (75-97)
9.  Kasimov X. N., Javliyev S. K. Algorithmic representations of ordered unars  (98-104)
10. Okboev A. B. Cauchy-Goursat problem for a second kind degenerated equation of hyperbolic type  (105-112)
11. Khakimov R. M., Umirzakova K. O. The uniqueness conditions for periodic Gibbs measures for one HC-models with three states  (113-119)
12. Kholturaev X. F. Skeletons for compacta of the space of idempotent probability measures (120-127)
13. Khurramov N. X. Problem with the Bitsadze–Samarskiy condition on parallel  characteristics of one family and general conjugation
conditions on the line of degeneration for a single class of equations of mixed type (128-146)
14. Khusanov Dj. X., Berdiyorov F. Sh., Buranov J. I.  Comparative method in stability problems in terms of variable solutions of ordinary differential equations (147-155)
1. Bozarov B. I. Optimal quadrature formulas with the trigonometric weight in Sobolev  space (1-11)
2. Eshimbetov M. R.   Initial-boundary value problem for heat equation on ladder-type graph  (12-19)
3. Khudoyberdiyev A. Kh., Shermatova Z. Kh. Maximal torus of quasi-filiform Leibniz algebras (20-27)
4. Abdurasulov K. K., Solijanova G. O.  Maximal pro-solvable Lie algebras with maximal positively graded ideals of length  3/2    (28-32)
5. Dzhamalov S. Z., Ruziyev U. Sh., Abdullayev O. K.,  Turaqulov Kh. K. On a seminonlocal boundary value problem for a model loaded
mixed type equation of the second kind of the second order in a rectangle  (33-39)
6. Nuraliyev  F. A., Akhmedov D. M. On optimal interpolation formulas of Hermite type in  $L_2^(m)(0,1)$ space (40-47)
7. Rakhimova G. G. The asymptotic Properties of the empirical characteristic process with random sample size (48-52)
8. Khasanov T. G., Normuradov Kh. N. Algorithm for solving the Cauchy problem for the loaded Korteweg-de Vries equation with a free term (53-58)
9. Khusainova B. B.  Central Limit Theorem of momentless conditions I.  (59-64)
10. Sharipov  S. O., Toshqulov Kh. A. Central limit theorem for nearly critical branching processes with weakly dependent immigration  (65-71)
11. Sharipov O. Sh., Ruziyeva D. S. Central limit theorem for $c_0$ space-valued random fields  (72-76)
12. Rasul Ganikhodjayev (dedicated to 75th Anniversary)  (77-78)

1. Karimov U. Sh. On the local derivations on real W*-algebras (1-3)
2. Zunnunov A. O. About the task of prosecuting between a lion and a man in a closed arena (4-8)
3. Abdullayev J. Sh. Estimates of the Bergman kernel for homogeneous bounded domains (9-17)
4. Juraev R. M. Uniformity of space of the G-permutation degree (18-23)
5. Kushmurodov A. A. Strong law of large numbers for m− dependent random fields with values in Banach spaces (24-29)
6. Madrakhimov U. S. Cauchy problem for a fractional order equation with a pseudo-differential operator coefficient related to the oscillation equation of the plate (30-36)
7. Mamanazarov A. O. Boundary value problems for a fractional order mixed parabolic equation in unbounded domains (37-48)
8. Seidullayev A. K. On a regularization problem for the integral problem strip geometry on a family of broken lines (49-54)
9. Tugenov Z. T. Periodic real measures (55-58)
10. Kholturayev Kh. F. On a criterion of metrizability of compact and idempotent probability measures functor (59-64)
11. Khomidov M. K. Gibbs distributions for a discrete Toda chain (65-73)
12. Khusainova B. B. Central limit theorem of without moment conditions. II     (74-78)

"Bulletin of the Institute of Mathematics" electronic journal
(C) Erkinjon Karimov, 2019
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