| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
|---|---|
| Shahar | Toshkent |
| ISSN | 2010-7269 |
| Tashkil etilgan | 1957 |
| Nashr davriyligi | annually. uzbek mathematical journal |
| Ilmiy sohalari | Fizika-matematika |
| OAK ixtisoslik kodi | 01.00.00 (Физика-математика фанлари) |
| Jurnal turi | Миллий |
| OAK holati | Ro‘yxatda |
| Maqolalar indeksda | 86 (2025–2026) |
| Indekslash | Crossref, Scopus |
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O‘zbekiston matematika jurnali — rasmiy sayti
We consider the critical Galton-Watson branching process a special form and possibly with the infinite variance the number of descendants of one particle. Local limit theorem for such process proved.
It is established that any algorithmic representation of any field in a signature with an additive inverse operation that has a nontrivial enumerable subset is negative. In this case, computably and enumerably generated…
Catalan-Mihailescu Theorem states that the only case of difference between two consecutive powers equals 1 is $3^2 -2^3$. This article provides some elementary analyses of integer powers, and proves in that light…
At present the fundamental solutions of the multidimensional singular elliptic equation are known and they are expressed through the well-known Lauricella function $F_A^{(n)}$, the number of variables of which is equal…
This paper investigates an inverse problem for a system of mixed-type second-order differential equations with a variable time direction. The problem involves finding the unknown right-hand side functions from the…
This article investigates two-dimensional integrals involving singularities and multiplicative compositions. The main focus is on deriving lower and upper bounds under various assumptions on the primary function…
We find all the eta quotients in the spaces $M_{1}\left(\Gamma_{0}(20), \left(\frac{d}{*}\right)\right)$ with $d = -4, -20$ of modular forms, and we determine their Fourier coefficients, where $\left(\frac{d}{*}\right)$…
Inspired by quantum mechanics, we introduce a weak form of solutions for differential equations. We show that Schrödinger equation is a weak form of the classical Euler-Lagrange equation.
This work introduces an efficient methodology for approximating solutions to first-order non-linear differential equations. The approach is based on formulating a differential equation with piecewise constant arguments…
We present fixed point theorem for a new type of nonlinear contractive mappings in $\mathfrak{b}$-metric spaces. Also, we present examples to illustrate the validity of the results obtained in the paper. In addition, by…
In this paper, an evasion game for an infinite system of ternary differential equations is studied. The game is considered in the Hilbert space $l_{2}$. The control parameters of pursuer and evader are subject to…
In this work, we study a class of nonlinear elliptic equations of the form $Au=-\Delta _{p}u+ div \left( Vu\right) =R(x,u)$ in a bounded domain $\Omega \subset \mathbb{R}^n$, where $-\Delta _{p}u=- div \left( \left…
Boundary value problems are considered for quasilinear elliptic equations with a principal quasilinear elliptic operator of the second order in the Sobolev space $W_p^2 \left(\Omega\right)$. The main content of the work…
In this work, we obtain explicit estimates for the accuracy of an approximation solution scheme for ODEs. The scheme is of the fourth order and based on the Taylor formula. Here we derive estimates with explicit…
This paper systematically establishes the fundamental geometrical and topological properties of the Minkowski operator on convex sets in an Euclidean space. The convexity, closedness, and boundary properties of the…
In this paper, we study a simple motion evasion differential game of multiple pursuers andone evader. The control functions of the players are subject to integral constraints, where the energies of theplayers change…
In this article, a system of parabolic equations with nonlinear boundary conditionsis transformed into a system of self-similar (automodel) equations by applying a shapeshifting. Anasymptotics for a compact supporting…
Hamilton systems play a fundamental role in mechanics and mathematics, which usually generated by Hamiltonian vector fields.The geometry and topology of vector field orbits is not only an important branch of modern…
This paper is devoted to the study of the geometric structure of neutral strongly facially symmetric (SFS) spaces, which provide a natural framework for modeling aspects of quantum mechanics in geometric terms. We…
The general operadic approach to splitting algebraic operations was developed in [1]. By splitting the product in a given algebraic variety $\mathcal{C}$, notion of $\mathcal{C}$-dendriform algebras was systematically…
This paper proposes a method for solving the problems of the Euler - Bernoulli beam, in which the problem is reduced to the solution of the Fredholm integral equation of the second kind. This integral equation is solved…
In this paper, we address the construction of an optimal quadrature formula in the sense of Sard within a Hilbert space composed of periodic, complex-valued functions, specifically for the purpose of numerically…
In this paper, we present exact solution of haploid Markov chain model that describes the fluctuation of gene frequency under the influence of mutation. Also generalizing Markov chain model we introduce and investigate…
In this paper, we introduce generalized grand Sobolev spaces and using the integral representation method, study some properties of functions from these spaces from the point of view of embedding theory.
This work is devoted to study pursuit problems involving multiple pursuers and a single evader, all moving on the 1-skeleton graph of the dodecahedron. Solutions to the pursuit problems are provided, where the maximum…
In this paper, the Cauchy problem for a differential equation with a fractional Hilfer derivative $D_t^{\alpha,\beta}u(t)+Au(t)=f(t), \ 0
In this work, the problem of constructing an optimal interpolation formula involving derivatives is studied. The values of the unknown function are required not only at the nodal points but also the values of its first…
In the present paper, we study $G_2$-periodic $p$-adic quasi Gibbs measures for the $p$-adic Potts model with an external field on a Cayley tree of order two. We find $G_2$-periodic (non-translation-invariant) $p$-adic…
In this paper, $n$-quasitraces on real C*-algebras are studied. It is proved that if $R$ is a real C*-algebra, then the natural extension of an $n$-quasitrace of $R$ to $R+iR$ is also an $n$-quasitrace, and conversely…
The paper studies quasitraces on real C*-algebras, and AW*-completion of C*-subalgebras with respect to the $d_\tau$-metric generated by quasitrace $\tau$. It is proved that the $d_\tau$-closure of unital real…
In this work, we investigate the thermodynamic properties of the three-state solid-on-solid (SOS) model on a binary Cayley tree. Employing recurrence relations, we analyze the partition function and derive explicit…
This paper investigates the antiperiodic boundary value problem for a 2-parabolic equation with a time-deviating argument. A corresponding spectral problem is constructed, the symmetry of the differential operator is…
A one-dimensional inverse problem for a quasilinear hyperbolic system with an unknown excitation source is considered. The Cauchy problem for a nonlinear Hopf-type system is studied. A Fourier transform is used to…
This paper investigates the influence of the symmetric product functor $SP^{n}$ and the exponential functor $\exp$ on certain types of continuous mappings, focusing specifically on almost-open and pseudo-open mappings…
Non-homogeneous Beatty sequence is a sequence of positive integer that taking the floor value of irrational numbers. This paper using the prime counting function, $\pi(x)$ to estimate the cardinality of total distinct…
This work focuses on classifying three-dimensional complex Leibniz dialgebras. We present a complete list of these algebras when the annihilator of the associated Leibniz algebra is one-dimensional.
We consider the Hamiltonian of a system of two fermions on a two-dimensional lattice ${\mathbb{Z}}^2$ with a certain type potential. It is proved that the subspace of odd functions $L^o_{ {2}} {(}{\mathbb{T}}^{ {2}}…
We consider a model of one-dimensional Schr\"odinger Hamiltonian perturbed by two identical non-local interactions of the form $\delta'(x\pm y)$, symmetrically located at the points $ \pm y$ from the origin. The…
Let two bounded simply connected domains $D\subset {\mathbb C}_{z}$, $G\subset {\mathbb C}_{w}$, and two locally regular compact subsets $E\subset D,\, \, \, F\subset G$ be given. If $f(z,w)$ is a separately analytic…
In this paper, we aim to study the Cauchy problem posed for a fractional order equation. General solution of the time-fractional equation is found by the Fourier method. The solution to the given problem is shown to be…
This article addresses the well-posedness of a coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped. For this problem with nonlocal boundary conditions in anisotropic Sobolev…
In the article, high-accuracy difference schemes for the Cauchy problem for a system of fourth-order equations are obtained. Based on the method of energy inequalities, the stability of the scheme is proved, a priori…
The paper considers a mixed problem for a quasilinear system of hyperbolic equations in Riemann invariants with dissipative nonlinear boundary conditions. To numerically solve the mixed problem, an initial-boundary…
In this paper, a new family of Pauli quaternions whose components are the Gaussian Leonardo numbers is defined. These new Pauli quaternions are called Pauli Gaussian Leonardo quaternions. Furthermore, several properties…
It is studied inequalities between three elementary symmetric polynomials being trinomial generalization of the well-known Muirhead's inequality. Some sufficient conditions have been derived. A sufficient and necessary…
This paper considers the problem of representing a given natural number as combination of two prime numbers and the square of a third prime number taken from an arithmetic progression. It was the rst to establish the…