| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
|---|---|
| Shahar | Toshkent |
| ISSN | 2010-7269 |
| Tashkil etilgan | 1957 |
| Nashr davriyligi | annually. uzbek mathematical journal |
| Maqolalar soni | 86 |
| OAK holati | Ro‘yxatda |
In this article, we consider cohomology groups of maximal solvable Lie algebras. We give necessary and sufficient conditions for cohomological rigidity of certain solvable Lie algebras.
We investigate the interception problem in a differential game with non-inertial players (a pursuer and an evader) who move in dynamic flow fields with various influences. Throughout the paper, we solve the…
In this work, the extremal function of the error functional in the Sobolev space of complex-valued functions is derived. Using the obtained extremal function, the squared norm of the error functional of quadrature…
This paper investigates the periodic and weakly periodic ground states on the Cayley tree of order two and three. Utilizing techniques from statistical mechanics, algebraic graph theory, and group theory, we determine…
We classify almost $\eta$-Ricci-Bourguignon solitons on anti-invariant submanifolds of trans-Sasakian manifolds admitting a generalized symmetric non-metric connection of type $(\alpha,\beta)$. Certain results of such…
In the domain $ \Omega\subset E_{5} $ we consider a set of smooth lines such that through each point $X\in\Omega$ there passes exactly one line $\omega^{1}$ from the given set. The moving frame of the…
In this paper, an initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order in a rectangle is formulated and investigated. The method of energy…
In this paper the spectral properties of the nonlocal Samarskii-Ionkin type problems for a fourth-order ordinary differential equation are investigated. The eigenvalues and corresponding eigenfunctions are found and…
This paper studies an analog of the Tricomi problem for a loaded parabolic-hyperbolic equation of the second kind, which degenerates inside the domain. In proving the existence and uniqueness theorem for a classical…
We analyze an evasion differential game involving one evader and multiple pursuers in $\R^n$. The control functions of the players are subject to exponential integral constraints to ensure bounded energy consumption…
In the paper, we consider a class dynamic control system with a discrete parameter and under conditions of uncertainty in the initial data. The optimal control problem of the minimax type is formulated for a non-smooth…
Hypergeometric functions are divided into complete and confluent functions. For the first time, Srivastava and Karlsson described a method for constructing a set of all possible triple Gaussian hypergeometric series and…
In this paper we study a ratio-dependent predator-prey model with a free boundary caused by predator-prey interaction over a one dimensional habitat. We study the long time behaviors of the two species and prove a…
Let $B$ be a complete Boolean algebra, let $Q(B)$ be the Stone compact of $B$, let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x:Q(B) \rightarrow [-\infty,+\infty],$…
Let $Q$ be the field of rational numbers and $Q^{2}$ be the $2$-dimensional linear space over $Q$. A classification of all non-degenerate symmetric bilinear-metric forms over $Q^{2}$ have obtained. Let $\varphi $ be a…
Let $R$ be a ring, and let $M$ be a right $R$-module. Recently, Baannon and Khalid introduced and studied the concept of $e^*$-essential submodules, extending the notion of essential submodules. In this context…
In this paper, we classify the symmetric Leibniz algebras whose underlying Lie algebra is almost filiform. We also describe the symmetric Leibniz algebras associated with Heisenberg and triangular Lie algebras…
The time-optimal problem is considered for the controllable heat conduction process in a rod. Using the Fourier method, the problem is usually reduced to an infinite system of one-dimensional control equations whose…
In this paper, we first classify all associative algebra structures on a two-dimensional vector space over an arbitrary base field equipped with a non-degenerate bilinear form. We then determine which of these are…
In this work, the problem of stabilizing the equilibrium state for a hyperbolic system with negative nonlocal characteristic velocities and measurement error is investigated. A mixed problem is considered for such…
This paper discusses the frequent occurrence of the Hadamard type integral equation of the first kind in solving problems in aerodynamics, fluid dynamics, wave propagation theory, and ecology. Since the exact solution…
In this paper, we consider the two-state Hard-Core model on the closed Cayley tree of branching ratio two. On the symmetric case, we exactly solve the model and show that there is a phase transition.
In this paper, a real analogue of a quasitrace is given, and its connection with the quasitrace of the enveloping C*-algebra is found.Similar to the complex case, some interesting properties of a quasitrace and the…
The problem of recovering surfaces by the total or extrinsic curvature is related to the solution of the nonlinear elliptic equation of the Monge-Ampere type. Using the geometric method, the existence and uniqueness of…
Let $G~$be finite Jordan domain bounded a Dinismooth curve $\Gamma ~$in the complex plane. Marcinkiewiczmultiplierand Littlewood-Paley type theorems in Smirnov-Orliczclasses, defined in domain $G$, are proved.
In approximate integration, an interesting and relevant problem is the construction of formulas with a minimum number of nodes for a given algebraic degree of accuracy.
We study a differential game of two pursuers and one evader, whose dynamics are described by linear differential equations, in $\mathbb{R}^n$. The control functions of pursuers and evader are subjected to the Grönwall…
In this paper, hypergeometric function of Lauricella $F_{A}^{(n)}$ has been investigated. The new properties of which are established and applied to the solution of the Dirichlet problem for the three-dimensional…
This article studies the inverse problem of finding a multiplier on the right-hand side, depending on the spatial variable $x$. In the direct problem, an initial-boundary value problem for a fourth-order differential…
In this paper, the inverse problem of determining convolution kernel in the time-fractional wave equation with the Caputo derivative is studied. To express the solution of the Cauchy problem, the fundamental solution of…
The mathematical model of the control system considered in this paper is presented in the form of a linear nonstationary differential inclusion. For this model of the control system, the problem of locally relative…
Fractional-order stochastic gradient descent (FOSGD) leverages fractional exponents to capture long-memory effects in optimization. However, its utility is often limited by the difficulty of tuning and stabilizing these…
In this paper we study a global stability problem for polynomial stochastic operators associated with higher-order diagonally primitive doubly stochastic hyper-matrices.
This paper constructs a discrete analogue of the second-order differential operator with variable coefficient. The construction is based on harrow-shaped functions and the application of direct and inverse Fourier…
The well-known classical Dirichlet problem states that if $D\subset {\mathbb R}^{n}$ is a regular domain, then for any continuous function $\varphi (\xi )\in C(\partial D)$, there exists a unique harmonic function…
In this paper we obtain the criterion of weak convergence of the sequence of the sum of the first $n$ terms of the linear process $\left\{X_{kn} ,\; k=1,2,...,n;\; n=1,2,...\right\}$ with random coefficients…
In this work, the complex Lie affgebra structures on three-dimensional solvable Lie algebras are completely determined
In this paper, we investigate a time-fractional diffusion-wave equation, where the classical second-order time derivative is replaced by a fractional derivative of order $\rho \in (1,2)$. We consider a class of…
In the present paper in $L_2^{(m)}(-1,1)$ space an optimal quadrature formula is constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained.
In this paper, we study $p$-adic quasi-Gibbs measures forthe three-state SOS model on a Cayley tree of order two. The existence ofnew translation-invariant $p$-adic quasi-Gibbs measures have been found.Moreover, the…