Математика и физика. Mathematics & Physics. 2022 15 (3)
Ресурсы коллекции
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Coincidence Point Results and its Applications in Partially Ordered Metric Spaces
(Сибирский федеральный университет. Siberian Federal University, 2022)The purpose of this paper is to establish some common fixed point theorems for f-nondecreasing self-mapping satisfying a certain rational type contraction condition in the frame of a metric spaces endowed with partial ... -
On Properties of the Second Type Matrix Ball B(2) m;n from Space Cn[m x m]
(Сибирский федеральный университет. Siberian Federal University, 2022)The automorphisms of the matrix ball associated with the classical domains of the second type are described in this paper. The properties of the second type matrix ball B(2) m;n are studied. Keywords: classical domain, ... -
Solution of the Linear Problem of Thermal Convection in Liquid Rotating Layer
(Сибирский федеральный университет. Siberian Federal University, 2022)The initial boundary problem arising in the modeling of viscous fluid creeping rotational motion in a flat layer was solved. A stationary solution was found. The quadrature solution in images was obtained using the Laplace ... -
Variational Formulas of the Monodromy Group for a Third-Order Equation on a Compact Riemann Surface
(Сибирский федеральный университет. Siberian Federal University, 2022)In the present article, we deduce explicit variational formulas for a solution vector and the elements of its monodromy group for a third-order ordinary differential equation on a compact Riemann surface of genus g > 2 ... -
Perturbation Approach for a Flow over a Trapezoidal Obstacle
(Сибирский федеральный университет. Siberian Federal University, 2022)In this paper, we tackle the two-dimensional and irrotational flow of inviscid and incom- pressible fluid over a trapezoidal obstacle. The free surface of the flow which is governed by the Bernoulli condition is determined ... -
A Further Generalization of the Reverse Minkowski Type Inequality via H¨older and Jensen Inequalities
(Сибирский федеральный университет. Siberian Federal University, 2022)The main objective of this article is to establish new generalizations of the reverse Minkowski’s integral inequalities by introducing weighted functions and two integrability parameters. Two new theorems will be proved ... -
On Approximation of Empirical Kac Processes under General Random Censorship Model
(Сибирский федеральный университет. Siberian Federal University, 2022)A general random censorship model is considered in the paper. Approximation results are proved for empirical Kac processes. This model includes important special cases such as random censorship on the right and competing ... -
Dihedral Group of Order 8 in an Autotopism Group of a Semifield Projective Plane of Odd Order
(Сибирский федеральный университет. Siberian Federal University, 2022)We investigate the well-known hypothesis of D. R. Hughes that the full collineation group of a non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written ... -
The Computational Simulation of Temperature and Thermal Stress Fields in a Carbon Block under External Thermal Influences
(Сибирский федеральный университет. Siberian Federal University, 2022)The paper is devoted to modeling the thermal regime and the stress-strain state of a carbon block when it is partially immersed in an electrolyte. The temperature field in the block was determined from the solution of a ... -
A Fixed Point Approach to Study a Class of Probabilistic Functional Equations Arising in the Psychological Theory of Learning
(Сибирский федеральный университет. Siberian Federal University, 2022)Many biological and learning theory models have been investigated using probabilistic func- tional equations. This article focuses on a specific kind of predator–prey relation in which a predator has two prey options, ... -
Central Limit Theorem for Weakly Dependent Random Variables with Values in D[0; 1]
(Сибирский федеральный университет. Siberian Federal University, 2022)The main goal of this article is to prove the central limit theorem for sequences of random variables with values in the space D[0; 1]. We assume that the sequence satisfies the mixing conditions. In the paper the central ... -
Idempotent Values of Commutators Involving Generalized Derivations
(Сибирский федеральный университет. Siberian Federal University, 2022)n the present article, we characterize generalized derivations and left multipliers of prime rings involving commutators with idempotent values. Precisely, we prove that if a prime ring of charac- teristic different from ... -
Coupled Fixed Point Theorems Via Mixed Monotone Property in Ab-metric Spaces & Applications to Integral Equations
(Сибирский федеральный университет. Siberian Federal University, 2022)In this paper, we establish some results on the existence and uniqueness of coupled common fixed point theorems in partially ordered Ab-metric spaces. Examples have been provided to justify the relevance of the results ...