Математика и физика. Mathematics & Physics (Prepublication)
Ресурсы коллекции
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On the Stability of the Solutions of Inverse Problems for Elliptic Equations
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)The inverse problems on finding the unknown lower coefficient in linear and nonlinear second- order elliptic equations with integral overdetermination conditions are considered. The conditions of overdetermination are ... -
Simulation of the Process of Frost Formation on the Surface of the Heat Exchanger Fin
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)The paper considers the process of heat and mass transfer during the flow of moist air and formation of frost in the inter-fin space of an air heat exchanger at temperature below 0oC. The mathematical model is based on ... -
On the p-fold Well-posedness of Higher Order Abstract Cauchy Problem
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)In this paper, we establish sufficient conditions for the p-fold well-posedness of higher-order abstract Cauchy problem. These conditions are expressed in terms of decay of some auxiliary pencils derived from the ... -
On Periodic Bilinear Threshold GARCH models
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)Periodic Generalized Autoregressive Conditionally Heteroscedastic (P GARCH) models were introduced by Bollerslev et Ghysels. These models have gained considerable interest and continued to attract the attention of ... -
The Weighted Hardy Operators and Quasi-monotone Functions
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)Some Hardy-type inequalities are established by W. T. Sulaiman. The aim of this work is to extend these inequalities for weighted Hardy operators with quasi-monotone functions. Moreover some new integral weighted ... -
Admissible Inference Rules of Temporal Intransitive Logic with the Operator "tomorrow"
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)We investigates non-transitive temporal logic with the "tomorrow" operator. In this logic, the operator "necessary" 2 coincides with the operator “possible” 3 (or almost coincides in reflexive case). In addition to the ... -
On the Collection Formulas for Positive Words
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)For any formal commutator R of a free group F , we constructively prove the existence of a logical formula ER with the following properties. First, if we apply the collection process to a positive word W of the group F ... -
Equilibrium Problem for a Kirchhoff-Love Plate Contacting by the Side Edge and the Bottom Boundary
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)A new model of a Kirchhoff–Love plate which is in contact with a rigid obstacle of a certain given configuration is proposed in the paper. The plate is in contact either on the side edge or on the bottom surface. A ... -
The Impact of Inclination Angle and Thermal Load on Flow Patterns in a Bilayer System Taking into Account the Mass Transfer
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)Bilayer convective flows of liquid and gas-vapor mixture in an inclined channel are modeled taking into account the heat and mass transfer at the thermocapillary interface. Mathematical modeling is based on the exact ... -
On the Real Roots of Systems of Transcendental Equations
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)The work is devoted to finding the number of real roots of systems of transcendental equa- tions. It is shown that if a system has simple roots, then the number of real coordinates of the roots is the same. Therefore, ... -
Some Properties of the Automorphisms of the Classical Domain of the First Type in the Space C [m X n]
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)In this article we obtain an analogue of Theorem 2.2.2 from Rudin’s book [6] for classical Cartan domains of the first type -
Collatz Hypothesis and Planck’s Black Body Radiation
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)The Collatz conjecture is considered and the density of values is compared to Planck’s black body radiation, showing a remarkable agreement with each other. We also briefly discuss a generalisation of Collatz conjecture -
Finding Power Sums of Zeros of an Entire Function of Finite Order of Growth
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)Formulas are given for finding power sums of zeros to a negative power for entire functions of finite order of growth -
On the Bipolar Classification of Endomorphisms of a Groupoid
(Journal of Siberian Federal University. Сибирский федеральный университет, 2024-05)In this paper, a method is obtained for calculating the bipolar type of endomorphism of an arbitrary groupoid. For groupoids with pairwise distinct left translations of elements, the described method for calculating the ...