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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika最新文献

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Lower semicontinuity of distortion coefficients for homeomorphisms of bounded (1, sigma )-weighted (q, p)-distortion on Carnot groups 卡诺群上有界(1, sigma )-加权(q, p)-失真同构的失真系数的下半连续性
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-04-09 DOI: 10.26907/0021-3446-2024-3-84-90
S. K. Vodopyanov, D. A. Sboev
{"title":"Lower semicontinuity of distortion coefficients for homeomorphisms of bounded (1, sigma )-weighted (q, p)-distortion on Carnot groups","authors":"S. K. Vodopyanov, D. A. Sboev","doi":"10.26907/0021-3446-2024-3-84-90","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-3-84-90","url":null,"abstract":"In this paper we study the locally uniform convergence of homeomorphisms with bounded (1,σ)-weighted (q,p)-distortion to a limit homeomorphism. Under some additional conditions we prove that the limit homeomorphism is a mapping with bounded (1,σ)-weighted (q,p)-distortion. Moreover, we obtain the property of lower semicontinuity of distortion characteristics of homeomorphisms.","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"23 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140722000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Averaging of a normal system of ordinary differential equations of high frequency with a multipoint boundary value problem on a semi-axis 带有半轴上多点边界值问题的高频常微分方程正态系统的平均化
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-04-09 DOI: 10.26907/0021-3446-2024-3-64-69
V. B. Levenshtam
{"title":"Averaging of a normal system of ordinary differential equations of high frequency with a multipoint boundary value problem on a semi-axis","authors":"V. B. Levenshtam","doi":"10.26907/0021-3446-2024-3-64-69","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-3-64-69","url":null,"abstract":"A multipoint boundary value problem for a nonlinear normal system of ordinary differential equations with a rapidly time-oscillating right-hand side is considered on a positive time semi-axis. For this problem, which depends on a large parameter (high oscillation frequency), a limiting (averaged) multipoint boundary value problem is constructed and a limiting transition in the Hölder space of bounded vector functions defined on the considered semi-axis is justified. Thus, for normal systems of differential equations in the case of a multipoint boundary value problem, the Krylov-Bogolyubov averaging method on the semi-axis is justified.","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"31 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140720693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Classical solution of the Cauchy problem for a semilinear hyperbolic equation in the case of two independent variables 两个独立变量情况下半线性双曲方程考奇问题的经典解法
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-04-08 DOI: 10.26907/0021-3446-2024-3-50-63
V. I. Korzyuk, J. V. Rudzko
{"title":"Classical solution of the Cauchy problem for a semilinear hyperbolic equation in the case of two independent variables","authors":"V. I. Korzyuk, J. V. Rudzko","doi":"10.26907/0021-3446-2024-3-50-63","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-3-50-63","url":null,"abstract":"In the upper half-plane, we consider a semilinear hyperbolic partial differential equation of order higher than two. The operator in the equation is a composition of first-order differential operators. The equation is accompanied with Cauchy conditions. The solution is constructed in an implicit analytical form as a solution of some integral equation. The local solvability of this equation is proved by the Banach fixed point theorem and/or the Schauder fixed point theorem. The global solvability of this equation is proved by the Leray-Schauder fixed point theorem. For the problem in question, the uniqueness of the solution is proved and the conditions under which its classical solution exists are established.","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"282 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140730278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigation of the asymptotics of the eigenvalues of a second order quasidifferential boundary value problem 二阶准微分边界值问题特征值渐近学研究
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-04-08 DOI: 10.26907/0021-3446-2024-3-15-37
M. Y. Vatolkin
{"title":"Investigation of the asymptotics of the eigenvalues of a second order quasidifferential boundary value problem","authors":"M. Y. Vatolkin","doi":"10.26907/0021-3446-2024-3-15-37","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-3-15-37","url":null,"abstract":"","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"29 28","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140732302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coefficient inverse problem for an equation of mixed parabolic-hyperbolic type with a non-characteristic line of type change 具有非特征线型变化的抛物-双曲混合型方程的系数反问题
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-04-08 DOI: 10.26907/0021-3446-2024-3-38-49
D. Durdiev
{"title":"Coefficient inverse problem for an equation of mixed parabolic-hyperbolic type with a non-characteristic line of type change","authors":"D. Durdiev","doi":"10.26907/0021-3446-2024-3-38-49","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-3-38-49","url":null,"abstract":"In this paper, we study the direct and two inverse problems for a model equation of mixed parabolic-hyperbolic type. In the direct problem, the Tricomi problem for this equation with a non-characteristic line of type change is considered. The unknown of the inverse problem is the variable coefficient at the lowest derivative in the parabolic equation. To determine it, two inverse problems are studied: with respect to the solution defined in the parabolic part of the domain, the integral overdetermination condition (inverse problem 1) and one simple observation at a fixed point (inverse problem 2) are given. Theorems on the unique solvability of the formulated problems in the sense of classical solution are proved.","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"99 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140731749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Integrability of series with respect to multiplicative systems and generalized derivatives 关于乘法系统和广义导数的数列积分性
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-04-08 DOI: 10.26907/0021-3446-2024-3-3-14
N. Agafonova, S. Volosivets
{"title":"Integrability of series with respect to multiplicative systems and generalized derivatives","authors":"N. Agafonova, S. Volosivets","doi":"10.26907/0021-3446-2024-3-3-14","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-3-3-14","url":null,"abstract":"We give some necessary and sufficient conditions for the convergence of generalized derivatives of sums of series with respect to multiplicative systems and the corresponding Fourier series. These conditions are counterparts of trigonometric results of S. Sheng, W.O. Bray and Cv .V. Stanojevi´c and extend some results of F. M´oricz proved for Walsh–Fourier series","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"179 S443","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140731078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the number of components of the essential spectrum of one 2х2 operator matrix 关于一个 2х2 算子矩阵的基本谱成分数
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-03-13 DOI: 10.26907/0021-3446-2024-2-85-90
M. I. Muminov, I. Bozorov, T. Rasulov
{"title":"On the number of components of the essential spectrum of one 2х2 operator matrix","authors":"M. I. Muminov, I. Bozorov, T. Rasulov","doi":"10.26907/0021-3446-2024-2-85-90","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-2-85-90","url":null,"abstract":"In this paper, a 2х2 block operator matrix H is considered as a bounded and self-adjointoperator in a Hilbert space. The location of the essential σess(H) of operator matrix H is described via the spectrum of the generalized Friedrichs model, i.e. the two- and three-particle branches of the essential spectrum σess(H) are singled out. We prove that the essential spectrum σess(H)  consists of no more than six segments (components).","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"408 2‐3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140246884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Transformation model of the dynamic deformation of an elongated cantilever plate mounted on an elastic support element 安装在弹性支撑元件上的拉长悬臂板动态变形的变换模型
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-03-13 DOI: 10.26907/0021-3446-2024-2-91-99
V. N. Paimushin, A. N. Nuriev, S. F. Chumakova
{"title":"Transformation model of the dynamic deformation of an elongated cantilever plate mounted on an elastic support element","authors":"V. N. Paimushin, A. N. Nuriev, S. F. Chumakova","doi":"10.26907/0021-3446-2024-2-91-99","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-2-91-99","url":null,"abstract":" A transformation model of the dynamic deformation of an elongated orthotropic composite rod-type plate, consisting of two sections (fastened and free) along its length, is proposed. In the free section, the orthotropic axes of the material do not coincide with the axes of the Cartesian coordinate system chosen for the plate, and in the fastened section, the displacements of points of the contact’s boundary surface (rigid connection) with the elastic support element are considered to be known. The constructed model is based on the use for the free section of the relations of the refined shear model of S.P. Timoshenko, compiled for rods in a geometrically nonlinear approximation without taking into account lateral strain deformations. For the section fastened on the elastic support element, a one-dimensional shear deformation model is constructed taking into account lateral strain deformations, which is transformed into another model by satisfying the conditions of kinematic coupling with the elastic support element with given displacements of the interface points with the plate. The conditions for the kinematic coupling of the free and fastened sections of the plate are formulated. Based on the Hamilton–Ostrogradsky variational principle, the corresponding equations of motion and boundary conditions, as well as force conditions for the coupling of sections, are derived. The constructed model is intended to simulate natural processes and structures when solving applied engineering problems aimed at developing innovative oscillatory biomimetic propulsors","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"269 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140247323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Wave analysis and representation of fundamental solution in modified couple stress thermoelastic diffusion with voids, nonlocal and phase lags 有空隙、非局部和相位滞后的修正耦合应力热弹性扩散中的波分析和基本解的表示方法
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-03-11 DOI: 10.26907/0021-3446-2024-2-37-58
R. Kumar, S. Kaushal, Bh. Pragati
{"title":"Wave analysis and representation of fundamental solution in modified couple stress thermoelastic diffusion with voids, nonlocal and phase lags","authors":"R. Kumar, S. Kaushal, Bh. Pragati","doi":"10.26907/0021-3446-2024-2-37-58","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-2-37-58","url":null,"abstract":"In the present study, we explore a new mathematical formulation involving modifiedcouple stress thermoelastic diffusion (MCTD) with nonlocal, voids and phase lags. The governingequations are expressed in dimensionless form for the further investigation. The desired equationsare expressed in terms of elementary functions by assuming time harmonic variation of the fieldvariables (displacement, temperature field, chemical potential and volume fraction field). Thefundamental solutions are constructed for the obtained system of equations for steady oscillation,and some basic features of the solutions are established. Also, plane wave vibrations has beenexamined for two dimensional cases. The characteristic equation yields the attributes of waves likephase velocity, attenuation coefficients, specific loss and penetration depth which are computednumerically and presented in form of distinct graphs. Some unique cases are also deduced. Theresults provide the motivation for the researcher to investigate thermally conducted modified couplestress elastic material under nonlocal, porosity and phase lags impacts as a new class of applicablematerials.","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140254446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem 非局部抛物线障碍物问题中带有惩罚的有限元法隐式方案的精度
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika Pub Date : 2024-03-11 DOI: 10.26907/0021-3446-2024-2-3-21
O. V. Glazyrina, R. Dautov, D. A. Gubaidullina
{"title":"Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem","authors":"O. V. Glazyrina, R. Dautov, D. A. Gubaidullina","doi":"10.26907/0021-3446-2024-2-3-21","DOIUrl":"https://doi.org/10.26907/0021-3446-2024-2-3-21","url":null,"abstract":" In order to solve a parabolic variational inequality with a nonlocal spatial operator and a one-sided constraint on the solution, a numerical method based on the penalty method, finite elements, and the implicit Euler scheme is proposed and studied. Optimal estimates for the accuracy of the approximate solution in the energy norm are obtained.","PeriodicalId":507800,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika","volume":"11 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140254063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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