发布求助
文献互助 智能选刊 最新文献

Russian Mathematics最新文献

筛选
英文 中文
Accuracy of an Implicit Scheme for the Finite Element Method with a Penalty for a Nonlocal Parabolic Obstacle Problem 非局部抛物线障碍问题中带有惩罚的有限元法隐含方案的精度
IF 0.4
Russian Mathematics Pub Date : 2024-06-04 DOI: 10.3103/s1066369x24700075
O. V. Glazyrina, R. Z. 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. Z. Dautov, D. A. Gubaidullina","doi":"10.3103/s1066369x24700075","DOIUrl":"https://doi.org/10.3103/s1066369x24700075","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>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.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"19 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254663","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 Quasi-Invariance of Harmonic Measure and Hayman–Wu Theorem 论谐波量的准不变量和海曼-吴定理
IF 0.4
Russian Mathematics Pub Date : 2024-06-04 DOI: 10.3103/s1066369x24700087
S. Yu. Graf
{"title":"On Quasi-Invariance of Harmonic Measure and Hayman–Wu Theorem","authors":"S. Yu. Graf","doi":"10.3103/s1066369x24700087","DOIUrl":"https://doi.org/10.3103/s1066369x24700087","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This study defines and describes the properties of the class of diffeomorphisms of the unit disk <span>(mathbb{D} = { z,:;|{kern 1pt} z{kern 1pt} |; &lt; 1} )</span> on the complex plane <span>(mathbb{C})</span> for which the harmonic measure of the boundary arcs of the slit disk has a limited distortion (i.e., is quasi-invariant). Estimates for derivative mappings of this class are obtained. We prove that such mappings are quasiconformal and quasi-isometries with respect to the pseudohyperbolic metric. An example of a mapping with the specified property is given. As an application, a generalization of the Hayman–Wu theorem to this class of such mappings is proved.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"26 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141259724","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
Theorems on Direct and Inverse Approximation by Algebraic Polynomials and Piecewise Polynomials in the Spaces $${{H}^{m}}(a,b)$$ and $$B_{{2,q}}^{s}(a,b)$$ 关于在空间 $${{H}^{m}}(a,b)$$ 和 $$B_{2,q}}^{s}(a,b)$$ 中用代数多项式和分段多项式直接逼近和反逼近的定理
IF 0.4
Russian Mathematics Pub Date : 2024-05-09 DOI: 10.3103/s1066369x24700026
R. Z. Dautov
{"title":"Theorems on Direct and Inverse Approximation by Algebraic Polynomials and Piecewise Polynomials in the Spaces $${{H}^{m}}(a,b)$$ and $$B_{{2,q}}^{s}(a,b)$$","authors":"R. Z. Dautov","doi":"10.3103/s1066369x24700026","DOIUrl":"https://doi.org/10.3103/s1066369x24700026","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The best estimates for the approximation error of functions, defined on a finite interval, by algebraic polynomials and piecewise polynomial functions are obtained in the case when the errors are measured in the norms of Sobolev and Besov spaces. We indicate the weighted Besov spaces, whose functions satisfy Jackson-type and Bernstein-type inequalities and, as a consequence, direct and inverse approximation theorems. In a number of cases, exact constants are indicated in the estimates.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"59 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140926926","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 Maximal Operators Associated with Singular Hypersurfaces 论与奇异超曲面相关的最大算子
IF 0.4
Russian Mathematics Pub Date : 2024-05-09 DOI: 10.3103/s1066369x24700051
S. E. Usmanov
{"title":"On Maximal Operators Associated with Singular Hypersurfaces","authors":"S. E. Usmanov","doi":"10.3103/s1066369x24700051","DOIUrl":"https://doi.org/10.3103/s1066369x24700051","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Maximal operators associated with singular hypersurfaces in multidimensional Euclidean spaces are considered. These operators have been proven to be bounded, and an exponent of boundedness in the space of integrable functions has been found for the case when hypersurfaces are given by parametric equations.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"126 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140926925","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
An Estimate for the Sum of a Dirichlet Series on an Arc of Bounded Slope 有界斜率弧线上狄利克特数列之和的估计值
IF 0.4
Russian Mathematics Pub Date : 2024-05-09 DOI: 10.3103/s1066369x24700014
T. I. Belous, A. M. Gaisin, R. A. Gaisin
{"title":"An Estimate for the Sum of a Dirichlet Series on an Arc of Bounded Slope","authors":"T. I. Belous, A. M. Gaisin, R. A. Gaisin","doi":"10.3103/s1066369x24700014","DOIUrl":"https://doi.org/10.3103/s1066369x24700014","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The article considers the behavior of the sum of the Dirichlet series <span>(F(s) = sumlimits_n {kern 1pt} {{a}_{n}}{{e}^{{{{lambda }_{n}}s}}},)</span> <span>(0 &lt; {{lambda }_{n}} uparrow infty ,)</span> which converges absolutely in the left half-plane <span>({{Pi }_{0}})</span>, on a curve arbitrarily approaching the imaginary axis—the boundary of this half-plane. We have obtained a solution to the following problem: under what additional conditions on <span>(gamma )</span> will the strengthened asymptotic relation the type of Pólya for the sum <i>F</i>(<i>s</i>) of the Dirichlet series be valid in the case when the argument <span>(s)</span> tends to the imaginary axis along <span>(gamma )</span> over a sufficiently massive set.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"22 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140926908","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
Asymptotic Behavior of Solutions of the Inhomogeneous Schrödinger Equation on Noncompact Riemannian Manifolds 非紧密黎曼曼体上非均质薛定谔方程解的渐近行为
IF 0.4
Russian Mathematics Pub Date : 2024-05-09 DOI: 10.3103/s1066369x24700038
E. A. Mazepa, D. K. Ryaboshlykova
{"title":"Asymptotic Behavior of Solutions of the Inhomogeneous Schrödinger Equation on Noncompact Riemannian Manifolds","authors":"E. A. Mazepa, D. K. Ryaboshlykova","doi":"10.3103/s1066369x24700038","DOIUrl":"https://doi.org/10.3103/s1066369x24700038","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The paper studies the behavior of bounded solutions of the inhomogeneous Schrödinger equation on noncompact Riemannian manifolds under a variation of the right side of the equation. Various problems for homogeneous elliptic equations, in particular, the Laplace–Beltrami equation and the stationary Schrödinger equation, have been considered by a number of Russian and foreign authors since the second half of the 20th century. In the first part of this paper, an approach to the formulation of boundary value problems based on the introduction of classes of equivalent functions will be developed. The relationship between the solvability of boundary value problems on an arbitrary noncompact Riemannian manifold with variation of inhomogeneity is also established. In the second part of the work, based on the results of the first part, properties of solutions of the inhomogeneous Schrödinger equation on quasi-model manifolds are investigated, and exact conditions for unique solvability of the Dirichlet problem and some other boundary value problems on these manifolds are found.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"28 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140926927","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 Triangulation of the Plane by Pencils of Conics III 论用圆锥曲线的铅笔对平面进行三角测量 III
IF 0.4
Russian Mathematics Pub Date : 2024-05-09 DOI: 10.3103/s1066369x24700063
A. M. Shelekhov
{"title":"On Triangulation of the Plane by Pencils of Conics III","authors":"A. M. Shelekhov","doi":"10.3103/s1066369x24700063","DOIUrl":"https://doi.org/10.3103/s1066369x24700063","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>We present a solution of the Blaschke problem much simpler than in [1]: find all regular curvilinear three-webs formed by the pencils of circles.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"64 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140926852","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 Problem of Solvability of Nonlinear Boundary Value Problems for Shallow Isotropic Shells of Timoshenko Type in Isometric Coordinates 关于等距坐标下各向同性浅壳的非线性边界问题的可解性问题
IF 0.4
Russian Mathematics Pub Date : 2024-05-09 DOI: 10.3103/s1066369x2470004x
S. N. Timergaliev
{"title":"On the Problem of Solvability of Nonlinear Boundary Value Problems for Shallow Isotropic Shells of Timoshenko Type in Isometric Coordinates","authors":"S. N. Timergaliev","doi":"10.3103/s1066369x2470004x","DOIUrl":"https://doi.org/10.3103/s1066369x2470004x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The solvability of a boundary value problem for a system of five nonlinear second-order partial differential equations under given nonlinear boundary conditions, which describes the equilibrium state of elastic flat inhomogeneous isotropic shells with loose edges in the framework of the Timoshenko shear model, referred to isometric coordinates, is studied. The boundary value problem is reduced to a nonlinear operator equation with respect to generalized displacements in a Sobolev space, with the solvability of this equation being established using the contraction mapping principle.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"32 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140926909","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
Main Properties of the Faddeev Equation for 2 × 2 Operator Matrices 2 × 2 算子矩阵的法德夫方程的主要性质
IF 0.4
Russian Mathematics Pub Date : 2024-02-28 DOI: 10.3103/s1066369x2312006x
T. H. Rasulov, E. B. Dilmurodov
{"title":"Main Properties of the Faddeev Equation for 2 × 2 Operator Matrices","authors":"T. H. Rasulov, E. B. Dilmurodov","doi":"10.3103/s1066369x2312006x","DOIUrl":"https://doi.org/10.3103/s1066369x2312006x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper we consider a <span>(2 times 2)</span> operator matrix <span>(H)</span>. We construct an analog of the well-known Faddeev equation for the eigenvectors of <span>(H)</span> and study some important properties of this equation, related with the number of eigenvalues. In particular, the Birman–Schwinger principle for <span>(H)</span> is proven.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"82 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140003650","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
Generalized Integration over Nonrectifiable Flat Curves and Boundary Value Problems 不可修正平曲线上的广义积分和边界值问题
IF 0.4
Russian Mathematics Pub Date : 2024-02-28 DOI: 10.3103/s1066369x23120046
D. B. Katz
{"title":"Generalized Integration over Nonrectifiable Flat Curves and Boundary Value Problems","authors":"D. B. Katz","doi":"10.3103/s1066369x23120046","DOIUrl":"https://doi.org/10.3103/s1066369x23120046","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Two closely related problems are discussed, viz., solving the Riemann boundary value problem for analytic functions and some of their generalizations in the domains of the complex plane with nonrectifiable boundaries and constructing a generalization of the curvilinear integral onto nonrectifiable curves that preserves the properties important for the complex analysis. This review reflects the current state of the topic, with many of the results being quite recent. At the end of the work, a number of unsolved problems are given, each of which can serve as a starting point for scientific research.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"7 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140003288","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信