Proceedings of the Steklov Institute of Mathematics最新文献_第9页

Exact Solutions of Second-Grade Fluid Equations 二级流体方程的精确解

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-20 DOI: 10.1134/s0081543823040156

A. G. Petrova, V. V. Pukhnachev, O. A. Frolovskaya

引用次数: 0

On Linear Equations of Dynamics 论动力学线性方程

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-20 DOI: 10.1134/s0081543823040119

V. V. Kozlov

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On Isochronicity 关于等时性

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-20 DOI: 10.1134/s008154382304017x

D. V. Treschev

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Nonuniqueness of a Self-similar Solution to the Riemann Problem for Elastic Waves in Media with a Negative Nonlinearity Parameter 负非线性参数介质中弹性波的黎曼问题自相似解的非唯一性

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-20 DOI: 10.1134/s008154382304020x

A. P. Chugainova, R. R. Polekhina

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Internal Stresses in an Elastic Half-space under Discrete Contact Conditions 离散接触条件下弹性半空间的内应力

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-20 DOI: 10.1134/s0081543823040089

I. G. Goryacheva, A. A. Yakovenko

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On the Kegel–Wielandt $$sigma$$ -Problem 关于凯格尔-维兰德的$sigma$$问题

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s0081543823060093

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Sobolev and Besov Classes on Infinite-Dimensional Spaces 无穷维空间上的索波列夫和贝索夫类

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s0081543823050048

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Adaptive Subgradient Methods for Mathematical Programming Problems with Quasiconvex Functions 准凸函数数学程序设计问题的自适应子梯度方法

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s0081543823060019

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The Structure of the Essential Spectrum and the Discrete Spectrum of the Energy Operator for Six-Electron Systems in the Hubbard Model. The Second Singlet State 哈伯德模型中六电子系统的基本谱结构和能量算子的离散谱。第二单子态

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s0081543823060226

{"title":"The Structure of the Essential Spectrum and the Discrete Spectrum of the Energy Operator for Six-Electron Systems in the Hubbard Model. The Second Singlet State","authors":"","doi":"10.1134/s0081543823060226","DOIUrl":"https://doi.org/10.1134/s0081543823060226","url":null,"abstract":"<h3>Abstract</h3> We consider the energy operator of six-electron systems in the Hubbard model and study the structure of the essential spectrum and the discrete spectrum of the system for the second singlet state of the system. In the one- and two-dimensional cases, it is shown that the essential spectrum of the six-electron second singlet state operator is the union of seven closed intervals, and the discrete spectrum of the system consists of a single eigenvalue lying below (above) the domain of the lower (upper, respectively) edge of the essential spectrum of this operator. In the three-dimensional case, there are the following situations for the essential and discrete spectra of the six-electron second singlet state operator: (a) the essential spectrum is the union of seven closed intervals, and the discrete spectrum consists of a single eigenvalue; (b) the essential spectrum is the union of four closed intervals, and the discrete spectrum is empty; (c) the essential spectrum is the union of two closed intervals, and the discrete spectrum is empty; (d) the essential spectrum is a closed interval, and the discrete spectrum is empty. Conditions are found under which each of the situations takes place. ","PeriodicalId":54557,"journal":{"name":"Proceedings of the Steklov Institute of Mathematics","volume":"22 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139757577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On Graphs in Which the Neighborhoods of Vertices Are Edge-Regular Graphs without 3-Claws 论顶点邻域为无三爪边缘规则图的图

IF 0.5 4区数学

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s0081543823060044

{"title":"On Graphs in Which the Neighborhoods of Vertices Are Edge-Regular Graphs without 3-Claws","authors":"","doi":"10.1134/s0081543823060044","DOIUrl":"https://doi.org/10.1134/s0081543823060044","url":null,"abstract":"<h3>Abstract</h3> The triangle-free Krein graph Kre ((r)) is strongly regular with parameters (((r^{2}+3r)^{2},) (r^{3}+3r^{2}+r,0,r^{2}+r)) . The existence of such graphs is known only for (r=1) (the complement of the Clebsch graph) and (r=2) (the Higman–Sims graph). A.L. Gavrilyuk and A.A. Makhnev proved that the graph Kre ((3)) does not exist. Later Makhnev proved that the graph Kre ((4)) does not exist. The graph Kre ((r)) is the only strongly regular triangle-free graph in which the antineighborhood of a vertex Kre ((r)^{prime}) is strongly regular. The graph Kre ((r)^{prime}) has parameters (((r^{2}+2r-1)(r^{2}+3r+1),r^{3}+2r^{2},0,r^{2})) . This work clarifies Makhnev’s result on graphs in which the neighborhoods of vertices are strongly regular graphs without (3) -cocliques. As a consequence, it is proved that the graph Kre ((r)) exists if and only if the graph Kre ((r)^{prime}) exists and is the complement of the block graph of a quasi-symmetric (2) -design. ","PeriodicalId":54557,"journal":{"name":"Proceedings of the Steklov Institute of Mathematics","volume":"13 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139757431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0