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Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»最新文献

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On realization and isomorphism problems for formal matrix rings 形式矩阵环的实现与同构问题
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 2022-11-05 DOI: 10.36535/0233-6723-2022-219-39-43
P. Krylov, A. Tuganbaev
{"title":"On realization and isomorphism problems for formal matrix rings","authors":"P. Krylov, A. Tuganbaev","doi":"10.36535/0233-6723-2022-219-39-43","DOIUrl":"https://doi.org/10.36535/0233-6723-2022-219-39-43","url":null,"abstract":"We consider realization and isomorphism problems for formal matrix rings over a given ring. Principal multiplier matrices of such rings play an important role in this case. The work of A.A.Tuganbaev is supported by Russian Scientific Foundation, project 22-11-00052.","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123587377","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
Singular points of the integral representation of the Mittag-Leffler function Mittag-Leffler函数积分表示的奇异点
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 2020-04-17 DOI: 10.36535/0233-6723-2021-195-97-107
V. Saenko
{"title":"Singular points of the integral representation of the Mittag-Leffler function","authors":"V. Saenko","doi":"10.36535/0233-6723-2021-195-97-107","DOIUrl":"https://doi.org/10.36535/0233-6723-2021-195-97-107","url":null,"abstract":"The paper presents an integral representation of the two-parameter Mittag-Leffler function $E_{rho,mu}(z)$ and singular points of this representation have been studied. It has been found that there are two singular points for this integral representation: $zeta=1$ and $zeta=0$. The point $zeta=1$ is a pole of the first order and the point $zeta=0$, depending on the values of parameters $rho,mu$ is either a pole or a branch point, or a regular point. The subsequent study showed that at some values of parameters $rho,mu$ with the help of the residue theory one can calculate the integral included in the studied integral representation and express the function $E_{rho,mu}(z)$ through elementary functions.","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123704402","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: 2
Polynomial automorphisms, quantization, and Jacobian conjecture related problems. I. Introduction 多项式自同构、量化、雅可比猜想相关问题。我的介绍。
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 2019-12-08 DOI: 10.36535/0233-6723-2022-213-110-144
Andrei Mikhailovich Elishev, Aleksei Yakovlevich Belov, Farrokh Razavinia, Y. Jie-Tai, Wenchao Zhang
{"title":"Polynomial automorphisms, quantization, and Jacobian conjecture related problems. I. Introduction","authors":"Andrei Mikhailovich Elishev, Aleksei Yakovlevich Belov, Farrokh Razavinia, Y. Jie-Tai, Wenchao Zhang","doi":"10.36535/0233-6723-2022-213-110-144","DOIUrl":"https://doi.org/10.36535/0233-6723-2022-213-110-144","url":null,"abstract":"The purpose of this review paper is the collection, systematization and discussion of recent results concerning the quantization approach to the Jacobian conjecture, as well as certain related topics.","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128448249","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: 1
On the averaging principle for semilinear fractional differential inclusions in a Banach space with a deviating argument and a small parameter 带偏差参数的Banach空间中半线性分数阶微分内含的平均原理
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 1900-01-01 DOI: 10.36535/0233-6723-2022-204-74-84
Mikhail Igorevich Kamenskii, G. Petrosyan
{"title":"On the averaging principle for semilinear fractional differential inclusions in a Banach space with a deviating argument and a small parameter","authors":"Mikhail Igorevich Kamenskii, G. Petrosyan","doi":"10.36535/0233-6723-2022-204-74-84","DOIUrl":"https://doi.org/10.36535/0233-6723-2022-204-74-84","url":null,"abstract":"","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"153 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124279115","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: 1
Hyperbolicity of a class of first-order quasilinear covariant equations of divergent type 一类一阶发散型拟线性协变方程的双曲性
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 1900-01-01 DOI: 10.36535/0233-6723-2022-207-16-26
Y. Virchenko, A.E. Novoseltseva
{"title":"Hyperbolicity of a class of first-order quasilinear covariant equations of divergent type","authors":"Y. Virchenko, A.E. Novoseltseva","doi":"10.36535/0233-6723-2022-207-16-26","DOIUrl":"https://doi.org/10.36535/0233-6723-2022-207-16-26","url":null,"abstract":"","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"55 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120904490","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
Weak continuity of skew-Hermitian operators in Banach ideals Banach理想中斜厄米算子的弱连续性
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 1900-01-01 DOI: 10.36535/0233-6723-2021-197-3-11
Bekhzod Rasulovich Aminov, V. Chilin
{"title":"Weak continuity of skew-Hermitian operators in Banach ideals","authors":"Bekhzod Rasulovich Aminov, V. Chilin","doi":"10.36535/0233-6723-2021-197-3-11","DOIUrl":"https://doi.org/10.36535/0233-6723-2021-197-3-11","url":null,"abstract":"","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127333587","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
Integrable homogeneous dynamical systems with dissipation on the tangent bundles of four-dimensional manifolds. I. Equations of geodesic lines 四维流形切线束上耗散的可积齐次动力系统。1、测地线方程
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 1900-01-01 DOI: 10.36535/0233-6723-2022-210-77-95
Maxim V. Shamolin
{"title":"Integrable homogeneous dynamical systems with dissipation on the tangent bundles of four-dimensional manifolds. I. Equations of geodesic lines","authors":"Maxim V. Shamolin","doi":"10.36535/0233-6723-2022-210-77-95","DOIUrl":"https://doi.org/10.36535/0233-6723-2022-210-77-95","url":null,"abstract":"","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127488041","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
Mixed problem for an integro-differential equation with a multidimensional pseudoparabolic operator and nonlinear deviation 具有多维伪抛物算子和非线性偏差的积分-微分方程的混合问题
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 1900-01-01 DOI: 10.36535/0233-6723-2021-201-33-43
T. Yuldashev, F. D. Rakhmonov
{"title":"Mixed problem for an integro-differential equation with a multidimensional pseudoparabolic operator and nonlinear deviation","authors":"T. Yuldashev, F. D. Rakhmonov","doi":"10.36535/0233-6723-2021-201-33-43","DOIUrl":"https://doi.org/10.36535/0233-6723-2021-201-33-43","url":null,"abstract":"","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"465 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123772275","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
Spectral properties of one infinite tridiagonal matrix 无穷三对角矩阵的谱性质
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 1900-01-01 DOI: 10.36535/0233-6723-2021-199-31-42
G. Garkavenko, N. Uskova
{"title":"Spectral properties of one infinite tridiagonal matrix","authors":"G. Garkavenko, N. Uskova","doi":"10.36535/0233-6723-2021-199-31-42","DOIUrl":"https://doi.org/10.36535/0233-6723-2021-199-31-42","url":null,"abstract":"","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116102464","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 problem of restoring the high-frequency right-hand side of the telegraph equation 恢复电报方程高频右侧的渐近问题
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» Pub Date : 1900-01-01 DOI: 10.36535/0233-6723-2022-208-29-36
E. V. Korablina, V. B. Levenshtam
{"title":"Asymptotic problem of restoring the high-frequency right-hand side of the telegraph equation","authors":"E. V. Korablina, V. B. Levenshtam","doi":"10.36535/0233-6723-2022-208-29-36","DOIUrl":"https://doi.org/10.36535/0233-6723-2022-208-29-36","url":null,"abstract":"","PeriodicalId":375374,"journal":{"name":"Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры»","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122988968","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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