Pub Date : 2022-11-05DOI: 10.36535/0233-6723-2022-219-39-43
P. Krylov, A. Tuganbaev
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.
{"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}
Pub Date : 2020-04-17DOI: 10.36535/0233-6723-2021-195-97-107
V. Saenko
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.
{"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}
Pub Date : 2019-12-08DOI: 10.36535/0233-6723-2022-213-110-144
Andrei Mikhailovich Elishev, Aleksei Yakovlevich Belov, Farrokh Razavinia, Y. Jie-Tai, Wenchao Zhang
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.
这篇综述的目的是收集、系统化和讨论最近关于雅可比猜想的量化方法的结果，以及一些相关的主题。
{"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}
Pub Date : 1900-01-01DOI: 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}
Pub Date : 1900-01-01DOI: 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}
Pub Date : 1900-01-01DOI: 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}
Pub Date : 1900-01-01DOI: 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}
Pub Date : 1900-01-01DOI: 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}
Pub Date : 1900-01-01DOI: 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}
Pub Date : 1900-01-01DOI: 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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：