{"title":"On Boundary Value Problems for Fractional-Order Differential Equations","authors":"M. Beshtokov, F. A. Erzhibova","doi":"10.1134/S1055134421040015","DOIUrl":"https://doi.org/10.1134/S1055134421040015","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47417376","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}
{"title":"On Decidable Categoricity for Almost Prime Models of the Signature of Graphs","authors":"M. Marchuk","doi":"10.1134/S1055134421040039","DOIUrl":"https://doi.org/10.1134/S1055134421040039","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48712376","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}
{"title":"On the Wigner Law for Generalizided Random Graphs","authors":"A. Tikhomirov","doi":"10.1134/S1055134421040040","DOIUrl":"https://doi.org/10.1134/S1055134421040040","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64035760","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}
{"title":"Finite Homogeneous Subspaces of Euclidean Spaces","authors":"V. Berestovskii, Yu. G. Nikonorov","doi":"10.1134/S1055134421030019","DOIUrl":"https://doi.org/10.1134/S1055134421030019","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42571672","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}
{"title":"The Large Deviation Principle for Finite-Dimensional Distributions of Multidimensional Renewal Processes","authors":"A. A. Mogul'skii, E. Prokopenko","doi":"10.1134/S1055134421030032","DOIUrl":"https://doi.org/10.1134/S1055134421030032","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42931343","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}
{"title":"The Block Structure of the Images of Regular Unipotent Elements from Subsystem Symplectic Subgroups of Rank $$2 $$ in Irreducible Representations of Symplectic Groups. III","authors":"T. S. Busel, I. D. Suprunenko","doi":"10.1134/s1055134421020024","DOIUrl":"https://doi.org/10.1134/s1055134421020024","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> This is the final part of the paper on the dimensions of Jordan blocks in the images of\u0000regular unipotent elements from subsystem subgroups of type <span>(C_2 )</span> in <span>(p)</span>-restricted irreducible\u0000representations of groups of type <span>(C_n)</span> in characteristic\u0000<span>(pgeq 11 )</span> with locally small highest weights. Here the case\u0000where <span>(n>3 )</span> and the restriction of a representation considered\u0000to a canonical subgroup of type <span>(A_1)</span> containing such\u0000element has a weight not less than <span>(p)</span>, is investigated.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138515859","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}
{"title":"High and Low Homogeneity","authors":"K. Zh. Kudaĭbergenov","doi":"10.1134/s1055134421010028","DOIUrl":"https://doi.org/10.1134/s1055134421010028","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We find conditions such that every <span>(lambda )</span>-homogeneous\u0000model with small <span>( lambda )</span> satisfying these conditions is\u0000homogeneous. As a corollary, we obtain conditions guaranteeing that the following implication\u0000holds: If <span>(T )</span> is a theory, <span>(mu >|T| )</span>, and every model of <span>(T )</span> of cardinality <span>( mu )</span> is <span>(omega _1)</span>\u0000-homogeneous then every model of <span>(T)</span> of sufficiently large\u0000cardinality is homogeneous.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138515834","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}
{"title":"Spectra for Generative Classes","authors":"S. V. Sudoplatov","doi":"10.1134/s1055134421010065","DOIUrl":"https://doi.org/10.1134/s1055134421010065","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study links between generative classes and their generative restrictions with respect to\u0000semantic and syntactic properties of corresponding generic structures. Generations and specificity\u0000of generative classes are investigated. Spectra for generative classes with respect to generic\u0000structures for subclasses and their theories are introduced. Values for these spectra are described\u0000for generative classes with complete diagrams and in general cases for finitely, countably and\u0000uncountably generated generative classes.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138515837","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}
{"title":"The Analytic Embedding of Geometries with Scalar Product","authors":"V. A. Kyrov","doi":"10.1134/s105513442101003x","DOIUrl":"https://doi.org/10.1134/s105513442101003x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We solve the problem of finding all <span>((n+2))</span>-dimensional\u0000geometries defined by a nondegenerate analytic function </p><span>$$ varphi (varepsilon _1x^1_Ax^1_B+ cdots +varepsilon\u0000_{n+1}x^{n+1}_Ax^{n+1}_B,w_A,w_B),$$</span><p> which is an\u0000invariant of a motion group of dimension <span>((n+1)(n+2)/2)</span>. As a\u0000result, we have two solutions: the expected scalar product <span>(varepsilon _1x^1_Ax^1_B+ cdots +varepsilon _{n+1}x^{n+1}_Ax^{n+1}_B+varepsilon w_Aw_B )</span> and the unexpected scalar product\u0000<span>(varepsilon _1x^1_Ax^1_B+ cdots +varepsilon _{n+1}x^{n+1}_Ax^{n+1}_B+w_A+w_B )</span>. The solution of the problem is reduced to the\u0000analytic solution of a functional equation of a special kind.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138515861","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}