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Siberian Advances in Mathematics最新文献

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Rayleigh–Ritz Operator in Inverse Problems for Higher Order Multilinear Nonautonomous Evolution Equations 高阶多线性非自治演化方程逆问题中的雷利-里兹算子
Siberian Advances in Mathematics Pub Date : 2023-12-14 DOI: 10.1134/s1055134423040053
A. V. Lakeyev, Yu. E. Linke, V. A. Rusanov
{"title":"Rayleigh–Ritz Operator in Inverse Problems for Higher Order Multilinear Nonautonomous Evolution Equations","authors":"A. V. Lakeyev, Yu. E. Linke, V. A. Rusanov","doi":"10.1134/s1055134423040053","DOIUrl":"https://doi.org/10.1134/s1055134423040053","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study solvability questions for the problem on realization of operator functions for\u0000an invariant polylinear regulator of a higher-order differential system in an infinite-dimensional\u0000separable Hilbert space. This is a nonstationary coefficient-operator inverse problem for\u0000multilinear evolution equations whose dynamic order is higher than one (notice that\u0000nonautomonous hyperbolic systems belong to this class of problems). We analyze semiadditivity\u0000and continuity for a nonlinear Rayleigh–Ritz functional operator and obtain an analytic model of\u0000an invariant polylinear regulator. This model allows us to combine two bundles of trajectory\u0000curves induced by different invariant polylinear regulators in a differential system and obtain\u0000a family of admissible solutions of the initial differential system in terms of an invariant polylinear\u0000action. The obtained results can be applied in the general qualitative theory of nonlinear\u0000infinite-dimensional adaptive control systems described by higher-order multilinear\u0000nonautonomous differential systems (including neuromodelling).\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138628363","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
Reconstruction of Parameters of a Set of Radiant Points from Their Images 从辐射点图像重建辐射点集合参数
Siberian Advances in Mathematics Pub Date : 2023-12-14 DOI: 10.1134/s1055134423040028
E. Yu. Derevtsov
{"title":"Reconstruction of Parameters of a Set of Radiant Points from Their Images","authors":"E. Yu. Derevtsov","doi":"10.1134/s1055134423040028","DOIUrl":"https://doi.org/10.1134/s1055134423040028","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> Within the framework of geometric tomography, inverse problems of photometry, wave\u0000optics, and discrete tomography, we study questions on reconstruction of the spatial location and\u0000luminosity of a discrete distribution of radiant sources from its images obtained with the use of\u0000a small number of optical systems. We analyze the problem on finding geometric parameters of\u0000such a distribution and describe sources of ambiguity. We consider the inverse problem on\u0000reconstruction of a discrete distribution that consists of incoherent and monochromatic sources\u0000and suggest uniqueness criteria for its solution. We also suggest a constructive approach to\u0000numerical solution of the inverse problem on reconstruction of the coordinates and luminosity of\u0000a family of radiant pinpoint sources from their images.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138628524","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
Sharply Transitive Representations of the Algebra $$sl_3(mathbb{R})$$ 代数$$sl_3(mathbb{R})$$的锐传递表示
Siberian Advances in Mathematics Pub Date : 2023-12-14 DOI: 10.1134/s1055134423040077
M. V. Neshchadim, A. A. Simonov
{"title":"Sharply Transitive Representations of the Algebra $$sl_3(mathbb{R})$$","authors":"M. V. Neshchadim, A. A. Simonov","doi":"10.1134/s1055134423040077","DOIUrl":"https://doi.org/10.1134/s1055134423040077","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider local sharply transitive representations of the algebra <span>(sl_3(mathbb {R}) )</span> in the space of local vector fields with analytic\u0000coefficients in <span>( mathbb {R}^{8})</span> that are defined in\u0000a neighborhood of the origin. We find a system of differential equations that describes such\u0000representations.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"55 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138628520","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
Estimates of Solutions in a Model of Antiviral Immune Response 抗病毒免疫反应模型中的解决方案估算
Siberian Advances in Mathematics Pub Date : 2023-12-14 DOI: 10.1134/s1055134423040089
M. A. Skvortsova
{"title":"Estimates of Solutions in a Model of Antiviral Immune Response","authors":"M. A. Skvortsova","doi":"10.1134/s1055134423040089","DOIUrl":"https://doi.org/10.1134/s1055134423040089","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider a model of antiviral immune response suggested by G.I. Marchuk. The model\u0000is described by a system of differential equations with several delays. We study asymptotic\u0000stability for a stationary solution of the system that corresponds to a completely healthy\u0000organism. We estimate the attraction set of this stationary solution. We also find estimates of\u0000solutions characterizing the stabilization rate at infinity. A Lyapunov–Krasovskiĭ\u0000functional is used in the proof.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"148 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885590","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
Negative Numberings in Admissible Sets. I 可容许集合中的负数。I
Siberian Advances in Mathematics Pub Date : 2023-12-14 DOI: 10.1134/s105513442304003x
I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faĭzrakhmanov
{"title":"Negative Numberings in Admissible Sets. I","authors":"I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faĭzrakhmanov","doi":"10.1134/s105513442304003x","DOIUrl":"https://doi.org/10.1134/s105513442304003x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We construct an admissible set <span>(mathbb {A})</span> such that\u0000the family of all <span>( mathbb {A})</span>-computably enumerable sets possesses\u0000a negative computable <span>(mathbb {A})</span>\u0000-numbering but lacks positive computable <span>(mathbb {A})</span>\u0000-numberings. We also discuss the question on existence of minimal negative <span>(mathbb {A} )</span>-numberings.\u0000</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"176 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138628532","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
Optimal Recovery of a Function Holomorphic in a Polydisc from Its Approximate Values on a Part of the Skeleton 从骨架部分上的近似值优化恢复多圆盘中的全形函数
Siberian Advances in Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s1055134423040016
R. R. Akopyan
{"title":"Optimal Recovery of a Function Holomorphic in a Polydisc from Its Approximate Values on a Part of the Skeleton","authors":"R. R. Akopyan","doi":"10.1134/s1055134423040016","DOIUrl":"https://doi.org/10.1134/s1055134423040016","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"356 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139021879","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 Extension of a Theorem of Neumann Neumann定理的一个推广
Siberian Advances in Mathematics Pub Date : 2023-08-01 DOI: 10.1134/S1055134423030045
V. Durnev, A. Zetkina
{"title":"An Extension of a Theorem of Neumann","authors":"V. Durnev, A. Zetkina","doi":"10.1134/S1055134423030045","DOIUrl":"https://doi.org/10.1134/S1055134423030045","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"33 1","pages":"200 - 203"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43605682","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
Stability of Solutions of Delay Differential Equations 时滞微分方程解的稳定性
Siberian Advances in Mathematics Pub Date : 2023-08-01 DOI: 10.1134/S1055134423030094
T. Yskak
{"title":"Stability of Solutions of Delay Differential Equations","authors":"T. Yskak","doi":"10.1134/S1055134423030094","DOIUrl":"https://doi.org/10.1134/S1055134423030094","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"33 1","pages":"253 - 260"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47329762","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 Location of the Matrix Spectrum with Respect to a Parabola 关于矩阵谱相对于抛物线的定位
Siberian Advances in Mathematics Pub Date : 2023-08-01 DOI: 10.1134/S1055134423030033
G. Demidenko, V. Prokhorov
{"title":"On Location of the Matrix Spectrum with Respect to a Parabola","authors":"G. Demidenko, V. Prokhorov","doi":"10.1134/S1055134423030033","DOIUrl":"https://doi.org/10.1134/S1055134423030033","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"33 1","pages":"190 - 199"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48099318","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 a Boundary Value Problem for a Pseudohyperbolic Equation 关于一类伪双曲型方程的边值问题
Siberian Advances in Mathematics Pub Date : 2023-08-01 DOI: 10.1134/S1055134423030082
V. Shemetova
{"title":"On a Boundary Value Problem for a Pseudohyperbolic Equation","authors":"V. Shemetova","doi":"10.1134/S1055134423030082","DOIUrl":"https://doi.org/10.1134/S1055134423030082","url":null,"abstract":"","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"33 1","pages":"242 - 252"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43591315","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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