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Journal of Siberian Federal University-Mathematics & Physics最新文献

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On Transcendental Systems of Equations 关于超越方程组
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-326-343
A. Kytmanov, Olga V. Khodos
{"title":"On Transcendental Systems of Equations","authors":"A. Kytmanov, Olga V. Khodos","doi":"10.17516/1997-1397-2021-14-3-326-343","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-326-343","url":null,"abstract":"Several types of transcendental systems of equations are considered: the simplest ones, special, and general. Since the number of roots of such systems, as a rule, is infinite, it is necessary to study power sums of the roots of negative degree. Formulas for finding residue integrals, their relation to power sums of a negative degree of roots and their relation to residue integrals (multidimensional analogs of Waring’s formulas) are obtained. Various examples of transcendental systems of equations and calculation of multidimensional numerical series are given","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"50 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85054127","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
Removable Singularities of Separately Harmonic Functions 单独调和函数的可移动奇异性
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-369-375
S. Imomkulov, Sultanbay M. Abdikadirov
{"title":"Removable Singularities of Separately Harmonic Functions","authors":"S. Imomkulov, Sultanbay M. Abdikadirov","doi":"10.17516/1997-1397-2021-14-3-369-375","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-369-375","url":null,"abstract":"Removable singularities of separately harmonic functions are considered. More precisely, we prove harmonic continuation property of a separately harmonic function u(x, y) in D S to the domain D, when D ⊂ Rn(x) × Rm(y), n,m > 1 and S is a closed subset of the domain D with nowhere dense projections S1 = {x ∈ Rn : (x, y) ∈ S} and S2 = {y ∈ Rm : (x, y) ∈ S}.","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"13 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80422033","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 3-transitive Groups with Finite Element 具有有限元的锐3-传递群
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-344-350
E. B. Durakov
{"title":"Sharply 3-transitive Groups with Finite Element","authors":"E. B. Durakov","doi":"10.17516/1997-1397-2021-14-3-344-350","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-344-350","url":null,"abstract":"In this paper we study sharply 3-transitive groups. The local finiteness of sharply triply transitive permutation groups of characteristic p > 3 containing a finite element of order p is proved. Keywords: group, sharply k-transitive group, sharply 3-transitive group, locally finite group, neardomain, near-field","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"112 35","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72376819","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
The Time-fractional Airy Equation on the Metric Graph 度量图上的时间分数Airy方程
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-376-388
Rakhimov Kamoladdin, Sobirov Zarifboy, Jabborov Nasridin
{"title":"The Time-fractional Airy Equation on the Metric Graph","authors":"Rakhimov Kamoladdin, Sobirov Zarifboy, Jabborov Nasridin","doi":"10.17516/1997-1397-2021-14-3-376-388","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-376-388","url":null,"abstract":"Initial boundary value problem for the time-fractional Airy equation on a graph with finite bonds is considered in the paper. Properties of potentials for this equation are studied. Using these properties the solutions of the considered problem were found. The uniqueness theorem is proved using the analogue of Gr¨onwall-Bellman inequality and a-priory estimate","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"24 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83299509","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
Estimating the Mean of Heavy-tailed Distribution under Random Truncation 随机截断下重尾分布均值的估计
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-273-286
Khanssa Ben Dahmane, F. Benatia, B. Brahimi
{"title":"Estimating the Mean of Heavy-tailed Distribution under Random Truncation","authors":"Khanssa Ben Dahmane, F. Benatia, B. Brahimi","doi":"10.17516/1997-1397-2021-14-3-273-286","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-273-286","url":null,"abstract":"Inspired by L.Peng’s work on estimating the mean of heavy-tailed distribution in the case of completed data. we propose an alternative estimator and study its asymptotic normality when it comes to the right truncated random variable. A simulation study is executed to evaluate the finite sample behavior on the proposed estimator","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"37 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81942692","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
Delta-extremal Functions in Cn Cn中的极值函数
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-389-398
Nurbek Narzillaev
{"title":"Delta-extremal Functions in Cn","authors":"Nurbek Narzillaev","doi":"10.17516/1997-1397-2021-14-3-389-398","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-389-398","url":null,"abstract":"The article is devoted to properties of a weighted Green function. We study the (δ, ψ)- extremal Green function V ∗ δ (z,K, ψ) defined by the class Lδ = { u(z) ∈ psh(Cn) : u(z) 6 Cu + δ ln+ |z|, z ∈ Cn} , δ > 0. We see that the notion of regularity of points with respect to different numbers δ differ from each other. Nevertheless, we prove that if a compact set K ⊂ Cn is regular, then δ-extremal function is continuous in the whole space Cn","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"182 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90767286","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
Limits of Risks Ratios of Shrinkage Estimators under the Balanced Loss Function 平衡损失函数下收缩估计器的风险比极限
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-301-312
Terbeche Mekki, Benkhaled Abdelkader, Hamdaoui Abdenour
{"title":"Limits of Risks Ratios of Shrinkage Estimators under the Balanced Loss Function","authors":"Terbeche Mekki, Benkhaled Abdelkader, Hamdaoui Abdenour","doi":"10.17516/1997-1397-2021-14-3-301-312","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-301-312","url":null,"abstract":"In this paper we study the estimation of a multivariate normal mean under the balanced loss function. We present here a class of shrinkage estimators which generalizes the James-Stein estimator and we are interested to establish the asymptotic behaviour of risks ratios of these estimators to the maximum likelihood estimators (MLE). Thus, in the case where the dimension of the parameter space and the sample size are large, we determine the sufficient conditions for that the estimators cited previously are minimax","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"19 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73413367","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
Rheological Properties of PVDF Solutions PVDF溶液的流变性能
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-265-272
B. D. Bair, A. Victoria, V. Andrey, I. P. Maxim
{"title":"Rheological Properties of PVDF Solutions","authors":"B. D. Bair, A. Victoria, V. Andrey, I. P. Maxim","doi":"10.17516/1997-1397-2021-14-3-265-272","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-265-272","url":null,"abstract":"The rheological properties of polyvinylidene fluoride (PVDF) solutions in Nmethylpyrrolidone were studied using the rheometric method. It was shown that the viscosity of polymer solutions decreases non-linearly with increasing temperature. The viscosity of the N-methylpyrrolidone used as solvent remains practically unchanged. It was shown that solutions exhibit Newtonian behaviour at concentrations less than 7 wt.%. At higher concentrations, solutions exhibit properties of pseudoplastic fluid","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"14 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88007852","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
Effective Acoustic Equations for a Layered Material Described by the Fractional Kelvin-Voigt Model 分数阶Kelvin-Voigt模型描述的层状材料的有效声学方程
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-351-359
A. Shamaev, V. V. Shumilova
{"title":"Effective Acoustic Equations for a Layered Material Described by the Fractional Kelvin-Voigt Model","authors":"A. Shamaev, V. V. Shumilova","doi":"10.17516/1997-1397-2021-14-3-351-359","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-351-359","url":null,"abstract":"The paper is devoted to the construction of effective acoustic equations for a two-phase layered viscoelastic material described by the Kelvin–Voigt model with fractional time derivatives. For this purpose, the theory of two-scale convergence and the Laplace transform with respect to time are used. It is shown that the effective equations are partial integro-differential equations with fractional time derivatives and fractional exponential convolution kernels. In order to find the coefficients and the convolution kernels of these equations, several auxiliary cell problems are formulated and solved","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"18 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88393473","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: 3
Integral Representation and the Computation of Multiple Combinatorial Sums from Hall’s Commutator Theory 从霍尔对易子理论看多重组合和的积分表示和计算
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-02-01 DOI: 10.17516/1997-1397-2021-14-1-12-20
G. Egorychev, S. Kolesnikov, V. Leontiev
{"title":"Integral Representation and the Computation of Multiple Combinatorial Sums from Hall’s Commutator Theory","authors":"G. Egorychev, S. Kolesnikov, V. Leontiev","doi":"10.17516/1997-1397-2021-14-1-12-20","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-1-12-20","url":null,"abstract":"In this paper we prove a series of combinatorial identities arising from computing the exponents of the commutators in P. Hall’s collection formula. We also compute a sum in closed form that arises from using the collection formula in Chevalley groups for solving B. A. F. Wehrfritz problem on the regularity of their Sylow subgroups","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"26 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77360502","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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