发布求助
文献互助 智能选刊 最新文献

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

筛选
英文 中文
On Ground States for the SOS Model with Competing Interactions 具有竞争相互作用的SOS模型的基态
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-160-173
M. Rahmatullaev
{"title":"On Ground States for the SOS Model with Competing Interactions","authors":"M. Rahmatullaev","doi":"10.17516/1997-1397-2022-15-2-160-173","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-160-173","url":null,"abstract":"We study periodic and weakly periodic ground states for the SOS model with competing interactions on the Cayley tree of order two and three. Further, we study non periodic ground states for the SOS model with competing interactions on the Cayley tree of order two","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116159662","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
Inverse Scattering and Loaded Modified Korteweg-de Vries Equation 逆散射与加载修正Korteweg-de Vries方程
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-174-183
M. Feˇckan
{"title":"Inverse Scattering and Loaded Modified Korteweg-de Vries Equation","authors":"M. Feˇckan","doi":"10.17516/1997-1397-2022-15-2-174-183","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-174-183","url":null,"abstract":"The Cauchy problem for the loaded modified Korteweg-de Vries equation in the class of \"rapidly decreasing\" functions is considered in this paper. The main result of this work is a theorem on the evolution of the scattering data of the Dirac operator. Potential of the operator is the solution to the loaded modified Korteweg-de Vries equation. The obtained equalities allow one to apply the method of the inverse scattering transform to solve the Cauchy problem for the loaded modified Korteweg-de Vries equation","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125874795","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
Some Observations on Koide Formula 关于小出公式的一些观察
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-234-238
N. Fabiano
{"title":"Some Observations on Koide Formula","authors":"N. Fabiano","doi":"10.17516/1997-1397-2022-15-2-234-238","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-234-238","url":null,"abstract":"The Koide parameter for leptons and quarks is discussed. A probabilistic approach is used to verify if the results obtained in the various cases are purely coincident","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125300863","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 the Cauchy Problem for the Biharmonic Equation 双调和方程的Cauchy问题
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-199-213
D. Shodiev
{"title":"On the Cauchy Problem for the Biharmonic Equation","authors":"D. Shodiev","doi":"10.17516/1997-1397-2022-15-2-199-213","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-199-213","url":null,"abstract":"The work is devoted to the study of continuation and stability estimation of the solution of the Cauchy problem for the biharmonic equation in the domain G from its known values on the smooth part of the boundary @G. The problem under consideration belongs to the problems of mathematical physics in which there is no continuous dependence of solutions on the initial data. In this work, using the Carleman function, not only the biharmonic function itself, but also its derivatives are restored from the Cauchy data on a part of the boundary of the region. The stability estimates for the solution of the Cauchy problem in the classical sense are obtained","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117304575","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
A Note on Explicit Formulas for Bernoulli Polynomials 关于伯努利多项式显式公式的注记
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-224-233
Laala Khaldi
{"title":"A Note on Explicit Formulas for Bernoulli Polynomials","authors":"Laala Khaldi","doi":"10.17516/1997-1397-2022-15-2-224-233","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-224-233","url":null,"abstract":"For r 2 { 1; - 1; 1 2 } , we prove several explicit formulas for the n-th Bernoulli polynomial Bn (x), in which Bn (x) is equal to a linear combination of the polynomials xn, (x + r)n ; : : : ; (x + rm)n, where m is any fixed positive integer greater than or equal to n","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126064555","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
Convolutional Integro-Differential Equations in Banach Spaces With a Noetherian Operator in the Main Part Banach空间中主部有noether算子的卷积积分微分方程
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-148-159
M. Falaleev
{"title":"Convolutional Integro-Differential Equations in Banach Spaces With a Noetherian Operator in the Main Part","authors":"M. Falaleev","doi":"10.17516/1997-1397-2022-15-2-148-159","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-148-159","url":null,"abstract":"An initial-value problem for an integro-differential equation of convolution type with a finite index operator for the higher order derivative in Banach spaces is considered. The equations under consideration model the evolution of the processes with \"memory\" when the current state of the system is influenced not only by the entire history of observations but also by the factors that have formed it and that remain relevant to the current moment of observation. Solutions are constructed in the class of generalized functions with a left bounded support with the use of the theory of fundamental operator functions of degenerate integro-differential operators in Banach spaces. A fundamental operator function that corresponds to the equation under consideration is constructed. Using this function the generalized solution is restored. The relationship between the generalized solution and the classical solution of the original initial-value problem is studied. Two examples of initial-boundary value problems for the integro-differential equations with partial derivatives are considered","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127902374","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
A Problem with Wear Involving Thermo-Electro-viscoelastic Materials 热-电-粘弹性材料的磨损问题
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-239-252
A. Bachmar
{"title":"A Problem with Wear Involving Thermo-Electro-viscoelastic Materials","authors":"A. Bachmar","doi":"10.17516/1997-1397-2022-15-2-239-252","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-239-252","url":null,"abstract":"In this paper, we consider a mathematical model of a contact problem in thermo-electro- viscoelasticity. The body is in contact with an obstacle. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence and uniqueness result on parabolic inequalities, differential equations and fixed point arguments. We present a variational formulation of the problem, and we prove the existence and uniqueness of the weak solution","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127094730","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
An Analogue of the Hartogs Lemma for R-Analytic Functions r -解析函数的Hartogs引理的一个类比
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-194-198
A. Atamuratov
{"title":"An Analogue of the Hartogs Lemma for R-Analytic Functions","authors":"A. Atamuratov","doi":"10.17516/1997-1397-2022-15-2-194-198","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-194-198","url":null,"abstract":"The paper is devoted to the problem of R-analytic continuation of functions of several real variables which admit R-analytic continuation along parallel sections. We prove an analogue of the well-known Hartogs lemma for R-analytic functions","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126947713","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
Algorithm of the Regularization Method for a Singularly Perturbed Integro-differential Equation with a Rapidly Decreasing Kernel and Rapidly Oscillating Inhomogeneity 一类核速降非齐次奇摄动积分微分方程的正则化算法
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-214-223
A. Bobodzhanov
{"title":"Algorithm of the Regularization Method for a Singularly Perturbed Integro-differential Equation with a Rapidly Decreasing Kernel and Rapidly Oscillating Inhomogeneity","authors":"A. Bobodzhanov","doi":"10.17516/1997-1397-2022-15-2-214-223","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-214-223","url":null,"abstract":"In this paper, we consider a singularly perturbed integro-differential equation with a rapidly oscillating right-hand side, which includes an integral operator with a rapidly varying kernel. The main goal of this work is to generalize the Lomov’s regularization method and to reveal the influence of the rapidly oscillating right-hand side and a rapidly varying kernel on the asymptotics of the solution to the original problem","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132018853","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
Some Systems of Transcendental Equations 一些超越方程组
Journal of Siberian Federal University. Mathematics & Physics Pub Date : 2022-03-01 DOI: 10.17516/1997-1397-2022-15-2-135-147
A. Kytmanov
{"title":"Some Systems of Transcendental Equations","authors":"A. Kytmanov","doi":"10.17516/1997-1397-2022-15-2-135-147","DOIUrl":"https://doi.org/10.17516/1997-1397-2022-15-2-135-147","url":null,"abstract":"Several examples of transcendental systems of equations are considered. 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. Calculations of multidimensional numerical series are given","PeriodicalId":438860,"journal":{"name":"Journal of Siberian Federal University. Mathematics & Physics","volume":"2009 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127333644","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信