发布求助
文献互助 智能选刊 最新文献

Contemporary Mathematics. Fundamental Directions最新文献

筛选
英文 中文
Vladimir Mikhailovich Filippov (Biography)
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-3-423-426
— —
{"title":"Vladimir Mikhailovich Filippov (Biography)","authors":"— —","doi":"10.22363/2413-3639-2021-67-3-423-426","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-3-423-426","url":null,"abstract":"<jats:p />","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116336346","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
Averaging of Higher-Order Parabolic Equations with Periodic Coefficients 具有周期系数的高阶抛物方程的平均
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-1-130-191
A. A. Miloslova, T. Suslina
{"title":"Averaging of Higher-Order Parabolic Equations with Periodic Coefficients","authors":"A. A. Miloslova, T. Suslina","doi":"10.22363/2413-3639-2021-67-1-130-191","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-1-130-191","url":null,"abstract":"In L2(Rd;Cn), we consider a wide class of matrix elliptic operators A of order 2p (where p2) with periodic rapidly oscillating coefficients (depending on x/). Here 0 is a small parameter. We study the behavior of the operator exponent e-A for 0 and small . We show that the operatore-A converges as 0 in the operator norm in L2(Rd;Cn) to the exponent e-A0 of the effective operator A0. Also we obtain an approximation of the operator exponent e-A in the norm of operators acting from L2(Rd;Cn) to the Sobolev space Hp(Rd; Cn). We derive estimates of errors of these approximations depending on two parameters: and . For a fixed 0 the errors have the exact order O(). We use the results to study the behavior of a solution of the Cauchy problem for the parabolic equation u(x,)= -(A u)(x,)+F(x,) in Rd.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125612086","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
Fokas Method for the Heat Equation on Metric Graphs 度量图上热方程的Fokas方法
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-4-766-782
Z. Sobirov, M. Eshimbetov
{"title":"Fokas Method for the Heat Equation on Metric Graphs","authors":"Z. Sobirov, M. Eshimbetov","doi":"10.22363/2413-3639-2021-67-4-766-782","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-4-766-782","url":null,"abstract":"The paper presents a method for constructing solutions to initial-boundary value problems for the heat equation on simple metric graphs such as a star-shaped graph, a tree, and a triangle with three converging edges. The solutions to the problems are constructed by the so-called Fokas method, which is a generalization of the Fourier transform method. In this case, the problem is reduced to a system of algebraic equations for the Fourier transform of the unknown values of the solution at the vertices of the graph.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"233 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132923804","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
Functor of Idempotent Probability Measures with Compact Support and Open Mappings 具有紧支持和开映射的幂等概率测度的函子
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-4-693-706
A. Ishmetov
{"title":"Functor of Idempotent Probability Measures with Compact Support and Open Mappings","authors":"A. Ishmetov","doi":"10.22363/2413-3639-2021-67-4-693-706","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-4-693-706","url":null,"abstract":"In this paper, we show that the functor of idempotent probability measures with compact support acting in the category of Tikhonov spaces and their continuous mappings is normal. It is found that this functor is monodic. Further, it is proved that the functor of idempotent probability measures with compact support preserves the openness of continuous mappings of Tikhonov spaces.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124155887","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
Volterra-type Quadratic Stochastic Operators with a Homogeneous Tournament 具有齐次竞赛的volterra型二次随机算子
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-4-783-794
M. Tadzhieva, D. Eshmamatova, R. Ganikhodzhaev
{"title":"Volterra-type Quadratic Stochastic Operators with a Homogeneous Tournament","authors":"M. Tadzhieva, D. Eshmamatova, R. Ganikhodzhaev","doi":"10.22363/2413-3639-2021-67-4-783-794","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-4-783-794","url":null,"abstract":"As is known [1], each quadratic stochastic operator of Volterra type acting on a finitedimensional simplex defines a certain tournament, the properties of which make it possible to study the asymptotic behavior of the trajectories of this Volterra operator. In this paper, we introduce the concept of a homogeneous tournament and study the dynamic properties of Volterra operators corresponding to homogeneous tournaments in the simplex S4.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130221381","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
Investigation of Integrodifferential Equations by Methods of Spectral Theory 用谱理论方法研究积分微分方程
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-2-255-284
V. Vlasov, N. Rautian
{"title":"Investigation of Integrodifferential Equations by Methods of Spectral Theory","authors":"V. Vlasov, N. Rautian","doi":"10.22363/2413-3639-2021-67-2-255-284","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-2-255-284","url":null,"abstract":"This paper provides a survey of results devoted to the study of integrodifferential equations with unbounded operator coefficients in a Hilbert space. These equations are operator models of integrodifferential partial differential equations arising in numerous applications: in the theory of viscoelasticity, in the theory of heat propagation in media with memory (Gurtin-Pipkin equations), and averaging theory. The most interesting and profound results of the survey are devoted to the spectral analysis of operator functions that are symbols of the integrodifferential equations under study.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115942378","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
Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients 连续系数Pfaff方程的存在唯一性定理
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-4-609-619
A. Abduganiev, A. Azamov, A. O. Begaliev
{"title":"Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients","authors":"A. Abduganiev, A. Azamov, A. O. Begaliev","doi":"10.22363/2413-3639-2021-67-4-609-619","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-4-609-619","url":null,"abstract":"In this paper, the Pfaff equations with continuous coefficients are considered. Analogs of Peanos existence theorem and Kamkes theorem on the uniqueness of the solution to the Cauchy problem are established, and a method for the approximate solution of the Cauchy problem for the Pfaff equation is proposed.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116329273","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
α-Subharmonic Functions α次谐波函数
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-4-620-633
B. Abdullaev, S. Imomkulov, R. A. Sharipov
{"title":"α-Subharmonic Functions","authors":"B. Abdullaev, S. Imomkulov, R. A. Sharipov","doi":"10.22363/2413-3639-2021-67-4-620-633","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-4-620-633","url":null,"abstract":"In this paper, we study the class of -subharmonic functions. A number of important properties of -subharmonic functions are proved, and an equivalent, more convenient definition of -subharmonicity is given. The geometric structure of removable singularities for some classes of -subharmonic functions is also described.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115195984","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 Calculation of the Norm of a Monotone Operator in Ideal Spaces 理想空间中单调算子范数的计算
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-3-455-471
E. Bakhtigareeva, M. Goldman
{"title":"On Calculation of the Norm of a Monotone Operator in Ideal Spaces","authors":"E. Bakhtigareeva, M. Goldman","doi":"10.22363/2413-3639-2021-67-3-455-471","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-3-455-471","url":null,"abstract":"This paper contains the proof of general results on the calculation of the norms of monotone operators acting from one ideal space to another under matching convexity and concavity properties of the operator and the norms in ideal spaces.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115915782","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
Semigroups of Operators Generated by Integro-Differential Equations with Kernels Representable by Stieltjes Integrals 核可由Stieltjes积分表示的积分-微分方程生成的算子半群
Contemporary Mathematics. Fundamental Directions Pub Date : 2021-12-15 DOI: 10.22363/2413-3639-2021-67-3-507-525
V. Vlasov, N. Rautian
{"title":"Semigroups of Operators Generated by Integro-Differential Equations with Kernels Representable by Stieltjes Integrals","authors":"V. Vlasov, N. Rautian","doi":"10.22363/2413-3639-2021-67-3-507-525","DOIUrl":"https://doi.org/10.22363/2413-3639-2021-67-3-507-525","url":null,"abstract":"Abstract Volterra integro-differential equations with kernels of integral operators representable by Stieltjes integrals are investigated. The presented results are based on the approach related to the study of one-parameter semigroups for linear evolution equations. We present the method of reduction of the original initial-value problem for a model integro-differential equation with operator coefficients in a Hilbert space to the Cauchy problem for a first-order differential equation in an extended function space. The existence of the contractive C0-semigroup is proved. An estimate for the exponential decay of the semigroup is obtained.","PeriodicalId":280824,"journal":{"name":"Contemporary Mathematics. Fundamental Directions","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128566287","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
首页 上一页 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：604180095
Book学术官方微信
小红书