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Ufa Mathematical Journal最新文献

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On compatibility conditions and manilolds of solutions to one class of overdetermined systems of second order partial differential equations 一类二阶偏微分方程过定系统解的相容条件和广义模
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-2-58
R. Pirov
{"title":"On compatibility conditions and manilolds of solutions to one class of overdetermined systems of second order partial differential equations","authors":"R. Pirov","doi":"10.13108/2016-8-2-58","DOIUrl":"https://doi.org/10.13108/2016-8-2-58","url":null,"abstract":". In the work we consider a class of overdetermined system of second order partial differential equations for one unknown function involving one or two second order derivatives in the right hand side. We find the compatibility conditions and prove theorems on existence and uniqueness of solutions involving at most six arbitrary constants.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"5 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88819522","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 $2$-generateness of weakly localizable submodules in the module of entire functions of exponential type and polynomial growth on the real axis 幂指数型全函数模中弱可定位子模的$2$-一般性及实轴上的多项式增长
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-3-8
N. Abuzyarova
{"title":"On $2$-generateness of weakly localizable submodules in the module of entire functions of exponential type and polynomial growth on the real axis","authors":"N. Abuzyarova","doi":"10.13108/2016-8-3-8","DOIUrl":"https://doi.org/10.13108/2016-8-3-8","url":null,"abstract":"In the work we consider a topological module P(a; b) of entire functions, which is the isomorphic image under the Fourier-Laplace transform of the Schwarz space of distributions with compact supports in a finite or infinite interval (a; b) ⊂ R. We prove that each weakly localizable module in P(a; b) is either generated by its two elements or is equal to the closure of two submodules of special form. We also provide dual results on subspaces in C∞(a; b) invariant w.r.t. the differentiation operator.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"82 1","pages":"8-21"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87175209","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: 4
One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein-Volterra equations 一类非线性离散Hammerstein-Volterra方程的单参数正解族
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-1-13
Ermine Oganesovna Azizian, K. Khachatryan
{"title":"One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein-Volterra equations","authors":"Ermine Oganesovna Azizian, K. Khachatryan","doi":"10.13108/2016-8-1-13","DOIUrl":"https://doi.org/10.13108/2016-8-1-13","url":null,"abstract":". In the present work we study a class of of nonlinear discrete Hammerstein-Volterra equations in a post-critical case. We prove the existence of a one-parametric family of positive solutions in space 𝑙 1 . We describe the set of parameters and establish the monotonic dependence of each solution both in a parameter and a corresponding index.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"3 1","pages":"13-19"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75296166","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
On convergence of polynomial solutions of minimal surface 最小曲面多项式解的收敛性
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-1-68
A. A. Klyachin, Irina Vladimirovna Truhliaeva
{"title":"On convergence of polynomial solutions of minimal surface","authors":"A. A. Klyachin, Irina Vladimirovna Truhliaeva","doi":"10.13108/2016-8-1-68","DOIUrl":"https://doi.org/10.13108/2016-8-1-68","url":null,"abstract":"In this paper we consider the polynomial approximate solutions of the Dirichlet problem for minimal surface equation. It is shown that under certain conditions on the geometric structure of the domain the absolute values of the gradients of the solutions are bounded as the degree of these polynomials increases. The obtained properties imply the uniform convergence of approximate solutions to the exact solution of the minimal surface equation.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"3 1","pages":"68-78"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76318823","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
To the solution of a boundary value problem with a parameter for an ordinary differential equations 一类常微分方程带参数边值问题的解
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-2-3
S. Aisagaliev, Zhanat Khafizovna Zhunusova
{"title":"To the solution of a boundary value problem with a parameter for an ordinary differential equations","authors":"S. Aisagaliev, Zhanat Khafizovna Zhunusova","doi":"10.13108/2016-8-2-3","DOIUrl":"https://doi.org/10.13108/2016-8-2-3","url":null,"abstract":"","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"31 1","pages":"3-13"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90613134","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
Some properties of principal submodules in the module of entire functions of exponential type and polynomial growth on the real axis 指数型全函数模中主子模的若干性质及其在实轴上的多项式增长
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-1-1
N. Abuzyarova
{"title":"Some properties of principal submodules in the module of entire functions of exponential type and polynomial growth on the real axis","authors":"N. Abuzyarova","doi":"10.13108/2016-8-1-1","DOIUrl":"https://doi.org/10.13108/2016-8-1-1","url":null,"abstract":"In the work we consider a topological module of entire functions P(a; b), which is the isomorphic image of Fourier-Laplace transform of Schwarz space formed by distributions with compact supports in a finite or infinite segment (a; b) ⊂ R. We study the conditions ensuring that the principal submodule of module P(a; b) can be uniquely recovered by the zeroes of a generating function.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"34 1","pages":"3-12"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79994357","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: 12
Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains 无界域非幂非线性椭圆方程解的性质
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-3-95
Ruslan Khalikovich Karimov, L. M. Kozhevnikova, A. A. Khadzhi
{"title":"Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains","authors":"Ruslan Khalikovich Karimov, L. M. Kozhevnikova, A. A. Khadzhi","doi":"10.13108/2016-8-3-95","DOIUrl":"https://doi.org/10.13108/2016-8-3-95","url":null,"abstract":". We establish estimates characterizing the decay rate as | 𝑥 | → ∞ of solutions to the Dirichlet problems in unbounded domains for a certain class of elliptic equations with non-power nonlinearities.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"75 1","pages":"95-108"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88187601","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
Homotopy classification of elliptic problems associated with discrete group actions on manifolds with boundary 带边界流形上离散群作用椭圆问题的同伦分类
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-3-122
A. Savin, B. Sternin
{"title":"Homotopy classification of elliptic problems associated with discrete group actions on manifolds with boundary","authors":"A. Savin, B. Sternin","doi":"10.13108/2016-8-3-122","DOIUrl":"https://doi.org/10.13108/2016-8-3-122","url":null,"abstract":"Given an action of a discrete group G on a smooth compact manifold M with a boundary, we consider a class of operators generated by pseudodifferential operators on M and shift operators associated with the group action. For elliptic operators in this class, we obtain a classification up to stable homotopies and show that the group of stable homotopy classes of such problems is isomorphic to the K-group of the crossed product of the algebra of continuous functions on the cotangent bundle over the interior of the manifold and the group G acting on this algebra by automorphisms.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"15 1","pages":"122-129"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81196364","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
On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$ 关于事件的概率:在$n$广义分配方案中，每个单元的体积不超过$r$
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-2-14
A. I. Afonina, I. Kayumov, Alexej Nikolaevich Chuprunov
{"title":"On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$","authors":"A. I. Afonina, I. Kayumov, Alexej Nikolaevich Chuprunov","doi":"10.13108/2016-8-2-14","DOIUrl":"https://doi.org/10.13108/2016-8-2-14","url":null,"abstract":"We consider n identical generalized schemes of allocating particles in cells. We study the probability of the event: for each generalized allocation scheme, there are at most r particles in each cell, where r is a given number. We obtain an asymptotic estimate for this probability and we consider the application of the obtained results to an antinoise coding.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"61 1","pages":"14-21"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72500293","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
Symmetries and conservation laws for a two-component discrete potentiated Korteweg - de Vries equation 双分量离散增强Korteweg - de Vries方程的对称性和守恒律
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-3-109
M. Poptsova, I. Habibullin
{"title":"Symmetries and conservation laws for a two-component discrete potentiated Korteweg - de Vries equation","authors":"M. Poptsova, I. Habibullin","doi":"10.13108/2016-8-3-109","DOIUrl":"https://doi.org/10.13108/2016-8-3-109","url":null,"abstract":"","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"248 1","pages":"109-121"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78172563","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
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