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Ufa Mathematical Journal最新文献

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Periodic solutions of convolution type equations with monotone nonlinearity 具有单调非线性的卷积型方程的周期解
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-1-20
S. Askhabov
{"title":"Periodic solutions of convolution type equations with monotone nonlinearity","authors":"S. Askhabov","doi":"10.13108/2016-8-1-20","DOIUrl":"https://doi.org/10.13108/2016-8-1-20","url":null,"abstract":"By the method of monotone operators we establish theorems on global existence and uniqueness, as well as estimats and methods of finding the solutions for various classes of nonlinear convolution type integral equations in the real space of 2πperiodic functions Lp(−π, π).","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"91 1","pages":"20-34"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73162029","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
Minimal value for the type of an entire function of order $rhoin(0,,1)$, whose zeros lie in an angle and have a prescribed density $rhoin(0，，1)$阶的整个函数类型的最小值，其零点位于一个角度并且具有规定的密度
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-1-108
V. Sherstyukov
{"title":"Minimal value for the type of an entire function of order $rhoin(0,,1)$, whose zeros lie in an angle and have a prescribed density","authors":"V. Sherstyukov","doi":"10.13108/2016-8-1-108","DOIUrl":"https://doi.org/10.13108/2016-8-1-108","url":null,"abstract":". In the work we find the minimal value that can be taken by the type of an entire function of order 𝜌 ∈ (0 , 1) with zeroes of prescribed upper and lower densities and located in an angle of a fixed opening less than 𝜋 . The main theorem generalizes the previous result by the author (the zeroes lie on one ray) and by A.Yu. Popov (only the upper density of zeros was taken into consideration). We distinguish and study in detail the case when the an entire function has a measurable sequence of zeroes. We provide applications of the obtained results to the uniqueness theorems for entire functions and to the completeness of exponential systems in the space of analytic in a circle functions with the standard topology of uniform convergence on compact sets.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"52 1","pages":"108-120"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72543994","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
On absolute Cesáro summablity of Fourier series for almost-periodic functions with limiting points at zero 极限点为0的概周期函数的傅里叶级数的绝对Cesáro可和性
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-4-144
Y. Khasanov
{"title":"On absolute Cesáro summablity of Fourier series for almost-periodic functions with limiting points at zero","authors":"Y. Khasanov","doi":"10.13108/2016-8-4-144","DOIUrl":"https://doi.org/10.13108/2016-8-4-144","url":null,"abstract":"In the paper we establish some tests for absolute Cesáro summability of the Fourier series for almost periodic functions in the Besicovitch space. We consider the case, when the Fourier exponents have a limiting point at zero and as a structure characteristics of the studied function, we use a high order averaging modulus.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"69 2","pages":"144-151"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72417440","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
On simultaneous solution of the KdV equation and a fifth-order differential equation KdV方程与五阶微分方程的联立解
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-4-52
R. Garifullin
{"title":"On simultaneous solution of the KdV equation and a fifth-order differential equation","authors":"R. Garifullin","doi":"10.13108/2016-8-4-52","DOIUrl":"https://doi.org/10.13108/2016-8-4-52","url":null,"abstract":"In the paper we consider an universal solution to the KdV equation. This solution also satisfies a fifth order ordinary differential equation. We pose the problem on studying the behavior of this solution as t → ∞. For large time, the asymptotic solution has different structure depending on the slow variable s = x2/t. We construct the asymptotic solution in the domains s < −3/4, −3/4 < s < 5/24 and in the vicinity of the point s = −3/4. It is shown that a slow modulation of solution’s parameters in the vicinity of the point s = −3/4 is described by a solution to Painlevé IV equation.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"104 1","pages":"52-61"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89935774","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
Degenerate fractional differential equations in locally convex spaces with a $sigma$-regular pair of operators 用正则算子对退化局部凸空间中的分数阶微分方程
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-4-98
M. Kostic, V. Fedorov
{"title":"Degenerate fractional differential equations in locally convex spaces with a $sigma$-regular pair of operators","authors":"M. Kostic, V. Fedorov","doi":"10.13108/2016-8-4-98","DOIUrl":"https://doi.org/10.13108/2016-8-4-98","url":null,"abstract":"We consider a degenerate fractional order differential equationDα t Lu(t) = Mu(t) in a Hausdorff sequentially complete locally convex space. Under the p-regularity of the operator pair (L,M), we find the phase space of the equation and the family of its resolving operators. We show that the identity image of the latter coincides with the phase space. We prove an unique solvability theorem and obtain the form of the solution to the Cauchy problem for the corresponding inhomogeneous equation. We give an example of application the obtained abstract results to studying the solvability of the initial boundary value problems for the partial differential equations involving entire functions on an unbounded operator in a Banach space, which is a specially constructed Frechét space. It allows us to consider, for instance, a periodic in a spatial variable x problem for the equation with a shift along x and with a fractional order derivative with respect to time t.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"2007 1","pages":"98-110"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89513257","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
Properties of the resolvent of the Laplace operator on a two-dimensional sphere and a trace formula 二维球面上拉普拉斯算子解的性质及轨迹公式
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-3-22
A. Atnagulov, V. Sadovnichii, Z. Fazullin
{"title":"Properties of the resolvent of the Laplace operator on a two-dimensional sphere and a trace formula","authors":"A. Atnagulov, V. Sadovnichii, Z. Fazullin","doi":"10.13108/2016-8-3-22","DOIUrl":"https://doi.org/10.13108/2016-8-3-22","url":null,"abstract":"In the work we study the properties of the resolvent of the Laplace-Beltrami operator on a two-dimensional sphere S2. We obtain the regularized trace formula for the Laplace-Beltrami operator perturbed by the operator of multiplication by a function in W 1 2 (S 2).","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"27 1","pages":"22-40"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73507464","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: 5
The problem of Steklov type in a half-cylinder with a small cavity 斯特克洛夫型在半圆柱小腔中的问题
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-4-62
D. B. Davletov, D. V. Kozhevnikov
{"title":"The problem of Steklov type in a half-cylinder with a small cavity","authors":"D. B. Davletov, D. V. Kozhevnikov","doi":"10.13108/2016-8-4-62","DOIUrl":"https://doi.org/10.13108/2016-8-4-62","url":null,"abstract":"","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"30 1 1","pages":"62-87"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85528555","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 solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator 带分数阶边界算子的非齐次多谐方程边值问题的可解性
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-3-155
B. Turmetov
{"title":"On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator","authors":"B. Turmetov","doi":"10.13108/2016-8-3-155","DOIUrl":"https://doi.org/10.13108/2016-8-3-155","url":null,"abstract":". In this paper we study the solvability of one boundary value problem for an inhomogeneous polyharmonic equation. As a boundary operator, we consider a differen-tiation operator of fractional order in the Hadamard sense. The considered problem is a generalization of the known Neumann problem.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"8 1","pages":"155-170"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82029911","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 unconditional exponential bases in weak weighted spaces on segment 节上弱加权空间中的无条件指数基
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-4-88
K. P. Isaev, A. Lutsenko, R. S. Yulmukhametov
{"title":"On unconditional exponential bases in weak weighted spaces on segment","authors":"K. P. Isaev, A. Lutsenko, R. S. Yulmukhametov","doi":"10.13108/2016-8-4-88","DOIUrl":"https://doi.org/10.13108/2016-8-4-88","url":null,"abstract":"We show that the existence of unconditional exponential bases is not determined by the growth characteristics of a weight function. In order to do this, we construct examples of convex weights with arbitrarily slow growth near the boundary such that unconditional exponential bases do not exist in the corresponding space.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"14 1","pages":"88-97"},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84267877","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 resolvent of multi-dimensional operators with frequent alternation of boundary conditions: Critical case 边界条件频繁变换的多维算子的求解:临界情况
IF 0.5
Ufa Mathematical Journal Pub Date : 2016-01-01 DOI: 10.13108/2016-8-2-65
T. F. Sharapov
{"title":"On resolvent of multi-dimensional operators with frequent alternation of boundary conditions: Critical case","authors":"T. F. Sharapov","doi":"10.13108/2016-8-2-65","DOIUrl":"https://doi.org/10.13108/2016-8-2-65","url":null,"abstract":"We consider an elliptic operator in a multi-dimensional domain with frequent alternation of Dirichlet and Robin conditions. We study the case, when the homogenized operator has Robin condition with an additional coefficient generated by the geometry of the alternation. We prove the norm resolvent convergence of the perturbed operator to the homogenized one and obtain the estimate for the convergence rate. We construct the complete asymptotic expansion for the resolvent in the case, when it acts on sufficiently smooth functions.","PeriodicalId":43644,"journal":{"name":"Ufa Mathematical Journal","volume":"7 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75161094","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
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