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Dal'nevostochnyi Matematicheskii Zhurnal最新文献

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On one equality of integrals 在一个积分等式上
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202204
A. A. Dmitriev
{"title":"On one equality of integrals","authors":"A. A. Dmitriev","doi":"10.47910/femj202204","DOIUrl":"https://doi.org/10.47910/femj202204","url":null,"abstract":"The note proves the equality $frac1{2pi i}mskip-8muoint_{|z|=r}mskip-8mulnmskip-4muleft[1{-}f(z)left(z{+}frac1zright)right]dz=-frac1{2pi i}mskip-8muoint_{|z|=r}mskip-4muexpleft(frac{1{-}sqrt{1-4f^2(z)}}{2zf(z)}right)dz.$","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"1997 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132403066","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
Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation 拟线性方程轴对称Stefan问题的全局三维可解性
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202206
A. G. Podgaev, V. Prudnikov, T. D. Kulesh
{"title":"Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation","authors":"A. G. Podgaev, V. Prudnikov, T. D. Kulesh","doi":"10.47910/femj202206","DOIUrl":"https://doi.org/10.47910/femj202206","url":null,"abstract":"Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121498735","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
Jackson-Stechkin Inequality and Values of Widths of Some Classes of Functions in $L_2$ $L_2$中若干类函数的宽度值与Jackson-Stechkin不等式
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202213
M. Shabozov, K. K. Palavonov
{"title":"Jackson-Stechkin Inequality and Values of Widths of Some Classes of Functions in $L_2$","authors":"M. Shabozov, K. K. Palavonov","doi":"10.47910/femj202213","DOIUrl":"https://doi.org/10.47910/femj202213","url":null,"abstract":"The sharp values of extremal characteristic of special form for classes $L_{2}^{(r)}$, $(rinmathbb{Z}_{+})$ containing not only averaged module of continuity but also the averaged with weight $u(t-u)/t$, $0le ule t$ of given modulus continuity is calculated. The obtained result is the spreading of well-known S. B. Vakarchuk theorem about averaged module of continuity. For the given characteristic of smoothness, is given an application for the solution of one extremal problem and the values of $n$-widths for some classes of functions in $L_2$ is calculated.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122140332","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
Finite-difference methods for solving a nonlocal boundary value problem for a multidimensional parabolic equation with boundary conditions of integral form 边界条件为积分形式的多维抛物型方程非局部边值问题的有限差分解法
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202201
Z. Beshtokova
{"title":"Finite-difference methods for solving a nonlocal boundary value problem for a multidimensional parabolic equation with boundary conditions of integral form","authors":"Z. Beshtokova","doi":"10.47910/femj202201","DOIUrl":"https://doi.org/10.47910/femj202201","url":null,"abstract":"The article considers a non-local boundary value problem for a multidimensional parabolic equation with integral boundary conditions. To solve the problem, we obtain an a priori estimate in differential form, which implies the uniqueness and stability of the solution with respect to the right-hand side and initial data on the layer in the $L_2$-norm. For the numerical solution of a nonlocal boundary value problem, a locally one-dimensional (economical) difference scheme by A.A. Samarskii with the order of approximation $O(h^2+tau)$, the main idea of which is to reduce the transition from layer to layer to the sequential solution of a number of one-dimensional problems in each of the coordinate directions. Using the method of energy inequalities, a priori estimates are obtained, which imply uniqueness, stability, and convergence of the solution of the locally one-dimensional difference scheme to the solution of the original differential problem in the $L_2$-norm at a rate equal to the order of approximation of the difference scheme. An algorithm for the numerical solution is constructed.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132144150","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
The dynamics of “imperial tails” on the example of coronavirus infection 以冠状病毒感染为例的“皇尾”动力学
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202203
M. Guzev, E. Nikitina
{"title":"The dynamics of “imperial tails” on the example of coronavirus infection","authors":"M. Guzev, E. Nikitina","doi":"10.47910/femj202203","DOIUrl":"https://doi.org/10.47910/femj202203","url":null,"abstract":"In the paper the dynamics of rank distributions is discussed on the example of a study of the incidence of COVID-19 in Primorsky Krai in 2020-2022, taking into account the periodicity of the morbidity process, and an explanation of the nature of “imperial tails” is given. It is shown that the chosen modeling method is within the framework of the general trend of research into the development of the pandemic process, and the found characteristic parameters are close to classical estimates.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122071784","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 the conformal capacity of a spatial condenser with spherical plates 球面空间聚光镜保角容量的研究
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202207
E. Prilepkina
{"title":"On the conformal capacity of a spatial condenser with spherical plates","authors":"E. Prilepkina","doi":"10.47910/femj202207","DOIUrl":"https://doi.org/10.47910/femj202207","url":null,"abstract":"Condencers with spherical plates are considered, the radii of which depend on the parameter r. It is shown that the conformal capacity of such condencers is a multiplicatively convex function of r. As a corollary, it has been established that some special functions related to capacity have a similar property.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125970646","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
Heat flow calculation for a harmonic model of a one-dimensional crystal 一维晶体谐波模型的热流计算
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202202
M. Guzev, A. A. Dmitriev
{"title":"Heat flow calculation for a harmonic model of a one-dimensional crystal","authors":"M. Guzev, A. A. Dmitriev","doi":"10.47910/femj202202","DOIUrl":"https://doi.org/10.47910/femj202202","url":null,"abstract":"A one-dimensional non-dissipative harmonic chain of particles is considered, located between two thermal reservoirs. Using the fundamental solution of the one-dimensional harmonic model, an analytical representation is obtained for the discrete expression of the heat flux. Time averaging was performed, which allows taking into account the stationary characteristics of the heat transfer process. It is shown that the averaged heat flux includes two physically different components. The first one is proportional to the temperature difference between the reservoirs and characterizes the heat transfer along the chain. The second one determines the initial value of the flow when the temperatures of the tanks are equal.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114374309","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
Polynomial Somos sequences II 多项式Somos序列II
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202209
M. Romanov
{"title":"Polynomial Somos sequences II","authors":"M. Romanov","doi":"10.47910/femj202209","DOIUrl":"https://doi.org/10.47910/femj202209","url":null,"abstract":"It was proved in [1] that for $k=4,5,6,7$ the elements of the Somos-$k$ sequence defined by the recurrence $$S_k(n+k)S_k(n)=sum_{1leqslant ileqslant k/2}alpha_i x_0dots x_{k-1}S_k(n+k-i)S_k(n+i)$$ and initial values $S_k(j)=x_j$ ($j=0,dots,k-1$) are polynomials in the variables $x_0,dots,x_{k-1}$. The unit powers of the variables $x_j$ in the factors linebreak $alpha_i x_0dots x_{k-1}$ can be reduced. In this paper, we find the smallest values of these powers, at which the polynomiality of the above sequence is preserved.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115363933","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 condensers with variable plates, potential levels and domain of definition 关于可变极板的冷凝器，电位差和定义域
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202205
V. Dubinin, V. Kim
{"title":"On the condensers with variable plates, potential levels and domain of definition","authors":"V. Dubinin, V. Kim","doi":"10.47910/femj202205","DOIUrl":"https://doi.org/10.47910/femj202205","url":null,"abstract":"The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points. We consider condenser with variable potential levels and a set of definition that tends to a predetermined domain.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122704279","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
Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions 具有菲涅耳共轭条件的辐射传热方程初边值问题
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202210
A. Chebotarev
{"title":"Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions","authors":"A. Chebotarev","doi":"10.47910/femj202210","DOIUrl":"https://doi.org/10.47910/femj202210","url":null,"abstract":"Non-local in time, unique solvability of an inhomogeneous initial-boundary value problem for a nonlinear system simulating complex heat transfer with conditions of reflection and refraction on the discontinuity surfaces of the refractive index is proved.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116294693","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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