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A criterion for the approximation of a semicontinuous functional by Lipschitz functional 用Lipschitz泛函逼近半连续泛函的一个判据
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202208
V. Prudnikov, A. G. Podgaev
{"title":"A criterion for the approximation of a semicontinuous functional by Lipschitz functional","authors":"V. Prudnikov, A. G. Podgaev","doi":"10.47910/femj202208","DOIUrl":"https://doi.org/10.47910/femj202208","url":null,"abstract":"It is proved in [1, 2] that a functional semi-continuous from below and bounded from below in the metric space X is represented as the limit of a non-decreasing family of Lipschitz functionals. In the lemma from [3], a sufficient condition for such a representation is given for a function semi-continuous from below with respect to one of the variables in a finite-dimensional space. This paper contains a criterion for approximation of a semi-continuous functional from below in a metric space by Lipschitz functionals.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"1 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":"131046058","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
Micromechanical model of high-energy materials to the curing 高能材料固化的微观力学模型
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202212
K. A. Chekhonin
{"title":"Micromechanical model of high-energy materials to the curing","authors":"K. A. Chekhonin","doi":"10.47910/femj202212","DOIUrl":"https://doi.org/10.47910/femj202212","url":null,"abstract":"During curing process of elastomeric composites residual stresses inevitably develop and play an important role in the final mechanical properties of composites. This work at a better understanding the effects of macro-level factors, including temperature, degree of cure variation and mechanical stains on micro-scale stresses with modification the Model Arruda-Boyce, and a Representative Volume Element to predict technology stresses in matrix.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"291 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":"114837727","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 thermodynamical conform for the curing coupling in elastomer at large strains 大应变下弹性体固化耦合的热力学一致性
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2022-06-27 DOI: 10.47910/femj202211
K. A. Chekhonin
{"title":"A thermodynamical conform for the curing coupling in elastomer at large strains","authors":"K. A. Chekhonin","doi":"10.47910/femj202211","DOIUrl":"https://doi.org/10.47910/femj202211","url":null,"abstract":"In the framework of a two-component medium, the phenomenological approach is used to develop a system of constitutive equations describing the thermomechanical behavior of elastomers during curing. This model is designed to describe the stress-strain states in the temperature range comprising the intervals of phase and relaxation transitions at lage strains within a rigorous thermodinamical framework. The results of numerical experiments demonstrating the possibility of describing the characteristic properties of deformation processes typical of elastomers are given.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"1 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":"129043099","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 estimates of the Schatten-Neumann norms of one class of integral operators 一类积分算子的schattenneumann范数的估计
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2021-12-10 DOI: 10.47910/femj202118
E. Lomakina, M.S. Sarychev
{"title":"The estimates of the Schatten-Neumann norms of one class of integral operators","authors":"E. Lomakina, M.S. Sarychev","doi":"10.47910/femj202118","DOIUrl":"https://doi.org/10.47910/femj202118","url":null,"abstract":"The article considers an integral operator acting from Lebesque spaces to Lorentz spaces. The conditions are found under which the compact operator belongs to the Shatten-Neumann classes.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123835067","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
Approximate solution of the Signorini problem by the finite element method in three-dimensional space 三维空间中sigorini问题的有限元近似解
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2021-12-10 DOI: 10.47910/femj202117
A. Zolotukhin
{"title":"Approximate solution of the Signorini problem by the finite element method in three-dimensional space","authors":"A. Zolotukhin","doi":"10.47910/femj202117","DOIUrl":"https://doi.org/10.47910/femj202117","url":null,"abstract":"The finite element method is usually used for two-dimensional space. The paper investigates the finite element method for solving the Signorini problem in three-dimensional space.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133705644","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
Periodic ultradiscrete transformations of the plane with periods of 5, 7, 8, 9 周期为5,7,8,9的平面的周期超离散变换
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2021-12-10 DOI: 10.47910/femj202111
M. Avdeeva
{"title":"Periodic ultradiscrete transformations of the plane with periods of 5, 7, 8, 9","authors":"M. Avdeeva","doi":"10.47910/femj202111","DOIUrl":"https://doi.org/10.47910/femj202111","url":null,"abstract":"V.A. Bykovskii constructed three new periodic ultradiscrete transformations of the plane In addition to the two well-known. In his work, only the idea of proving these statements was proposed. We give a complete and detailed proof of them for sequences with periods 5, 7, 8, 9.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127015676","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
Periodic ultradiscrete plane transformation with a period of 12 周期为12的周期超离散平面变换
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2021-12-10 DOI: 10.47910/femj202119
M. Monina
{"title":"Periodic ultradiscrete plane transformation with a period of 12","authors":"M. Monina","doi":"10.47910/femj202119","DOIUrl":"https://doi.org/10.47910/femj202119","url":null,"abstract":"V.A. Bykovskii constructed a new periodic ultradiscrete plane transformation with a period of 12. In his work only the idea of proving this periodicity was proposed. We provide a complete and detailed proof of this statement.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122292182","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 generalized Dilworth and Gleason theorem 广义Dilworth和Gleason定理
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2021-12-10 DOI: 10.47910/femj202122
E. E. Skurikhin
{"title":"A generalized Dilworth and Gleason theorem","authors":"E. E. Skurikhin","doi":"10.47910/femj202122","DOIUrl":"https://doi.org/10.47910/femj202122","url":null,"abstract":"The theorem of R.P. Dilworth and A.M. Gleason is a generalization of a Cantor theorem. We propose and proof the generalized Dilworth and Gleason theorem for functors with codomain $K/D$.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128887927","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
Covariant hydrodynamics of Hamiltonian systems 哈密顿系统的协变流体力学
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2021-12-10 DOI: 10.47910/femj202114
A. Gudimenko
{"title":"Covariant hydrodynamics of Hamiltonian systems","authors":"A. Gudimenko","doi":"10.47910/femj202114","DOIUrl":"https://doi.org/10.47910/femj202114","url":null,"abstract":"The theory of hydrodynamic reduction of non-autonomous Hamiltonian mechanics (V. Kozlov, 1983) is presented in the geometric formalism of bundles over the time axis R. In this formalism, time is one of the coordinates, not a parameter; the connections describe reference frames and velocity fields of mechanical systems. The equations of the theory are presented in a form that is invariant with respect to time-dependent coordinate transformations and the choice of reference frames.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131422295","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 two relations characterizing the golden ratio 黄金分割的两种关系
Dal'nevostochnyi Matematicheskii Zhurnal Pub Date : 2021-12-10 DOI: 10.47910/femj202116
A. A. Zhukova, A. Shutov
{"title":"On two relations characterizing the golden ratio","authors":"A. A. Zhukova, A. Shutov","doi":"10.47910/femj202116","DOIUrl":"https://doi.org/10.47910/femj202116","url":null,"abstract":"V.G. Zhuravlev found two relations associated with the golden ratio: $tau=frac{1+sqrt{5}}{2}$: $[([itau]+1)tau]=[itau^2]+1$ and $[[itau]tau]+1=[itau^2]$. We give a new elementary proof of these relations and show that they give a characterization of the golden ratio. Further we consider satisfability of our relations for finite sets of $i$-s and establish some forcing property for this situation.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123167735","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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