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Communications in Mathematics最新文献

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General Terms of All Almost Balancing Numbers of First and Second Type 第一类和第二类几乎平衡数的通称
Communications in Mathematics Pub Date : 2022-11-16 DOI: 10.46298/cm.10318
A. Tekcan, Alper Erdem
{"title":"General Terms of All Almost Balancing Numbers of First and Second Type","authors":"A. Tekcan, Alper Erdem","doi":"10.46298/cm.10318","DOIUrl":"https://doi.org/10.46298/cm.10318","url":null,"abstract":"In this work, we determined the general terms of all almost balancing numbers\u0000of first and second type in terms of balancing numbers and conversely we\u0000determined the general terms of all balancing numbers in terms of all almost\u0000balancing numbers of first and second type. We also set a correspondence\u0000between all almost balancing numbers of first and second type and Pell numbers.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44976605","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 commutativity of prime rings with skew derivations 关于具有斜导子的素环的交换性
Communications in Mathematics Pub Date : 2022-11-12 DOI: 10.46298/cm.10319
N. Rehman, Shuliang Huang
{"title":"On commutativity of prime rings with skew derivations","authors":"N. Rehman, Shuliang Huang","doi":"10.46298/cm.10319","DOIUrl":"https://doi.org/10.46298/cm.10319","url":null,"abstract":"Let $mathscr{R}$ be a prime ring of Char$(mathscr{R}) neq 2$ and $mneq 1$\u0000be a positive integer. If $S$ is a nonzero skew derivation with an associated\u0000automorphism $mathscr{T}$ of $mathscr{R}$ such that $([S([a, b]), [a,\u0000b]])^{m} = [S([a, b]), [a, b]]$ for all $a, b in mathscr{R}$, then\u0000$mathscr{R}$ is commutative.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49291994","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
Proper biharmonic maps on tangent bundle 切线束上的固有双调和映射
Communications in Mathematics Pub Date : 2022-11-12 DOI: 10.46298/cm.10305
N. Djaa, F. Latti, A. Zagane
{"title":"Proper biharmonic maps on tangent bundle","authors":"N. Djaa, F. Latti, A. Zagane","doi":"10.46298/cm.10305","DOIUrl":"https://doi.org/10.46298/cm.10305","url":null,"abstract":"This paper, we define the Mus-Gradient metric on tangent bundle $TM$ by a\u0000deformation non-conform of Sasaki metric over an n-dimensional Riemannian\u0000manifold $(M, g)$. First we investigate the geometry of the Mus-Gradient metric\u0000and we characterize a new class of proper biharmonic maps. Examples of proper\u0000biharmonic maps are constructed when all of the factors are Euclidean spaces.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44861275","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
Legendre curves on 3-dimensional $C_{12}$-Manifolds 三维$C_{12}$流形上的Legendre曲线
Communications in Mathematics Pub Date : 2022-11-11 DOI: 10.46298/cm.10390
G. Beldjilali, Benaoumeur Bayour, Habib Bouzir
{"title":"Legendre curves on 3-dimensional $C_{12}$-Manifolds","authors":"G. Beldjilali, Benaoumeur Bayour, Habib Bouzir","doi":"10.46298/cm.10390","DOIUrl":"https://doi.org/10.46298/cm.10390","url":null,"abstract":"Legendre curves play a very important and special role in geometry and\u0000topology of almost contact manifolds.There are certain results known for\u0000Legendre curves in 3-dimensional normal almost contact manifolds. The aim of\u0000this paper is to study Legendre curves of three-dimensional $C_{12}$-manifolds\u0000which are non-normal almost contact manifolds and classifying all biharmonic\u0000Legendre curves in these manifolds.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47617150","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
Qualitative analysis of strictly non-Volterra quadratic dynamical systems with continuous time 连续时间严格非Volterra二次动力系统的定性分析
Communications in Mathematics Pub Date : 2022-11-11 DOI: 10.46298/cm.10528
Rasulov Xaydar Raupovich
{"title":"Qualitative analysis of strictly non-Volterra quadratic dynamical systems with continuous time","authors":"Rasulov Xaydar Raupovich","doi":"10.46298/cm.10528","DOIUrl":"https://doi.org/10.46298/cm.10528","url":null,"abstract":"In this article, a continuous analogue of strictly non-Volterra quadratic\u0000dynamical systems with continuous time and points of equilibrium is\u0000investigated, a phase portrait of the system is constructed, numerical\u0000solutions are found, and a comparative analysis is carried out with a\u0000particular solution of the system.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49006049","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 Complex Ginzburg-Landau equations in almost periodic spaces 概周期空间中的多项式复Ginzburg-Landau方程
Communications in Mathematics Pub Date : 2022-11-07 DOI: 10.46298/cm.10279
A. Besteiro
{"title":"Polynomial Complex Ginzburg-Landau equations in almost periodic spaces","authors":"A. Besteiro","doi":"10.46298/cm.10279","DOIUrl":"https://doi.org/10.46298/cm.10279","url":null,"abstract":"We consider Complex Ginzburg-Landau equations with a polynomial nonlinearity\u0000in the real line. We use splitting-methods to prove well-posedness for a subset\u0000of almost periodic spaces. Specifically, we prove that if the initial condition\u0000has multiples of an irrational phase, then the solution of the equation\u0000maintains those same phases.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45951847","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 Strongly pi-Regular Rings with Involution 关于对合的强pi正则环
Communications in Mathematics Pub Date : 2022-11-06 DOI: 10.46298/cm.10273
Jian Cui, P. Danchev
{"title":"On Strongly pi-Regular Rings with Involution","authors":"Jian Cui, P. Danchev","doi":"10.46298/cm.10273","DOIUrl":"https://doi.org/10.46298/cm.10273","url":null,"abstract":"Recall that a ring R is called strongly pi-regular if, for every a in R,\u0000there is a positive integer n, depending on a, such that a^n belongs to the\u0000intersection of a^{n+1}R and Ra^{n+1}. In this paper we give a further study of\u0000the notion of a strongly pi-star-regular ring, which is the star-version of\u0000strongly pi-regular rings and which was originally introduced by Cui-Wang in J.\u0000Korean Math. Soc. (2015). We also establish various properties of these rings\u0000and give several new characterizations in terms of (strong) pi-regularity and\u0000involution. Our results also considerably extend recent ones in the subject due\u0000to Cui-Yin in Algebra Colloq. (2018) proved for pi-star-regular rings and due\u0000to Cui-Danchev in J. Algebra Appl. (2020) proved for star-periodic rings.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49222628","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
A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component 基于一个速度分量梯度的Navier-Stokes方程的乘子空间正则性判据
Communications in Mathematics Pub Date : 2022-11-02 DOI: 10.46298/cm.10267
A. Alghamdi, S. Gala, M. Ragusa
{"title":"A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component","authors":"A. Alghamdi, S. Gala, M. Ragusa","doi":"10.46298/cm.10267","DOIUrl":"https://doi.org/10.46298/cm.10267","url":null,"abstract":"In this paper, we study regularity of weak solutions to the incompressible\u0000Navier-Stokes equations in $mathbb{R}^{3}times (0,T)$. The main goal is to\u0000establish the regularity criterion via the gradient of one velocity component\u0000in multiplier spaces.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42282372","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 the matrix function $_pR_q(A, B; z)$ and its fractional calculus properties 关于矩阵函数$_pR_q（A，B；z）$及其分式演算性质
Communications in Mathematics Pub Date : 2022-10-22 DOI: 10.46298/cm.10205
Ravi Dwivedi, Reshma Sanjhira
{"title":"On the matrix function $_pR_q(A, B; z)$ and its fractional calculus properties","authors":"Ravi Dwivedi, Reshma Sanjhira","doi":"10.46298/cm.10205","DOIUrl":"https://doi.org/10.46298/cm.10205","url":null,"abstract":"The main objective of the present paper is to introduce and study the\u0000function $_pR_q(A, B; z)$ with matrix parameters and investigate the\u0000convergence of this matrix function. The contiguous matrix function relations,\u0000differential formulas and the integral representation for the matrix function\u0000$_pR_q(A, B; z)$ are derived. Certain properties of the matrix function\u0000$_pR_q(A, B; z)$ have also been studied from fractional calculus point of view.\u0000Finally, we emphasize on the special cases namely the generalized matrix\u0000$M$-series, the Mittag-Leffler matrix function and its generalizations and some\u0000matrix polynomials.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45706524","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
Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation 七阶Caudrey-Dodd- Gibbon方程的Lie对称性分析
Communications in Mathematics Pub Date : 2022-10-18 DOI: 10.46298/cm.10102
Hariom Sharma, Rajan Arora
{"title":"Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation","authors":"Hariom Sharma, Rajan Arora","doi":"10.46298/cm.10102","DOIUrl":"https://doi.org/10.46298/cm.10102","url":null,"abstract":"In the present paper, seventh order Caudrey-Dodd-Gibbon (CDG) equation is solved by Lie symmetry analysis. All the geometry vector fields of seventh order KdV equations are presented. Using Lie transformation seventh order CDG equation is reduced into ordinary\u0000differential equations. These ODEs are solved by power series method to obtain exact solution. The convergence of the power series is also discussed.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47602677","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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