发布求助
文献互助 智能选刊 最新文献

Advances in Mathematics: Scientific Journal最新文献

筛选
英文 中文
STABILITY AND BOUNDEDNESS ANALYSIS OF A STATE–DEPENDENT DIFFERENTIAL EQUATIONS FOR A SYSTEM OF TWO COUPLED CIRCUITS 两个耦合电路系统的状态微分方程的稳定性和有界性分析
Advances in Mathematics: Scientific Journal Pub Date : 2024-02-21 DOI: 10.37418/amsj.13.1.3
A. Olutimo, I. D. Omoko, A. A. Abdurasid, A.F. Abass
{"title":"STABILITY AND BOUNDEDNESS ANALYSIS OF A STATE–DEPENDENT DIFFERENTIAL EQUATIONS FOR A SYSTEM OF TWO COUPLED CIRCUITS","authors":"A. Olutimo, I. D. Omoko, A. A. Abdurasid, A.F. Abass","doi":"10.37418/amsj.13.1.3","DOIUrl":"https://doi.org/10.37418/amsj.13.1.3","url":null,"abstract":"Two coupled circuits are extensively used in radio electronics and communication. The problem of stability analysis of state variables describing system of two coupled circuits is very critical as unstable circuit causes damage to electrical systems. Analysis of stability and boundedness behavior of the state variables characterizing system of two coupled circuits is carried out using the Lyapunov's second method. We provide in simple form, less restrictive conditions that are implementable at the development stage and which ensure the stability and boundedness of the state variables describing system considered. For illustration, the behaviours of the system of two coupled circuits with response and its bounded output are shown.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"16 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140442952","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
CENTRALIZERS IN THE FIRST WEYL ALGEBRA OVER A 2 OR 3-CHARACTERISTIC FIELD 2 或 3 特征域上的第一个韦尔代数中的中心子
Advances in Mathematics: Scientific Journal Pub Date : 2024-02-15 DOI: 10.37418/amsj.13.1.2
B.S.B. Kouame, K.M. Kouakou
{"title":"CENTRALIZERS IN THE FIRST WEYL ALGEBRA OVER A 2 OR 3-CHARACTERISTIC FIELD","authors":"B.S.B. Kouame, K.M. Kouakou","doi":"10.37418/amsj.13.1.2","DOIUrl":"https://doi.org/10.37418/amsj.13.1.2","url":null,"abstract":"The purpose of this paper is the determination of some centralizers in $A_{1}$, the first Weyl Algebra. Some authors have done their studies in the case of zero characteristic field. As far as we're concerned, we have decided to work in 2 or 3 characteristic field. Doing so, we show that if $uin A_{1}$ is a minimal element, $C$-primitive and without constant term, then its centralizer $Z(u)=mathbb{L}[u]cap A_{1}$ where $mathbb{L}$ is the fractions field of $C$, the center of $A_{1}$. Particularly, when $u$ is ad-invertible, i.e there exists $vin A_{1}$ such that $[u,v]=1$, then we have $Z(u)=C[u]$ which is a result analogous to that of cite{JJC}.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"548 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139833917","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
CENTRALIZERS IN THE FIRST WEYL ALGEBRA OVER A 2 OR 3-CHARACTERISTIC FIELD 2 或 3 特征域上的第一个韦尔代数中的中心子
Advances in Mathematics: Scientific Journal Pub Date : 2024-02-15 DOI: 10.37418/amsj.13.1.2
B.S.B. Kouame, K.M. Kouakou
{"title":"CENTRALIZERS IN THE FIRST WEYL ALGEBRA OVER A 2 OR 3-CHARACTERISTIC FIELD","authors":"B.S.B. Kouame, K.M. Kouakou","doi":"10.37418/amsj.13.1.2","DOIUrl":"https://doi.org/10.37418/amsj.13.1.2","url":null,"abstract":"The purpose of this paper is the determination of some centralizers in $A_{1}$, the first Weyl Algebra. Some authors have done their studies in the case of zero characteristic field. As far as we're concerned, we have decided to work in 2 or 3 characteristic field. Doing so, we show that if $uin A_{1}$ is a minimal element, $C$-primitive and without constant term, then its centralizer $Z(u)=mathbb{L}[u]cap A_{1}$ where $mathbb{L}$ is the fractions field of $C$, the center of $A_{1}$. Particularly, when $u$ is ad-invertible, i.e there exists $vin A_{1}$ such that $[u,v]=1$, then we have $Z(u)=C[u]$ which is a result analogous to that of cite{JJC}.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"20 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139774231","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
ESTABLISH OF THE JENSEN TYPE ( Γ_1, Γ_2 )-FUNCTIONAL INEQUATITIES BASED ON JENSEN TYPE FUNCTIONAL EQUATION WITH 3k-VARIABLES IN COMPLEX BANACH SPACE 基于复杂巴纳赫空间中含 3k 变量的詹森式函数方程的詹森式（Γ_1，Γ_2）函数不等式的建立
Advances in Mathematics: Scientific Journal Pub Date : 2024-01-23 DOI: 10.37418/amsj.13.1.1
Ly Van An
{"title":"ESTABLISH OF THE JENSEN TYPE ( Γ_1, Γ_2 )-FUNCTIONAL INEQUATITIES BASED ON JENSEN TYPE FUNCTIONAL EQUATION WITH 3k-VARIABLES IN COMPLEX BANACH SPACE","authors":"Ly Van An","doi":"10.37418/amsj.13.1.1","DOIUrl":"https://doi.org/10.37418/amsj.13.1.1","url":null,"abstract":"In this paper, I work on expanding the Jensen $(Gamma_{1},Gamma_{2})$-function inequalities by relying on the general Jensen functional equation with 3k-variables on the complex Banach space. That's the main result in this.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"137 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139604480","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 CONSECUTIVE MATRIX THEOREM - A PROPERTY OF DETERMINANTS 连续矩阵定理--行列式的性质
Advances in Mathematics: Scientific Journal Pub Date : 2023-12-05 DOI: 10.37418/amsj.12.12.1
Pablo Roberto Dias
{"title":"THE CONSECUTIVE MATRIX THEOREM - A PROPERTY OF DETERMINANTS","authors":"Pablo Roberto Dias","doi":"10.37418/amsj.12.12.1","DOIUrl":"https://doi.org/10.37418/amsj.12.12.1","url":null,"abstract":"The purpose of this paper is to present the proof that the determinant of any matrix of order higher than 2 ($k > 2$) where elements are consecutive numbers or numbers following an arithmetic progression will always be zero.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"20 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138597867","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
STRUCTURE OF A RING IN WHICH EVERY ELEMENT IS SUM OF 3, 4 OR 5 COMMUTING TRIPOTENTS 环结构，其中每个元素都是 3、4 或 5 个交换三等分元素之和
Advances in Mathematics: Scientific Journal Pub Date : 2023-11-30 DOI: 10.37418/amsj.12.11.4
Kumar Napoleon, Deka, Helen K. Saikia
{"title":"STRUCTURE OF A RING IN WHICH EVERY ELEMENT IS SUM OF 3, 4 OR 5 COMMUTING TRIPOTENTS","authors":"Kumar Napoleon, Deka, Helen K. Saikia","doi":"10.37418/amsj.12.11.4","DOIUrl":"https://doi.org/10.37418/amsj.12.11.4","url":null,"abstract":"In this paper we show if $R$ be a ring in which every element is sum of three commuting tripotents then for every $kin R$ we have $(k-3)(k-2)^2(k-1)^2k^2(k+1)^2(k+2)^2(k+3)=0$, if every element of $R$ is sum of four commuting tripotents then for every $kin R$ we have $(k-4)(k-3)(k-2)^2(k-1)^2k^4(k+1)^2(k+2)^2(k+3)(k+4)=0$, if every element of $R$ is sum of five commuting tripotents then for every $kin R$ we have $(k-5)(k-4)(k-3)^2(k-2)^3(k-1)^3k^4(k+1)^3(k+2)^3(k+3)^2(k+4)(k+5)=0$. Then we discuss the properties of these type of ring. Finally we find the general structure of a ring in which every element is sum of $n$ commuting tripotents and discuss the properties of it.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"24 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139205817","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
AN INTRO TO $delta_d$-FUZZY GRAPHS 关于 $delta_d$-FUZZY 图形的介绍
Advances in Mathematics: Scientific Journal Pub Date : 2023-11-28 DOI: 10.37418/amsj.12.11.3
J. Jeromi Jovita, O. Uma Maheswari, N. Meenal
{"title":"AN INTRO TO $delta_d$-FUZZY GRAPHS","authors":"J. Jeromi Jovita, O. Uma Maheswari, N. Meenal","doi":"10.37418/amsj.12.11.3","DOIUrl":"https://doi.org/10.37418/amsj.12.11.3","url":null,"abstract":"Graph is a easy way to represent the real life situation. Graph is a combination of Points and Lines. In network analysis, the degree of a point plays a prominent role in Graph Theory. The degree of a point is the number of connections it has with the other points in the point set. Among the degrees of all the points in graph $G^*$, the minimum value is denoted by $delta(G^*)$. In this article, a new abstraction of fuzzy graph is initiated by combining the parameters, degree of a point and minimum degree of the graph and termed it is as $delta_d$-fuzzy graphs. Order and Size on $delta_d$-fuzzy graphs were studied and Handshaking Lemma were explained with illustration. Idea on $delta_d$-regular fuzzy graph were interpreted using the theorems. Also operations on graphs such as union, intersection, complement, cartesian product, Tensor Product, Corona are extended for $delta_d$-fuzzy graphs.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"93 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139220691","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 TOPOLOGY OF CENTROSYMMETRIC MATRICES WITH APPLICATIONS 中心对称矩阵拓扑及其应用
Advances in Mathematics: Scientific Journal Pub Date : 2023-11-17 DOI: 10.37418/amsj.12.11.2
S. Koyuncu, C. Ozel, M. Albaity
{"title":"ON TOPOLOGY OF CENTROSYMMETRIC MATRICES WITH APPLICATIONS","authors":"S. Koyuncu, C. Ozel, M. Albaity","doi":"10.37418/amsj.12.11.2","DOIUrl":"https://doi.org/10.37418/amsj.12.11.2","url":null,"abstract":"In this work, we investigate the algebraic and geometric properties of centrosymmetric matrices over the positive reals. We show that the set of centrosymmetric matrices, denoted as $mathcal{C}_n$, forms a Lie algebra under the Hadamard product with the Lie bracket defined as $[A, B] = A circ B - B circ A$. Furthermore, we prove that the set $mathcal{C}_n$ of centrosymmetric matrices over $mathbb{R}^+$ is an open connected differentiable manifold with dimension $lceil frac{n^2}{2}rceil$. This result is achieved by establishing a diffeomorphism between $mathcal{C}_n$ and a Euclidean space $mathbb{R}^{lceil frac{n^2}{2}rceil}$, and by demonstrating that the set is both open and path-connected. This work provides insight into the algebraic and topological properties of centrosymmetric matrices, paving the way for potential applications in various mathematical and engineering fields.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"128 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139265058","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 NUMERICAL STUDY OF 2D-LANE-EMDEN PROBLEM USING 2D-BOUBAKER POLYNOMIALS 基于二维boubaker多项式的二维lane - emden问题的数值研究
Advances in Mathematics: Scientific Journal Pub Date : 2023-09-07 DOI: 10.37418/amsj.12.9.1
Abdelkrim Bencheikh
{"title":"A NUMERICAL STUDY OF 2D-LANE-EMDEN PROBLEM USING 2D-BOUBAKER POLYNOMIALS","authors":"Abdelkrim Bencheikh","doi":"10.37418/amsj.12.9.1","DOIUrl":"https://doi.org/10.37418/amsj.12.9.1","url":null,"abstract":"The paper presents a numerical solution for the two-dimensional Lane-Emden problem using two-dimensional Boubaker polynomials. The method involves utilizing the operational matrix of differentiation and collocation method to convert the problem into a system of algebraic equations. The proposed approach, based on two-dimensional Boubaker polynomials operational matrices, is shown to be straightforward and effective. The validity and applicability of the method are demonstrated through illustrative examples.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"163 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134360518","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 FAMILY OF K-STEP TRIGONOMETRICALLY-FITTED BLOCK FALKNER METHODS FOR SOLVING SECOND-ORDER INITIAL-VALUE PROBLEMS WITH OSCILLATING SOLUTIONS 一类求解二阶振荡解初值问题的k步三角拟合块falkner方法
Advances in Mathematics: Scientific Journal Pub Date : 2023-08-26 DOI: 10.37418/amsj.12.8.5
G. S. Awe, M. A. Akanbi, R. Abdulganiy, A. Olutimo, Y. T. Oyebo
{"title":"A FAMILY OF K-STEP TRIGONOMETRICALLY-FITTED BLOCK FALKNER METHODS FOR SOLVING SECOND-ORDER INITIAL-VALUE PROBLEMS WITH OSCILLATING SOLUTIONS","authors":"G. S. Awe, M. A. Akanbi, R. Abdulganiy, A. Olutimo, Y. T. Oyebo","doi":"10.37418/amsj.12.8.5","DOIUrl":"https://doi.org/10.37418/amsj.12.8.5","url":null,"abstract":"A family of K-step Trigonometrically-fitted Block Falkner Methods is considered for the direct solution of second order Oscillatory Initial value problems. As unique to Falkner methods, two main formulas (one for the method and one for the derivative) for each k-step and some additional formulas. This method shall be adapted to general oscillatory second order ordinary differential equations via the multistep collocation technique. The idea employed in this study is the generalized collocation technique based on fitting functions that are combination of trigonometric and algebraic polynomials, which is then implemented in a block mode to get approximations at all the grid points simultaneously. As in other block methods, there is no need of other procedures to provide starting values, and thus the methods are selfstarting (sharing this advantage of Runge-kutta methods). The study of the properties of the proposed adapted block Falkner methods reveals that they are consistent and zero-stable, and thus, convergent. Furthermore, the stability analysis and the algebraic order conditions of the proposed methods are established. As evident from the numerical results, the methods are efficient and accurate when compared with some recent methods in the literature.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124314308","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信