发布求助
文献互助 智能选刊 最新文献

Bulletin of the Malaysian Mathematical Sciences Society最新文献

筛选
英文 中文
Clairaut Conformal Submersions 克莱拉特共形浸没器
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-05-08 DOI: 10.1007/s40840-024-01697-1
Kiran Meena, Tomasz Zawadzki
{"title":"Clairaut Conformal Submersions","authors":"Kiran Meena, Tomasz Zawadzki","doi":"10.1007/s40840-024-01697-1","DOIUrl":"https://doi.org/10.1007/s40840-024-01697-1","url":null,"abstract":"<p>The aim of this paper is to introduce Clairaut conformal submersions between Riemannian manifolds. First, we find necessary and sufficient conditions for conformal submersions to be Clairaut conformal submersions. In particular, we obtain Clairaut relation for geodesics on the total manifolds of conformal submersions, and prove that Clairaut conformal submersions have constant dilation along their fibers, which are totally umbilical, with mean curvature being gradient of a function. Further, we calculate the scalar and Ricci curvatures of the vertical distributions of the total manifolds. Moreover, we find a necessary and sufficient condition for Clairaut conformal submersions to be harmonic. For a Clairaut conformal submersion we find conformal changes of the metric on its domain or image, that give a Clairaut Riemannian submersion, a Clairaut conformal submersion with totally geodesic fibers, or a harmonic Clairaut submersion. Finally, we give two non-trivial examples of Clairaut conformal submersions to illustrate the theory and present a local model of every Clairaut conformal submersion with integrable horizontal distribution.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"49 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140933933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Threshold of a Stochastic SIRS Epidemic Model with a General Incidence 具有一般发病率的随机 SIRS 流行模型的阈值
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-05-07 DOI: 10.1007/s40840-024-01696-2
Mohammed Lakhal, Tarik El Guendouz, Regragui Taki, Mohamed El Fatini
{"title":"The Threshold of a Stochastic SIRS Epidemic Model with a General Incidence","authors":"Mohammed Lakhal, Tarik El Guendouz, Regragui Taki, Mohamed El Fatini","doi":"10.1007/s40840-024-01696-2","DOIUrl":"https://doi.org/10.1007/s40840-024-01696-2","url":null,"abstract":"<p>In this article, a SIRS epidemic model with a general incidence rate is proposed and investigated. We briefly verify the global existence of a unique positive solution for the proposed system. Moreover, and unlike other works, we were able to find the stochastic threshold <span>(mathcal {R}_s)</span> of the proposed model which was used for the discussion of the persistence in mean and extinction of the disease. Moreover, we utilize stochastic Lyapunov functions to show under sufficient conditions the existence and uniqueness of stationary distributions of the solution. Lastly, numerical simulation is executed to conform our analytical results.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"28 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140882083","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Infinitely Many Small Energy Solutions to Nonlinear Kirchhoff–Schrödinger Equations with the p-Laplacian 具有 p 拉普拉卡方的非线性基尔霍夫-薛定谔方程的无限多小能解
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-30 DOI: 10.1007/s40840-024-01694-4
In Hyoun Kim, Yun-Ho Kim
{"title":"Infinitely Many Small Energy Solutions to Nonlinear Kirchhoff–Schrödinger Equations with the p-Laplacian","authors":"In Hyoun Kim, Yun-Ho Kim","doi":"10.1007/s40840-024-01694-4","DOIUrl":"https://doi.org/10.1007/s40840-024-01694-4","url":null,"abstract":"<p>This paper is devoted to deriving the multiplicity result of solutions to the nonlinear elliptic equations of Kirchhoff–Schrödinger type on a class of a nonlocal Kirchhoff coefficient which slightly differs from the previous related works. More precisely, the main purpose of this paper, under the various conditions for a nonlinear term, is to show that our problem has a sequence of infinitely many small energy solutions. In order to obtain such a multiplicity result, the dual fountain theorem is used as the primary tool.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"43 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140830156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterizing Bipartite Distance-Regularized Graphs with Vertices of Eccentricity 4 表征具有偏心顶点的双方距规则化图形 4
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-29 DOI: 10.1007/s40840-024-01690-8
Blas Fernández, Marija Maksimović, Sanja Rukavina
{"title":"Characterizing Bipartite Distance-Regularized Graphs with Vertices of Eccentricity 4","authors":"Blas Fernández, Marija Maksimović, Sanja Rukavina","doi":"10.1007/s40840-024-01690-8","DOIUrl":"https://doi.org/10.1007/s40840-024-01690-8","url":null,"abstract":"<p>Consider a bipartite distance-regularized graph <span>(Gamma )</span> with color partitions <i>Y</i> and <span>(Y')</span>. Notably, all vertices in partition <i>Y</i> (and similarly in <span>(Y')</span>) exhibit a shared eccentricity denoted as <i>D</i> (and <span>(D')</span>, respectively). The characterization of bipartite distance-regularized graphs, specifically those with <span>(D le 3)</span>, in relation to the incidence structures they represent is well established. However, when <span>(D=4)</span>, there are only two possible scenarios: either <span>(D'=3)</span> or <span>(D'=4)</span>. The instance where <span>(D=4)</span> and <span>(D'=3)</span> has been previously investigated. In this paper, we establish a one-to-one correspondence between the incidence graphs of quasi-symmetric SPBIBDs with parameters <span>((v, b, r, k, lambda _1, 0))</span> of type <span>((k-1, t))</span>, featuring intersection numbers <span>(x=0)</span> and <span>(y&gt;0)</span> (where <span>(y le t &lt; k)</span>), and bipartite distance-regularized graphs with <span>(D=D'=4)</span>. Moreover, our investigations result in the systematic classification of 2-<i>Y</i>-homogeneous bipartite distance-regularized graphs, which are incidence graphs of quasi-symmetric SPBIBDs with parameters <span>((v,b,r,k, lambda _1,0))</span> of type <span>((k-1,t))</span> with intersection numbers <span>(x=0)</span> and <span>(y=1)</span>.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"31 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140809250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
One-Point Extensions of a Tychonoff Space X via Closed Ideals of $$C_{B}(X)$$ 通过 $$C_{B}(X)$$ 的封闭理想对 Tychonoff 空间 X 进行单点扩展
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-29 DOI: 10.1007/s40840-024-01693-5
Alireza Olfati
{"title":"One-Point Extensions of a Tychonoff Space X via Closed Ideals of $$C_{B}(X)$$","authors":"Alireza Olfati","doi":"10.1007/s40840-024-01693-5","DOIUrl":"https://doi.org/10.1007/s40840-024-01693-5","url":null,"abstract":"<p>For a Tychonoff space <i>X</i>, let <span>(C_{B}(X))</span> be the <span>(C^{*})</span>-algebra of all bounded complex-valued continuous functions on <i>X</i>. In this paper, we mainly discuss Tychonoff one-point extensions of <i>X</i> arising from closed ideals of <span>(C_{B}(X))</span>. We show that every closed ideal <i>H</i> of <span>(C_{B}(X))</span> produces a Tychonoff one-point extension <span>(X(infty _{H}))</span> of <i>X</i>. Moreover, every Tychonoff one-point extension of <i>X</i> can be obtained in this way. As an application, we study the partially ordered set of all Tychonoff one-point extensions of <i>X</i>. It is shown that the minimal unitization of a non-vanishing closed ideal <i>H</i> of <span>(C_{B}(X))</span> is isometrically <span>(*)</span>-isomorphic with the <span>(C^{*})</span>-algebra <span>(C_{B}left( X(infty _{H})right) )</span>. We provide a description for the Čech–Stone compactification of an arbitrary Tychonoff one-point extension of <i>X</i> as a quotient space of <span>(beta X)</span> via a closed ideal of <span>(C_{B}(X))</span>. Then, we establish a characterization of closed ideals of <span>(C_{B}(X))</span> that have countable topological generators. Finally, an intrinsic characterization of the multiplier algebra of an arbitrary closed ideal of <span>(C_{B}(X))</span> is given.\u0000</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"35 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140809267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Series Involving Cubic Central Binomial Coefficients of Convergence Rate 1/64 涉及收敛率为 1/64 的三次中心二项式系数的数列
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-16 DOI: 10.1007/s40840-024-01686-4
Chunli Li, Wenchang Chu
{"title":"Series Involving Cubic Central Binomial Coefficients of Convergence Rate 1/64","authors":"Chunli Li, Wenchang Chu","doi":"10.1007/s40840-024-01686-4","DOIUrl":"https://doi.org/10.1007/s40840-024-01686-4","url":null,"abstract":"<p>By applying the “coefficient extraction method” to hypergeometric series, we establish several remarkable identities for infinite series of convergence rate <span>(frac{1}{64})</span> about harmonic numbers and central binomial coefficients, including three conjectured ones made recently by Sun Z-W.\u0000</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"20 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140614823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quasilinear Schrödinger Equations with a Singular Operator and Critical or Supercritical Growth 具有奇异算子和临界或超临界增长的准线性薛定谔方程
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-10 DOI: 10.1007/s40840-024-01691-7
Lin Guo, Chen Huang
{"title":"Quasilinear Schrödinger Equations with a Singular Operator and Critical or Supercritical Growth","authors":"Lin Guo, Chen Huang","doi":"10.1007/s40840-024-01691-7","DOIUrl":"https://doi.org/10.1007/s40840-024-01691-7","url":null,"abstract":"<p>We consider the following singular quasilinear Schrödinger equations involving critical exponent </p><span>$$begin{aligned} left{ begin{array}{ll} displaystyle -Delta u-frac{alpha }{2}Delta (|u|^{alpha })|u|^{alpha -2}u=theta |u|^{k-2}u+|u|^{2^{*}-2}u+lambda f(u), xin Omega , hspace{1.65in}u=,0, xin partial Omega , end{array} right. end{aligned}$$</span><p>where <span>(0&lt;alpha &lt;1)</span>. By using the variational methods, we first prove that for small values of <span>(lambda )</span> and <span>(theta )</span>, the above problem has infinitely many distinct solutions with negative energy. Besides, we point out that odd assumption on <i>f</i> is required; the problem has at least one nontrivial solution. Finally, a new modified technique is used to consider the existence of infinitely many solutions for far more general equations.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"53 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140583057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","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 Eccentricity Matrices of Certain Bi-Block Graphs 论某些双块图的偏心矩阵
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-10 DOI: 10.1007/s40840-024-01687-3
T. Divyadevi, I. Jeyaraman
{"title":"On the Eccentricity Matrices of Certain Bi-Block Graphs","authors":"T. Divyadevi, I. Jeyaraman","doi":"10.1007/s40840-024-01687-3","DOIUrl":"https://doi.org/10.1007/s40840-024-01687-3","url":null,"abstract":"<p>The eccentricity matrix of a simple connected graph <i>G</i> is obtained from the distance matrix of <i>G</i> by retaining the largest nonzero distance in each row and column, and the remaining entries are defined to be zero. A bi-block graph is a simple connected graph whose blocks are all complete bipartite graphs with possibly different orders. In this paper, we study the eccentricity matrices of a subclass <span>({mathscr {B}})</span> (which includes trees) of bi-block graphs. We first find the inertia of the eccentricity matrices of graphs in <span>({mathscr {B}})</span>, and thereby, we characterize graphs in <span>({mathscr {B}})</span> with odd diameters. Precisely, if the diameter of <span>(Gin {mathscr {B}})</span> is more than three, then we show that the eigenvalues of the eccentricity matrix of <i>G</i> are symmetric with respect to the origin if and only if the diameter of <i>G</i> is odd. Further, we prove that the eccentricity matrices of graphs in <span>({mathscr {B}})</span> are irreducible.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"45 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140582472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Meromorphic Solutions of Nonlinear Differential-Difference Equations Involving Periodic Functions 涉及周期函数的非线性微分-差分方程的单态解
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-09 DOI: 10.1007/s40840-024-01681-9
Shuang-Shuang Yang, Xian-Jing Dong, Liang-Wen Liao
{"title":"Meromorphic Solutions of Nonlinear Differential-Difference Equations Involving Periodic Functions","authors":"Shuang-Shuang Yang, Xian-Jing Dong, Liang-Wen Liao","doi":"10.1007/s40840-024-01681-9","DOIUrl":"https://doi.org/10.1007/s40840-024-01681-9","url":null,"abstract":"<p>We investigate the following two types of nonlinear differential-difference equations </p><span>$$ L(z,f)+H(z,f)=sum _{k=1}^ralpha _k(z)e^{beta _k z}; $$</span><span>$$L(z,f)+H(z,f)=sum _{k=1}^rF_k(z), $$</span><p>where <span>(alpha _1, ldots , alpha _r)</span> are meromorphic functions of order <span>(&lt;1,)</span> and <span>(F_1,ldots , F_r)</span> are periodic transcendental entire functions, and <i>L</i>, <i>H</i> are defined by <span>(L(z,f)=sum _{k=1}^pa_k(z)f^{(m_k)}(z+tau _k)not equiv 0,)</span> <span>(H(z,f)=sum _{k=1}^qb_k(z)big [f^{(n_k)}(z+zeta _k)big ]^{s_k} )</span> with small meromorphic coefficients <span>(a_i, b_j.)</span> By introducing a new method, we obtain the exact forms of the solutions of these two equations under certain growth conditions.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"286 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140582646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Properties of Normal Subgroups Determined from Character Tables 根据字符表确定的正常子群的一些特性
IF 1.2 3区 数学
Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-09 DOI: 10.1007/s40840-024-01684-6
Z. Akhlaghi, M. J. Felipe, M. K. Jean-Philippe
{"title":"Some Properties of Normal Subgroups Determined from Character Tables","authors":"Z. Akhlaghi, M. J. Felipe, M. K. Jean-Philippe","doi":"10.1007/s40840-024-01684-6","DOIUrl":"https://doi.org/10.1007/s40840-024-01684-6","url":null,"abstract":"<p><i>G</i>-character tables of a finite group <i>G</i> were defined in Felipe et al. (Quaest Math, 2022. https://doi.org/10.2989/16073606/16073606.2022.2040633). These tables can be very useful to obtain certain structural information of a normal subgroup from the character table of <i>G</i>. We analyze certain structural properties of normal subgroups which can be determined using their <i>G</i>-character tables. For instance, we prove an extension of the Thompson’s theorem from minimal <i>G</i>-invariant characters of a normal subgroup. We also obtain a variation of Taketa’s theorem for hypercentral normal subgroups considering their minimal <i>G</i>-invariant characters. This generalization allows us to introduce a new class of nilpotent groups, the class of <i>nMI</i>-groups, whose members verify that its nilpotency class is bounded by the number of irreducible character degrees of the group.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"22 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140582462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","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