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Arabian Journal of Mathematics最新文献

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Equilibrium problems on quasi-weighted graphs 拟加权图上的平衡问题
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-02-13 DOI: 10.1007/s40065-023-00420-5
Monther R. Alfuraidan
{"title":"Equilibrium problems on quasi-weighted graphs","authors":"Monther R. Alfuraidan","doi":"10.1007/s40065-023-00420-5","DOIUrl":"10.1007/s40065-023-00420-5","url":null,"abstract":"<div><p>We give a new minimization theorem for equilibrium problems on a quasi-weighted graph. This result generalizes the graphical version of the Ekeland’s variational principle for equilibrium problems on weighted graphs (Alfuraidan and Khamsi in Proc Am Math Soc 9:33–40, 2022).</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"289 - 295"},"PeriodicalIF":1.2,"publicationDate":"2023-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00420-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50477570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A generalization of Lappan’s five point theorem 拉普潘五点定理的一个推广
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-02-07 DOI: 10.1007/s40065-023-00418-z
Virender Singh, Banarsi Lal
{"title":"A generalization of Lappan’s five point theorem","authors":"Virender Singh,&nbsp;Banarsi Lal","doi":"10.1007/s40065-023-00418-z","DOIUrl":"10.1007/s40065-023-00418-z","url":null,"abstract":"<div><p>In this paper, we prove the following result: Let <span>(mathcal {F})</span> be a family of meromorphic functions on a domain <i>D</i> and let <span>(S=left{ varphi _i:1le i le 5right} )</span> be a set of five distinct meromorphic functions on <i>D</i>. If for each <span>(f in mathcal {F})</span> and <span>(z_0 in D)</span>, there is a constant <span>(M&gt;0)</span> such that <span>(f^{#}(z_0) le M)</span> whenever <span>(f(z_0)= varphi (z_0))</span> for some <span>(varphi in S)</span> and if <span>(f(z_0) ne varphi (z_0))</span> for all <span>(varphi in S)</span> whenever <span>(varphi _i(z_0) = varphi _j(z_0) )</span> for some <span>(i,j in left{ 1,2,3,4,5right} )</span> with <span>(i ne j)</span>, then <span>(mathcal {F})</span> is normal on <i>D</i>. Further we extend this result to the case where the set <i>S</i> contains fewer functions. In particular, our result generalizes the most significant theorem of Lappan (i.e. Lappan’s five point theorem).</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"697 - 702"},"PeriodicalIF":1.2,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00418-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50458827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solving fractional time-delay diffusion equation with variable-order derivative based on shifted Legendre–Laguerre operational matrices 基于移位Legendre–Laguerre运算矩阵求解变阶导数分数时滞扩散方程
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-01-16 DOI: 10.1007/s40065-022-00416-7
Adnan Khalaf Farhood, Osama H. Mohammed, Bushra A. Taha
{"title":"Solving fractional time-delay diffusion equation with variable-order derivative based on shifted Legendre–Laguerre operational matrices","authors":"Adnan Khalaf Farhood,&nbsp;Osama H. Mohammed,&nbsp;Bushra A. Taha","doi":"10.1007/s40065-022-00416-7","DOIUrl":"10.1007/s40065-022-00416-7","url":null,"abstract":"<div><p>This article adopts a novel technique to numerical solution for fractional time-delay diffusion equation with variable-order derivative (VFDDEs). As a matter of fact, the variable-order fractional derivative (VFD) that has been used is in the Caputo sense. The first step of this technique is constructive on the construction of the solution using the shifted Legendre–Laguerre polynomials with unknown coefficients. The second step involves using a combination of the collocation method and the operational matrices (OMs) of the shifted Legendre–Laguerre polynomials, as well as the Newton–Cotes nodal points, to find the unknown coefficients. The final step focuses on solving the resulting algebraic equations by employing Newton’s iterative method. To illustrate and demonstrate the technique’s efficacy and applicability, two examples have been provided.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"529 - 539"},"PeriodicalIF":1.2,"publicationDate":"2023-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00416-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50487063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Existence of classical solutions for a class of nonlinear impulsive evolution partial differential equations 一类非线性脉冲演化偏微分方程经典解的存在性
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-01-12 DOI: 10.1007/s40065-022-00415-8
Saïda Cherfaoui, Svetlin Georgiev Georgiev, Arezki Kheloufi, Karima Mebarki
{"title":"Existence of classical solutions for a class of nonlinear impulsive evolution partial differential equations","authors":"Saïda Cherfaoui,&nbsp;Svetlin Georgiev Georgiev,&nbsp;Arezki Kheloufi,&nbsp;Karima Mebarki","doi":"10.1007/s40065-022-00415-8","DOIUrl":"10.1007/s40065-022-00415-8","url":null,"abstract":"<div><p>This paper is devoted to the study of a class of impulsive nonlinear evolution partial differential equations. We give new results about existence and multiplicity of global classical solutions. The method used is based on the use of fixed points for the sum of two operators. Our main results will be illustrated by an application to an impulsive Burgers equation.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"573 - 585"},"PeriodicalIF":1.2,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00415-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50474486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Richards’s curve induced Banach space valued multivariate neural network approximation Richards曲线诱导的Banach空间值多元神经网络逼近
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-12-13 DOI: 10.1007/s40065-022-00414-9
George A. Anastassiou, Seda Karateke
{"title":"Richards’s curve induced Banach space valued multivariate neural network approximation","authors":"George A. Anastassiou,&nbsp;Seda Karateke","doi":"10.1007/s40065-022-00414-9","DOIUrl":"10.1007/s40065-022-00414-9","url":null,"abstract":"<div><p>Here, we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or <span>({mathbb {R}}^{N},)</span> <span>(Nin {mathbb {N}},)</span> by the multivariate normalized, quasi-interpolation, Kantorovich-type and quadrature-type neural network operators. We examine also the case of approximation by iterated operators of the last four types. These approximations are achieved by establishing multidimensional Jackson type inequalities involving the multivariate modulus of continuity of the engaged function or its high-order Fréchet derivatives. Our multivariate operators are defined using a multidimensional density function induced by the Richards’s curve, which is a generalized logistic function. The approximations are pointwise, uniform and <span>(L_{p}.)</span> The related feed-forward neural network is with one hidden layer.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"11 - 33"},"PeriodicalIF":1.2,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00414-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9361623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms 具有内阻尼和对数源项的Timoshenko系统的全局存在性和渐近性
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-12-12 DOI: 10.1007/s40065-022-00411-y
Sebastião Martins Siqueira Cordeiro, Ducival Carvalho Pereira, Carlos Alessandro da Costa Baldez, Carlos Alberto Raposo da Cunha
{"title":"Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms","authors":"Sebastião Martins Siqueira Cordeiro,&nbsp;Ducival Carvalho Pereira,&nbsp;Carlos Alessandro da Costa Baldez,&nbsp;Carlos Alberto Raposo da Cunha","doi":"10.1007/s40065-022-00411-y","DOIUrl":"10.1007/s40065-022-00411-y","url":null,"abstract":"<div><p>This manuscript deals with a Timoshenko system with damping and source. The existence and stability of the solution are analyzed taking into account the competition of the internal damping versus the logarithmic source. We use the potential well theory. For initial data in the stability set created by the Nehari surface, the existence of global solutions is proved using Faedo–Galerkin’s approximation. The exponential decay is given by the Nakao theorem. A numerical approach is presented to illustrate the results obtained.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"105 - 118"},"PeriodicalIF":1.2,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00411-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50474393","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Homogenized skew PBW extensions 均匀化偏斜PBW扩展
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-12-09 DOI: 10.1007/s40065-022-00410-z
Héctor Suárez, Armando Reyes, Yésica Suárez
{"title":"Homogenized skew PBW extensions","authors":"Héctor Suárez,&nbsp;Armando Reyes,&nbsp;Yésica Suárez","doi":"10.1007/s40065-022-00410-z","DOIUrl":"10.1007/s40065-022-00410-z","url":null,"abstract":"<div><p>In this paper, we provide a new and more general filtration to the family of noncommutative rings known as skew PBW extensions. We introduce the notion of <span>(sigma )</span>-filtered skew PBW extension and study some homological properties of these algebras. We show that the homogenization of a <span>(sigma )</span>-filtered skew PBW extension <i>A</i> over a ring <i>R</i> is a graded skew PBW extension over the homogenization of <i>R</i>. Using this fact, we prove that if the homogenization of <i>R</i> is Auslander-regular, then the homogenization of <i>A</i> is a domain Noetherian, Artin–Schelter regular, and <i>A</i> is Noetherian, Zariski and (ungraded) skew Calabi–Yau.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"247 - 263"},"PeriodicalIF":1.2,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00410-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50464770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Geometry induced by flocks 羊群诱导的几何图形
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-12-05 DOI: 10.1007/s40065-022-00413-w
Sonia Dog
{"title":"Geometry induced by flocks","authors":"Sonia Dog","doi":"10.1007/s40065-022-00413-w","DOIUrl":"10.1007/s40065-022-00413-w","url":null,"abstract":"<div><p>Using the vectors and symmetry of affine geometry induced by the ternary quasigroup satisfying the para-associative laws, we found the conditions under which such quasigroup becomes a ternary group. The obtained results also give a simple characterization of semiabelian <i>n</i>-ary groups.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"119 - 125"},"PeriodicalIF":1.2,"publicationDate":"2022-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00413-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50451715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A class of diffusive delayed viral infection models with general incidence function and cellular proliferation 一类具有一般发病函数和细胞增殖的扩散性延迟性病毒感染模型
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-12-05 DOI: 10.1007/s40065-022-00412-x
Alexis Nangue, Willy Armel Tacteu Fokam
{"title":"A class of diffusive delayed viral infection models with general incidence function and cellular proliferation","authors":"Alexis Nangue,&nbsp;Willy Armel Tacteu Fokam","doi":"10.1007/s40065-022-00412-x","DOIUrl":"10.1007/s40065-022-00412-x","url":null,"abstract":"<div><p>We propose and analyze a new class of three dimensional space models that describes infectious diseases caused by viruses such as hepatitis B virus (HBV) and hepatitis C virus (HCV). This work constructs a Reaction–Diffusion-Ordinary Differential Equation model of virus dynamics, including absorption effect, cell proliferation, time delay, and a generalized incidence rate function. By constructing suitable Lyapunov functionals, we show that the model has threshold dynamics: if the basic reproduction number <span>(mathcal {R}_{0}(tau ) le 1 )</span>, then the uninfected equilibrium is globally asymptotically stable, whereas if <span>(mathcal {R}_{0}(tau ) &gt; 1)</span>, and under certain conditions, the infected equilibrium is globally asymptotically stable. This precedes a careful study of local asymptotic stability. We pay particular attention to prove boundedness, positivity, existence and uniqueness of the solution to the obtained initial and boundary value problem. Finally, we perform some numerical simulations to illustrate the theoretical results obtained in one-dimensional space. Our results improve and generalize some known results in the framework of virus dynamics.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"173 - 199"},"PeriodicalIF":1.2,"publicationDate":"2022-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00412-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9361622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Exact sequences for dual Toeplitz algebras on hypertori 超上对偶Toeplitz代数的精确序列
IF 1.2
Arabian Journal of Mathematics Pub Date : 2022-11-28 DOI: 10.1007/s40065-022-00408-7
Lakhdar Benaissa, Hocine Guediri
{"title":"Exact sequences for dual Toeplitz algebras on hypertori","authors":"Lakhdar Benaissa,&nbsp;Hocine Guediri","doi":"10.1007/s40065-022-00408-7","DOIUrl":"10.1007/s40065-022-00408-7","url":null,"abstract":"<div><p>In this paper, we construct a symbol calculus yielding short exact sequences for the dual Toeplitz algebra generated by all bounded dual Toeplitz operators on the Hardy space associated with the polydisk <span>({mathbb {D}}^n)</span> in the unitary space <span>({mathbb {C}}^n)</span>, that have been introduced and well studied in our earlier paper (Benaissa and Guediri in Taiwan J Math 19: 31–49, 2015), as well as for the C*-subalgebra generated by dual Toeplitz operators with symbols continuous on the associated hypertorus <span>({mathbb {T}}^n)</span>.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 1","pages":"71 - 81"},"PeriodicalIF":1.2,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-022-00408-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50521566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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