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Aequationes Mathematicae最新文献

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Discrete time scales with two quanta and Ulam stability 具有双量子和乌兰稳定性的离散时间尺度
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-21 DOI: 10.1007/s00010-025-01170-9
Douglas R. Anderson, Masakazu Onitsuka
{"title":"Discrete time scales with two quanta and Ulam stability","authors":"Douglas R. Anderson,&nbsp;Masakazu Onitsuka","doi":"10.1007/s00010-025-01170-9","DOIUrl":"10.1007/s00010-025-01170-9","url":null,"abstract":"<div><p>In this study, the Ulam stability of quantum equations on time scales that alternate between two quanta is considered. We show that linear equations of first order with constant coefficient or of Euler type are Ulam stable across large regions of the complex plane, and give the best Ulam constants for those regions. We also show, however, that linear equations of first order of period-1 type are not Ulam stable for any parameter value in the complex plane. This is due to the importance of pre-positioning the non-autonomous term for Ulam stability.</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1741 - 1761"},"PeriodicalIF":0.7,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110448","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
Neighborly translational tessellations of the n-torus n环面的邻接平移镶嵌
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-20 DOI: 10.1007/s00010-025-01162-9
Daniel Asimov, Daniel Pellicer
{"title":"Neighborly translational tessellations of the n-torus","authors":"Daniel Asimov,&nbsp;Daniel Pellicer","doi":"10.1007/s00010-025-01162-9","DOIUrl":"10.1007/s00010-025-01162-9","url":null,"abstract":"<div><p>The concept of an <i>n</i>-NTT (neighborly translational tessellation of the <i>n</i>-torus) is introduced as a tessellation where every pair of tiles are translates of each other, and share precisely one of their facets. An <i>n</i>-NTT with cubic tiles is studied for each <span>(n in mathbb {N})</span>, and particular attention is given to a 4-NTT whose tiles are isometric 24-cells. We also use this concept to describe a tessellation of <span>(mathbb {E}^4)</span> with isometric tiles with fractal boundary, as well as a NTT of an infinite-dimensional space.</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1855 - 1881"},"PeriodicalIF":0.7,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00010-025-01162-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantum dynamics of elliptic curves 椭圆曲线的量子动力学
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-20 DOI: 10.1007/s00010-025-01165-6
Igor V. Nikolaev
{"title":"Quantum dynamics of elliptic curves","authors":"Igor V. Nikolaev","doi":"10.1007/s00010-025-01165-6","DOIUrl":"10.1007/s00010-025-01165-6","url":null,"abstract":"<div><p>We calculate the <i>K</i>-theory of a crossed product <span>(C^*)</span>-algebra of the noncommutative torus with real multiplication by elliptic curve <span>(mathscr {E}(K))</span> over a number field <i>K</i>. This result is used to evaluate the rank and the Shafarevich-Tate group of <span>(mathscr {E}(K))</span>.</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1551 - 1564"},"PeriodicalIF":0.7,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110632","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
Distributivity and conditional distributivity of bi-uninorms over uninorms 双均匀通告上的分布性与条件分布性
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-19 DOI: 10.1007/s00010-025-01168-3
Ruijun Li, Yong Su, Wenwen Zong, Hua-Wen Liu
{"title":"Distributivity and conditional distributivity of bi-uninorms over uninorms","authors":"Ruijun Li,&nbsp;Yong Su,&nbsp;Wenwen Zong,&nbsp;Hua-Wen Liu","doi":"10.1007/s00010-025-01168-3","DOIUrl":"10.1007/s00010-025-01168-3","url":null,"abstract":"<div><p>(Conditional) distributivity plays an important role in the field of integration construction and utility theory. In this work, we aim to characterize distributive and conditionally distributive bi-uninorms over uninorms in the most general setting.</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1441 - 1454"},"PeriodicalIF":0.7,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110567","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
New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in (textbf{H}^2!times !textbf{R}) space (textbf{H}^2!times !textbf{R})空间中螺旋运动群的最优同同测地线球填充密度的新下界
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-17 DOI: 10.1007/s00010-025-01166-5
Arnasli Yahya, Jenő Szirmai
{"title":"New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in (textbf{H}^2!times !textbf{R}) space","authors":"Arnasli Yahya,&nbsp;Jenő Szirmai","doi":"10.1007/s00010-025-01166-5","DOIUrl":"10.1007/s00010-025-01166-5","url":null,"abstract":"<div><p>In this paper, we present a new record for the densest geodesic congruent ball packing configurations in <span>(textbf{H}^2!times !textbf{R})</span> geometry, generated by screw motion groups. These groups are derived from the direct product of rotational groups on <span>(textbf{H}^2)</span> and some translation components on the real fibre direction <span>(textbf{R})</span> that can be determined by the corresponding Frobenius congruences. Moreover, we developed a procedure to determine the optimal radius for the densest geodesic ball packing configurations related to the considered screw motion groups. The highest packing density, <span>(approx 0.80529)</span>, is achieved by a multi-transitive case given by rotational parameters (2, 20, 4). E. Molnár demonstrated that homogeneous 3-spaces can be uniformly interpreted in the projective 3-sphere <span>(mathcal{P}mathcal{S}^3(textbf{V}^4, varvec{V}_4, textbf{R}))</span>. We use this projective model of <span>(textbf{H}^2!times !textbf{R})</span> to compute and visualize the locally optimal geodesic ball arrangements.</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1521 - 1550"},"PeriodicalIF":0.7,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110568","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
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-14
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1455 - 1474"},"PeriodicalIF":0.7,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110588","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
Invariance of generalized quasiarithmetic means generated by different measures 不同测度产生的广义拟算术均值的不变性
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-14 DOI: 10.1007/s00010-025-01160-x
Yuli Fan, Qian Zhang
{"title":"Invariance of generalized quasiarithmetic means generated by different measures","authors":"Yuli Fan,&nbsp;Qian Zhang","doi":"10.1007/s00010-025-01160-x","DOIUrl":"10.1007/s00010-025-01160-x","url":null,"abstract":"<div><p>In this paper, we investigate the invariance of the arithmetic mean with respect to generalized quasiarithmetic means, that is, solve the functional equation </p><div><div><span>$$begin{aligned} &amp; left( frac{f}{g}right) ^{-1}left( frac{int _0^1f(tx+(1-t)y)dmu (t)}{int _0^1g(tx+(1-t)y)dmu (t)}right) &amp; quad + left( frac{h}{k}right) ^{-1}left( frac{int _0^1h(tx+(1-t)y)dnu (t)}{int _0^1k(tx+(1-t)y)dnu (t)}right) =x+y,quad x,y in I, end{aligned}$$</span></div></div><p>where <span>(f,g,h,k:Irightarrow {mathbb {R}})</span> are four continuous functions, <i>g</i>, <i>k</i> are positive, <i>f</i>/<i>g</i>, <i>h</i>/<i>k</i> are strictly monotone, and <span>(mu , nu )</span> are probability measures over the Borel sets of [0, 1].</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1455 - 1474"},"PeriodicalIF":0.7,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165334","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
Weak CMP inverses 弱CMP逆
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-13 DOI: 10.1007/s00010-025-01167-4
Dijana Mosić
{"title":"Weak CMP inverses","authors":"Dijana Mosić","doi":"10.1007/s00010-025-01167-4","DOIUrl":"10.1007/s00010-025-01167-4","url":null,"abstract":"<div><p>We consider extended systems of matrix equations than well-known systems for presenting the CMP inverse in terms of a minimal rank weak Drazin inverse and minimal rank right weak Drazin inverse. Solutions of new extended systems present new kinds of generalized inverses and they are called a weak CMP inverse and a right weak CMP inverse. Beside that the CMP, MPCEP and *CEPMP inverses are special types of weak CMP and right weak CMP inverses, we study two particular classes of weak CMP inverse which are new in literature. A number of characterizations and representations for weak CMP inverse are developed. Perturbation formulae and perturbation bounds for weak CMP inverse are proved. Applications of the weak CMP inverse for solving linear equations are presented. Consequently, we obtain the classical result about application of the Moore–Penrose inverse in solving linear equation.</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1705 - 1724"},"PeriodicalIF":0.7,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164769","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
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-13
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1705 - 1724"},"PeriodicalIF":0.7,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110556","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
Iterative methods with new topological properties to show a new classical solutions of the Burgers equation 用新的拓扑性质的迭代方法来展示Burgers方程的一个新的经典解
IF 0.7 3区 数学
Aequationes Mathematicae Pub Date : 2025-05-13 DOI: 10.1007/s00010-025-01161-w
Svetlin G. Georgiev, Aissa Boukarou, Khaled Zennir, Keltoum Bouhali
{"title":"Iterative methods with new topological properties to show a new classical solutions of the Burgers equation","authors":"Svetlin G. Georgiev,&nbsp;Aissa Boukarou,&nbsp;Khaled Zennir,&nbsp;Keltoum Bouhali","doi":"10.1007/s00010-025-01161-w","DOIUrl":"10.1007/s00010-025-01161-w","url":null,"abstract":"<div><p>Obtaining the classical solutions of quasi-linear differential equations is a complex mathematical problem usually solved by a limited number of mathematical techniques. Burgers’s equation is offered for modeling the dynamics of a viscous medium while studying the quantitative properties and classical solutions. An iterative method with new appropriate topological properties is presented to show one classical solution for the problem (1.1) and at least two non-negative classical solutions.</p></div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":"99 4","pages":"1641 - 1655"},"PeriodicalIF":0.7,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110557","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
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