发布求助
文献互助 智能选刊 最新文献

AIMS Mathematics最新文献

筛选
英文 中文
A note on equivalent conditions for majorization 关于主要化的同等条件的说明
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2024-05-13 DOI: 10.3934/math.2024419
Roberto Bruno, Ugo Vaccaro
{"title":"A note on equivalent conditions for majorization","authors":"Roberto Bruno, Ugo Vaccaro","doi":"10.3934/math.2024419","DOIUrl":"https://doi.org/10.3934/math.2024419","url":null,"abstract":"In this paper, we introduced novel characterizations of the classical concept of majorization in terms of upper triangular (resp., lower triangular) row-stochastic matrices, and in terms of sequences of linear transforms on vectors. We used our new characterizations of majorization to derive an improved entropy inequality.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140983701","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 conjugacy diameters of non-abelian finite $ p $-groups with cyclic maximal subgroups 具有循环最大子群的非阿贝尔有限 $ p $ 群的共轭直径
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2024-01-17 DOI: 10.3934/math.2024524
Fawaz Aseeri, J. Kaspczyk
{"title":"The conjugacy diameters of non-abelian finite $ p $-groups with cyclic maximal subgroups","authors":"Fawaz Aseeri, J. Kaspczyk","doi":"10.3934/math.2024524","DOIUrl":"https://doi.org/10.3934/math.2024524","url":null,"abstract":"Let $ G $ be a group. A subset $ S $ of $ G $ is said to normally generate $ G $ if $ G $ is the normal closure of $ S $ in $ G. $ In this case, any element of $ G $ can be written as a product of conjugates of elements of $ S $ and their inverses. If $ gin G $ and $ S $ is a normally generating subset of $ G, $ then we write $ | g|_{S} $ for the length of a shortest word in $ mbox{Conj}_{G}(S^{pm 1}): = {h^{-1}sh | hin G, sin S , mbox{or} , s{^{-1}}in S } $ needed to express $ g. $ For any normally generating subset $ S $ of $ G, $ we write $ |G|_{S} = mbox{sup}{|g|_{S} , |, , gin G}. $ Moreover, we write $ Delta(G) $ for the supremum of all $ |G|_{S}, $ where $ S $ is a finite normally generating subset of $ G, $ and we call $ Delta(G) $ the conjugacy diameter of $ G. $ In this paper, we derive the conjugacy diameters of the semidihedral $ 2 $-groups, the generalized quaternion groups and the modular $ p $-groups. This is a natural step after the determination of the conjugacy diameters of dihedral groups.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140505170","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
$ mathcal{N} = 2 $ double graded supersymmetric quantum mechanics via dimensional reduction $ mathcal{N} = 2 $ 通过降维的双梯度超对称量子力学
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2024-01-05 DOI: 10.3934/math.2024513
N. Aizawa, Ren Ito, Toshiya Tanaka
{"title":"$ mathcal{N} = 2 $ double graded supersymmetric quantum mechanics via dimensional reduction","authors":"N. Aizawa, Ren Ito, Toshiya Tanaka","doi":"10.3934/math.2024513","DOIUrl":"https://doi.org/10.3934/math.2024513","url":null,"abstract":"We presented a novel $ mathcal{N} = 2 $ $ mathbb{Z}_2^2 $-graded supersymmetric quantum mechanics ($ {mathbb{Z}_2^2} $-SQM) which has different features from those introduced so far. It is a two-dimensional (two-particle) system and was the first example of the quantum mechanical realization of an eight-dimensional irreducible representation (irrep) of the $ mathcal{N} = 2 $ $ mathbb{Z}_2^2 $-supersymmetry algebra. The $ {mathbb{Z}_2^2} $-SQM was obtained by quantizing the one-dimensional classical system derived by dimensional reduction from the two-dimensional $ {mathbb{Z}_2^2} $-supersymmetric Lagrangian of $ mathcal{N} = 1 $, which we constructed in our previous work. The ground states of the $ {mathbb{Z}_2^2} $-SQM were also investigated.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140513415","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
Efficient numerical approaches with accelerated graphics processing unit (GPU) computations for Poisson problems and Cahn-Hilliard equations. 利用图形处理器（GPU）加速计算泊松问题和卡恩-希利亚德方程的高效数值方法。
IF 1.8 3区 数学
AIMS Mathematics Pub Date : 2024-01-01 Epub Date: 2024-09-23 DOI: 10.3934/math.20241334
Saulo Orizaga, Maurice Fabien, Michael Millard
{"title":"Efficient numerical approaches with accelerated graphics processing unit (GPU) computations for Poisson problems and Cahn-Hilliard equations.","authors":"Saulo Orizaga, Maurice Fabien, Michael Millard","doi":"10.3934/math.20241334","DOIUrl":"10.3934/math.20241334","url":null,"abstract":"<p><p>In this computational paper, we focused on the efficient numerical implementation of semi-implicit methods for models in materials science. In particular, we were interested in a class of nonlinear higher-order parabolic partial differential equations. The Cahn-Hilliard (CH) equation was chosen as a benchmark problem for our proposed methods. We first considered the Cahn-Hilliard equation with a convexity-splitting (CS) approach coupled with a backward Euler approximation of the time derivative and tested the performance against the bi-harmonic-modified (BHM) approach in terms of accuracy, order of convergence, and computation time. Higher-order time-stepping techniques that allow for the methods to increase their accuracy and order of convergence were then introduced. The proposed schemes in this paper were found to be very efficient for 2D computations. Computed dynamics in 2D and 3D are presented to demonstrate the energy-decreasing property and overall performance of the methods for longer simulation runs with a variety of initial conditions. In addition, we also present a simple yet powerful way to accelerate the computations by using MATLAB built-in commands to perform GPU implementations of the schemes. We show that it is possible to accelerate computations for the CH equation in 3D by a factor of 80, provided the hardware is capable enough.</p>","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11466300/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142401649","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
Fejér type inequalities for harmonically convex functions 调和凸函数的fejsamr型不等式
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-08-18 DOI: 10.3934/math.2022835
Muhammad Amer Latif
{"title":"Fejér type inequalities for harmonically convex functions","authors":"Muhammad Amer Latif","doi":"10.3934/math.2022835","DOIUrl":"https://doi.org/10.3934/math.2022835","url":null,"abstract":"In this study, some mappings related to the Fejér-type inequalities for harmonically convex functions are defined over $ left[ 0, 1right] $. Some Fejér-type inequalities for harmonically convex functions are proved using these mappings. Properties of these mappings are considered and consequently, refinements are obtained of some known results.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46984565","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: 3
Angle in the space of $ p $-summable sequences $ p $-可和序列空间中的角
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-07-16 DOI: 10.3934/math.2022155
M. Nur, M. Bahri, A. Islamiyati, Harmanus Batkunde
{"title":"Angle in the space of $ p $-summable sequences","authors":"M. Nur, M. Bahri, A. Islamiyati, Harmanus Batkunde","doi":"10.3934/math.2022155","DOIUrl":"https://doi.org/10.3934/math.2022155","url":null,"abstract":"The aim of this paper is to investigate completness of $ A $ that equipped with usual norm on $ p $-summable sequences space where $ A $ is subspace in $ p $-summable sequences space and $ 1le p < infty $. We also introduce a new inner product on $ A $ and prove completness of $ A $ using a new norm that corresponds this new inner product. Moreover, we discuss the angle between two vectors and two subspaces in $ A $. In particular, we discuss the angle between $ 1 $-dimensional subspace and $ (s-1) $-dimensional subspace where $ sge 2 $ of $ A $.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48080725","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
Cohomologies of modified $ lambda $-differential Lie triple systems and applications 修正$ λ $-微分李三元系统的上同调及其应用
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-07-12 DOI: 10.3934/math.20231280
Wen Teng, Fengshan Long, Yu Zhang
{"title":"Cohomologies of modified $ lambda $-differential Lie triple systems and applications","authors":"Wen Teng, Fengshan Long, Yu Zhang","doi":"10.3934/math.20231280","DOIUrl":"https://doi.org/10.3934/math.20231280","url":null,"abstract":"In this paper, we introduce the concept and representation of modified $ lambda $-differential Lie triple systems. Next, we define the cohomology of modified $ lambda $-differential Lie triple systems with coefficients in a suitable representation. As applications of the proposed cohomology theory, we study 1-parameter formal deformations and abelian extensions of modified $ lambda $-differential Lie triple systems.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42483532","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 lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative 具有空间导数的双线性项的一维波动方程经典解的寿命
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-06-12 DOI: 10.3934/math.20231300
Takiko Sasaki, Shuhei Takamatsu, H. Takamura
{"title":"The lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative","authors":"Takiko Sasaki, Shuhei Takamatsu, H. Takamura","doi":"10.3934/math.20231300","DOIUrl":"https://doi.org/10.3934/math.20231300","url":null,"abstract":"This paper is devoted to the lifespan estimates of small classical solutions of the initial value problems for one dimensional wave equations with semilinear terms of the spatial derivative of the unknown function. It is natural that the result is same as the one for semilinear terms of the time-derivative. But there are so many differences among their proofs. Moreover, it is meaningful to study this problem in the sense that it may help us to investigate its blow-up boundary in the near future.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47127415","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: 1
Stability of stochastic dynamic systems of a random structure with Markov switching in the presence of concentration points 具有马尔可夫切换的随机结构动态系统在集中点下的稳定性
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-05-19 DOI: 10.3934/math.20231245
T. Lukashiv, I. Malyk, Maryna K. Chepeleva, P. Nazarov
{"title":"Stability of stochastic dynamic systems of a random structure with Markov switching in the presence of concentration points","authors":"T. Lukashiv, I. Malyk, Maryna K. Chepeleva, P. Nazarov","doi":"10.3934/math.20231245","DOIUrl":"https://doi.org/10.3934/math.20231245","url":null,"abstract":"This article aims to investigate sufficient conditions for the stability of the trivial solution of stochastic differential equations with a random structure, particularly in contexts involving the presence of concentration points. The proof of asymptotic stability leverages the use of Lyapunov functions, supplemented by additional constraints on the magnitudes of jumps and jump times, as well as the Markov property of the system solutions. The findings are elucidated with an example, demonstrating both stable and unstable conditions of the system. The novelty of this work is in the consideration of jump concentration points, which are not considered in classical works. The assumption of the existence of concentration points leads to additional constraints on jumps, jump times and relations between them.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45589800","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
Mixed radial-angular bounds for Hardy-type operators on Heisenberg group Heisenberg群上hardy型算子的混合径向-角界
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-04-24 DOI: 10.3934/math.20231070
Zhongci Hang, Xiang Li, D. Yan
{"title":"Mixed radial-angular bounds for Hardy-type operators on Heisenberg group","authors":"Zhongci Hang, Xiang Li, D. Yan","doi":"10.3934/math.20231070","DOIUrl":"https://doi.org/10.3934/math.20231070","url":null,"abstract":"In this paper, we study $ n $-dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg group and obtain their sharp bounds by using the rotation method. Furthermore, the sharp bounds of $ n $-dimensional weighted Hardy operator and weighted Cesàro operator are also obtained.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41319140","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: 1
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