发布求助
文献互助 智能选刊 最新文献

Results in Mathematics最新文献

筛选
英文 中文
Directional Compactness, Approximations and Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Constraints 有约束条件的非光滑矢量均衡问题的方向紧凑性、近似性和效率条件
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-13 DOI: 10.1007/s00025-024-02182-8
Tran Van Su
{"title":"Directional Compactness, Approximations and Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Constraints","authors":"Tran Van Su","doi":"10.1007/s00025-024-02182-8","DOIUrl":"https://doi.org/10.1007/s00025-024-02182-8","url":null,"abstract":"<p>In this article, we introduce and study a natural version of the directional compactness, which can be viewed as one of the effective tools for constructing sufficient conditions in nonsmooth vector equilibrium problems. We also provide the generalized Hadamard directional derivative notion which is closely related to a version of contingent derivative. The relation among the first-order approximations/the Clarke generalized Jacobian and the generalized Hadamard directional differentiability is formulated. Using the tool of approximations, a new version of the constraint qualification of the (CQ) type is proposed for establishing KT-type necessary nonsmooth optimality conditions via the generalized Hadamard directional derivatives for the weak/and strict efficiency of constrained nonsmooth vector equilibrium problems. As applications, we study a nonsmooth vector equilibrium problem with set, cone constraints using approximations and the constraint qualification (CQ).</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"15 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934904","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 Left T-Nilpotent Rings 论左 T 无蕴环
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-11 DOI: 10.1007/s00025-024-02187-3
Ryszard R. Andruszkiewicz, Marek Kȩpczyk
{"title":"On Left T-Nilpotent Rings","authors":"Ryszard R. Andruszkiewicz, Marek Kȩpczyk","doi":"10.1007/s00025-024-02187-3","DOIUrl":"https://doi.org/10.1007/s00025-024-02187-3","url":null,"abstract":"<p>It is shown that any ring being a sum of two left <i>T</i>-nilpotent subrings is left <i>T</i>-nilpotent. The paper contains the description of all the semigroups <i>S</i> such that an <i>S</i>-graded ring <span>(R=bigoplus _{sin S}A_s)</span> has the property that the left <i>T</i>-nilpotency of all subrings among the subgroups <span>(A_s)</span> of the additive group of <i>R</i> implies the left <i>T</i>-nilpotency of <i>R</i>. Furthermore, this result is extended to rings <i>R</i> being <i>S</i>-sums.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"195 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934902","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
Upper Triangular Operator Matrices and Stability of Their Various Spectra 上三角算子矩阵及其各种谱的稳定性
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-11 DOI: 10.1007/s00025-024-02181-9
Nikola Sarajlija
{"title":"Upper Triangular Operator Matrices and Stability of Their Various Spectra","authors":"Nikola Sarajlija","doi":"10.1007/s00025-024-02181-9","DOIUrl":"https://doi.org/10.1007/s00025-024-02181-9","url":null,"abstract":"<p>Denote by <span>(T_n^d(A))</span> an upper triangular operator matrix of dimension <span>(nin mathbb {N})</span> whose diagonal entries <span>(D_i, 1le ile n)</span>, are known, and <span>(A=(A_{ij})_{1le i&lt;jle n})</span> is an unknown tuple of operators. This article is aimed at investigation of defect spectrum <span>(mathcal {D}^{sigma _*}=bigcup _{i=1}^nsigma _*(D_i){setminus }sigma _*(T_n^d(A)))</span>, where <span>(sigma _*)</span> is a spectrum corresponding to various types of invertibility: (left, right) invertibility, (left, right) Fredholm invertibility, left/right Weyl invertibility. We give characterizations for each of the previous types, and provide some sufficent conditions for the stability of certain spectrum (the case <span>(mathcal {D}^{sigma _*}=emptyset )</span>). The results are proved for all matrix dimensions <span>(nge 2)</span>, and they hold in arbitrary Hilbert spaces without assuming separability, thus generalizing results from Wu and Huang (Ann Funct Anal 11(3):780–798, 2020; Acta Math Sin 36(7):783–796, 2020). We also retrieve a result from Bai et al. (J Math Anal Appl 434(2):1065–1076, 2016) in the case <span>(n=2)</span>, and we provide a precise form of the well known ‘filling in holes’ result from Han et al. (Proc Am Math Soc 128(1):119–123, 2000).</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"32 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934903","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
Geometric Methodology for Analyzing Timelike Curve Flows in Minkowski Space 分析闵科夫斯基空间中 Timelike 曲线流的几何方法论
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-11 DOI: 10.1007/s00025-024-02178-4
Mehmet Bektaş, Dae Won Yoon, Zühal Küçükarslan Yüzbaşı
{"title":"Geometric Methodology for Analyzing Timelike Curve Flows in Minkowski Space","authors":"Mehmet Bektaş, Dae Won Yoon, Zühal Küçükarslan Yüzbaşı","doi":"10.1007/s00025-024-02178-4","DOIUrl":"https://doi.org/10.1007/s00025-024-02178-4","url":null,"abstract":"<p>The present study introduces an innovative link between integrable equations and the motion of timelike curves within a three-dimensional Minkowski space. This study aims to establish an anology between the modified generalizations of the Heisenberg spin chain model equation, a complex Korteweg–de Vries equation, and the Ablowitz–Kaup–Newell–Segur hierarchy systems of real type, respectively. This is accomplished through the application of specific functions, which are derived based on the curvatures and torsions of three distinct curves and their corresponding Frenet frames in a 3-dimensional Minkowski space. Making use of this method, the geometric derivation of the integrable equation has been demonstrated with success.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"15 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934881","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 Bishop–Phelps–Bollobás Property for Weighted Holomorphic Mappings 加权全形映射的毕晓普-费尔普斯-波洛巴性质
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-11 DOI: 10.1007/s00025-024-02184-6
A. Jiménez-Vargas, M. I. Ramírez, Moisés Villegas-Vallecillos
{"title":"The Bishop–Phelps–Bollobás Property for Weighted Holomorphic Mappings","authors":"A. Jiménez-Vargas, M. I. Ramírez, Moisés Villegas-Vallecillos","doi":"10.1007/s00025-024-02184-6","DOIUrl":"https://doi.org/10.1007/s00025-024-02184-6","url":null,"abstract":"<p>Given an open subset <i>U</i> of a complex Banach space <i>E</i>, a weight <i>v</i> on <i>U</i> and a complex Banach space <i>F</i>, let <span>(H^infty _v(U,F))</span> denote the Banach space of all weighted holomorphic mappings from <i>U</i> into <i>F</i>, endowed with the weighted supremum norm. We introduce and study a version of the Bishop–Phelps–Bollobás property for <span>(H^infty _v(U,F))</span> (<span>(WH^infty )</span>-BPB property, for short). A result of Lindenstrauss type with sufficient conditions for <span>(H^infty _v(U,F))</span> to have the <span>(WH^infty )</span>-BPB property for every space <i>F</i> is stated. This is the case of <span>(H^infty _{v_p}(mathbb {D},F))</span> with <span>(pge 1)</span>, where <span>(v_p)</span> is the standard polynomial weight on <span>(mathbb {D})</span>. The study of the relations of the <span>(WH^infty )</span>-BPB property for the complex and vector-valued cases is also addressed as well as the extension of the cited property for mappings <span>(fin H^infty _v(U,F))</span> such that <i>vf</i> has a relatively compact range in <i>F</i>.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"49 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934735","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
Sturm’s Comparison Theorem for Classical Discrete Orthogonal Polynomials 经典离散正交多项式的斯特姆比较定理
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-08 DOI: 10.1007/s00025-024-02180-w
A. Suzuki
{"title":"Sturm’s Comparison Theorem for Classical Discrete Orthogonal Polynomials","authors":"A. Suzuki","doi":"10.1007/s00025-024-02180-w","DOIUrl":"https://doi.org/10.1007/s00025-024-02180-w","url":null,"abstract":"<p>In an earlier work (Castillo et al. in J Math Phys 61:103505, 2020), it was established, from a hypergeometric-type difference equation, tractable sufficient conditions for the monotonicity with respect to a real parameter of zeros of classical discrete orthogonal polynomials on linear, quadratic, q-linear, and q-quadratic grids. In this work, we continue with the study of zeros of these polynomials by giving a comparison theorem of Sturm type. As an application, we analyze in a simple way some relations between the zeros of certain classical discrete orthogonal polynomials.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"43 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934734","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
Blow-up Prevention by Logistic Damping in a Chemotaxis-May-Nowak Model for Virus Infection 在病毒感染的趋化-梅-诺瓦克模型中通过逻辑阻尼防止炸裂
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-08 DOI: 10.1007/s00025-024-02183-7
Yan Li, Qingshan Zhang
{"title":"Blow-up Prevention by Logistic Damping in a Chemotaxis-May-Nowak Model for Virus Infection","authors":"Yan Li, Qingshan Zhang","doi":"10.1007/s00025-024-02183-7","DOIUrl":"https://doi.org/10.1007/s00025-024-02183-7","url":null,"abstract":"<p>In this paper, we study the no-flux boundary initial-boundary problem for a three-component reaction-diffusion system originating from the classical May-Nowak model for viral infection </p><span>$$begin{aligned} {left{ begin{array}{ll} u_t=Delta u-chi nabla cdot (unabla v)+kappa -u-uw-mu u^{alpha }, v_t=Delta v-v+uw, w_t=Delta w-w+v end{array}right. } end{aligned}$$</span><p>in a smoothly bounded domain <span>(Omega subset {mathbb {R}}^n)</span>, <span>(nge 1)</span>. It is shown that for any <span>(kappa &gt;0)</span>, <span>(mu &gt;0)</span> and sufficiently regular nonnegative initial data <span>((u_0,v_0,w_0))</span>, the system possesses a unique nonnegative global bounded classical solution provided </p><span>$$begin{aligned} alpha &gt;frac{n+2}{2}. end{aligned}$$</span><p>Moreover, we show the large time behavior of the solution with respect to the size of <span>(kappa )</span>. More precisely, we prove that</p><ul>\u0000<li>\u0000<p>if <span>(kappa &lt;1+mu )</span>, there exists <span>(chi _1^*)</span> such that if <span>(|chi |le chi _1^*)</span>, then the solution satisfies </p><span>$$begin{aligned} u(cdot , t)rightarrow u_*, v(cdot , t)rightarrow 0 text{ and } w(cdot , t)rightarrow 0quad text{ as } trightarrow infty end{aligned}$$</span><p> in <span>(L^{infty }(Omega ))</span> exponentially, where <span>(u_*)</span> is the solution of algebraic equation </p><span>$$begin{aligned} kappa -y-mu y^{alpha }=0; end{aligned}$$</span>\u0000</li>\u0000<li>\u0000<p>if <span>(kappa &gt;1+mu )</span>, then there exists <span>(chi _2^*)</span> with the property that if <span>(|chi |le chi _2^*)</span>, then the solution fulfills that </p><span>$$begin{aligned} u(cdot , t)rightarrow 1, v(cdot , t)rightarrow kappa -1-mu text{ and } w(cdot , t)rightarrow kappa -1-mu quad text{ as } trightarrow infty end{aligned}$$</span><p> in <span>(L^{infty }(Omega ))</span>.</p>\u0000</li>\u0000</ul>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"132 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140934797","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
Contractive Multivariate Zipper Fractal Interpolation Functions 收缩多变量拉链分形插值函数
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-04 DOI: 10.1007/s00025-024-02177-5
Radu Miculescu, R. Pasupathi
{"title":"Contractive Multivariate Zipper Fractal Interpolation Functions","authors":"Radu Miculescu, R. Pasupathi","doi":"10.1007/s00025-024-02177-5","DOIUrl":"https://doi.org/10.1007/s00025-024-02177-5","url":null,"abstract":"<p>In this paper we introduce a new general multivariate fractal interpolation scheme using elements of the zipper methodology. Under the assumption that the corresponding Read-Bajraktarevic operator is well-defined, we enlarge the previous frameworks occurring in the literature, considering the constitutive functions of the iterated function system whose attractor is the graph of the interpolant to be just contractive in the last variable (so, in particular, they can be Banach contractions, Matkowski contractions, or Meir-Keeler contractions in the last variable). The main difficulty that should be overcome in this multivariate framework is the well definedness of the above mentioned operator. We provide three instances when it is guaranteed. We also display some examples that emphasize the generality of our scheme.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"174 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140889214","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
Nonlinear Eigenvalue Problems for (p, 2)-Equations and Laplace Equations with Perturbations 有扰动的（p，2）方程和拉普拉斯方程的非线性特征值问题
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-04-30 DOI: 10.1007/s00025-024-02176-6
Krzysztof Bień
{"title":"Nonlinear Eigenvalue Problems for (p, 2)-Equations and Laplace Equations with Perturbations","authors":"Krzysztof Bień","doi":"10.1007/s00025-024-02176-6","DOIUrl":"https://doi.org/10.1007/s00025-024-02176-6","url":null,"abstract":"<p>We consider two types of nonlinear eigenvalue problems involving Laplace and <i>p</i>-Laplace operators <span>((p&gt;2))</span>. The main result establishes the existence of at least two nontrivial weak solutions in the case of the perturbed equation and the existence of a continuous spectrum in the case of the (<i>p</i>, 2)-equation. In both cases, variational methods play a central role in our arguments.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140830990","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
Strong Converse Inequality for Weighted Approximation of Functions by the Szász–Mirakjan–Kantorovich Operator 用 Szász-Mirakjan-Kantorovich 算子对函数进行加权逼近的强反演不等式
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-04-30 DOI: 10.1007/s00025-024-02179-3
Ivan Gadjev, Parvan E. Parvanov, Rumen Uluchev
{"title":"Strong Converse Inequality for Weighted Approximation of Functions by the Szász–Mirakjan–Kantorovich Operator","authors":"Ivan Gadjev, Parvan E. Parvanov, Rumen Uluchev","doi":"10.1007/s00025-024-02179-3","DOIUrl":"https://doi.org/10.1007/s00025-024-02179-3","url":null,"abstract":"<p>We investigate the weighted approximation of functions in <span>(L_p)</span>-norm by Kantorovich modifications of the classical Szász-Mirakjan operator, with weights of type <span>((1+x)^{alpha })</span>, <span>(alpha in {mathbb {R}})</span>. By using an appropriate <i>K</i>-functional we prove a strong converse inequality for the weighted error of approximation and characterize it exactly. We prove a Voronovskaya and Bernstein-type inequalities for the Szász-Mirakjan–Kantorovich operator.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"173 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140831061","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