发布求助
文献互助 智能选刊 最新文献

Acta Mathematicae Applicatae Sinica, English Series最新文献

筛选
英文 中文
A New Fundamental Theorem for the Hypergeometric Difference Equation on Non-uniform Lattices and Its Application 非均匀格上超几何差分方程的一个新基本定理及其应用
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-22 DOI: 10.1007/s10255-026-0017-1
Jin-fa Cheng
{"title":"A New Fundamental Theorem for the Hypergeometric Difference Equation on Non-uniform Lattices and Its Application","authors":"Jin-fa Cheng","doi":"10.1007/s10255-026-0017-1","DOIUrl":"10.1007/s10255-026-0017-1","url":null,"abstract":"<div><p>In this article, using the method of Euler integral transforms, we obtain a new fundamental theorem for the Nikiforov-Uvarov-Suslov difference equation of hypergeometric type, which are essentially new results and their expressions are different from the Suslov Theorem. Meanwhile, we give two important examples to illustrate the applications of the new fundamental theorem. These indicate that the new fundamental theorem gives more general special functions which include the well-known Askey-Wilson polynomial as their particular case.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"404 - 422"},"PeriodicalIF":0.9,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A Nonmonotone Smoothing Newton Method for Systems of Nonlinear Equalities and Inequalities Based on a New Smoothing Function 基于新光滑函数的非线性等式和不等式系统的非单调光滑牛顿法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-22 DOI: 10.1007/s10255-026-0018-0
Liu-yang Yuan, Fei Cui, Zhong-ping Wan, Zi-yue Wang
{"title":"A Nonmonotone Smoothing Newton Method for Systems of Nonlinear Equalities and Inequalities Based on a New Smoothing Function","authors":"Liu-yang Yuan,&nbsp;Fei Cui,&nbsp;Zhong-ping Wan,&nbsp;Zi-yue Wang","doi":"10.1007/s10255-026-0018-0","DOIUrl":"10.1007/s10255-026-0018-0","url":null,"abstract":"<div><p>In this paper, a nonmonotone smoothing Newton method is proposed for solving systems of non-linear equalities and inequalities. By constructing a new smoothing function, the problem is approximated via a family of parameterized smooth equations. A smoothing Newton method is developed for solving the systems of nonlinear equalities and inequalities by adopting a modified nonmontone line search technique. And the global and local superlinear convergence of the algorithm are proved under mild assumptions. The preliminary numerical results are reported.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"392 - 403"},"PeriodicalIF":0.9,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A New Metric for the Recoverability of Sparse Signals 稀疏信号可恢复性的新度量
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-22 DOI: 10.1007/s10255-026-0025-1
Hai-feng Liu, Ji-gen Peng
{"title":"A New Metric for the Recoverability of Sparse Signals","authors":"Hai-feng Liu,&nbsp;Ji-gen Peng","doi":"10.1007/s10255-026-0025-1","DOIUrl":"10.1007/s10255-026-0025-1","url":null,"abstract":"<div><p>Sparse signal recovery is one of the key problems in the field of compressive sensing. Restricted isometry property (RIP) is an important metric for the recoverability of sparse signals. It can provide explicit and simple sufficient conditions for the convergences of many reconstruction methods such as orthogonal matching pursuit, basis pursuit (BP), and hard thresholding pursuit. However, RIP has several drawbacks. One drawback is that RIP can not be preserved for the scalar rescaling. In order to overcome this drawback, a new metric named combinatorial condition number is defined in this paper. It is invariant for the scalar rescaling. Subsequently, the Wielandt inequality and robust null space property are utilized to present a sufficient condition for the sparse signal recovery by BP in terms of the new metric.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"462 - 473"},"PeriodicalIF":0.9,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stabilization for the Problem of Transmission of Wave Equation with Dynamical Boundary Conditions 具有动力边界条件的波动方程传输问题的镇定
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-22 DOI: 10.1007/s10255-026-0023-3
Zhi-ling Guo, Shu-gen Chai
{"title":"Stabilization for the Problem of Transmission of Wave Equation with Dynamical Boundary Conditions","authors":"Zhi-ling Guo,&nbsp;Shu-gen Chai","doi":"10.1007/s10255-026-0023-3","DOIUrl":"10.1007/s10255-026-0023-3","url":null,"abstract":"<div><p>In this paper, we address exponential stabilization of transmission problem of the wave equation with dynamical boundary conditions. We consider waves passing from a medium in which the speed is <i>a</i><sub>1</sub> into a medium in which the speed <i>a</i><sub>2</sub> in the case of total internal reflection and show that such a system can be controlled by introducing both dynamical boundary control along the exterior boundary and distributed control near the transmission boundary. We obtain that the system is exponential stabilization without any restriction on <i>a</i><sub>1</sub>, <i>a</i><sub>2</sub> and the transmission boundary.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"423 - 435"},"PeriodicalIF":0.9,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Path-Connectivity of Hierarchical Cubic Networks 层次三次网络的路径连通性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-02 DOI: 10.1007/s10255-024-1138-z
Ruo-xuan Li, Rong-xia Hao, Zhen He, Young Soo Kwon
{"title":"The Path-Connectivity of Hierarchical Cubic Networks","authors":"Ruo-xuan Li,&nbsp;Rong-xia Hao,&nbsp;Zhen He,&nbsp;Young Soo Kwon","doi":"10.1007/s10255-024-1138-z","DOIUrl":"10.1007/s10255-024-1138-z","url":null,"abstract":"<div><p>Let <i>G</i> be a simple connected graph with vertex set <i>V</i>(<i>G</i>). For <i>S</i> ⊆ <i>V</i>(<i>G</i>), let <i>π</i><sub><i>G</i></sub>(<i>S</i>) denote the maximum cardinality of internally disjoint <i>S</i>-paths in <i>G</i>. For an integer <i>k</i> with <i>k</i> ≥ 2, the <i>k</i>-path-connectivity <i>π</i><sub><i>k</i></sub>(<i>G</i>) is defined as the minimum <i>π</i><sub><i>G</i></sub>(<i>S</i>) over all <i>k</i>-subsets <i>S</i> of <i>V</i>(<i>G</i>). It is proved that deciding whether <i>π</i><sub><i>G</i></sub>(<i>S</i>) ≥ <i>r</i> is NP-complete problem [Graphs Combin. 37 (2021) 2521–2533]. The hypercube <i>Q</i><sub><i>n</i></sub> is the famous Cayley graph, which is widely studied in the research of developing multiprocessor systems. The hierarchical cubic network <i>HCN</i><sub><i>n</i></sub> is given in [IEEE TPDS 6 (1995) 427–435] which takes <i>Q</i><sub><i>n</i></sub> as building clusters and emulates the desirable properties very efficiently. In this paper, we consider the 3-path-connectivity of <i>HCN</i><sub><i>n</i></sub> and prove that <span>(pi_{3}(HCN_{n})=lfloor {3n+2 over 4}rfloor)</span> by constructing multiple internally disjoint <i>S</i>-paths. This result improves the 3-tree-connectivity [Discrete Appl. Math. 322 (2022) 203–209] from trees to paths.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"270 - 284"},"PeriodicalIF":0.9,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Local Regularity Criteria for the 3D Co-rotational Beris-Edwards System in Lorentz Spaces Lorentz空间中三维共旋转Beris-Edwards系统的局部正则性判据
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-02 DOI: 10.1007/s10255-024-1068-9
Zhong-bao Zuo
{"title":"Local Regularity Criteria for the 3D Co-rotational Beris-Edwards System in Lorentz Spaces","authors":"Zhong-bao Zuo","doi":"10.1007/s10255-024-1068-9","DOIUrl":"10.1007/s10255-024-1068-9","url":null,"abstract":"<div><p>In this paper, we present some new regularity criteria for suitable weak solutions to the 3D co-rotational Beris-Edwards system. First, we prove that suitable weak solutions are regular if the scaled <i>L</i><sup><i>p</i>;<i>q</i></sup>-norm of the velocity field or gradient of velocity is small with <span>({2over p}+{3over q}=2,1 &lt; p leq infty)</span>. Next, we give <i>ε</i>-regularity criteria in terms of velocity field <b>u</b> and director field <b>Q</b> in Lorentz spaces, which extends the results obtained by Wang et al (J. Evol. Equ. 21: 1627–1650, 2021) for Navier-Stokes equations.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"163 - 178"},"PeriodicalIF":0.9,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Solution of Static Bogomol’nyi-Prasad-Sommerfield Bimagnetic Monopoles 静态Bogomol 'nyi-Prasad-Sommerfield双磁单极子的解
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-02 DOI: 10.1007/s10255-025-0077-7
Rui-feng Zhang, Jing-shuang Yang
{"title":"Solution of Static Bogomol’nyi-Prasad-Sommerfield Bimagnetic Monopoles","authors":"Rui-feng Zhang,&nbsp;Jing-shuang Yang","doi":"10.1007/s10255-025-0077-7","DOIUrl":"10.1007/s10255-025-0077-7","url":null,"abstract":"<div><p>In this paper, we study bimagnetic monopoles which are topological solitons in three space dimensions. We prove the existence and uniqueness of solution of a static and radially symmetric Bogomol’nyi-Prasad-Sommerfield (BPS) bimagnetic monopoles formulated and presented in a recent study of Bazeia, Marques and Menezes. Our method is based on a dynamical shooting approach depending on two shooting parameters which provides an effective framework for constructing the BPS equations in magnetic core and magnetic shell. Furthermore, we obtain the relation between the BPS and non-BPS monopoles solutions, and properties of static BPS monopoles solutions.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"240 - 253"},"PeriodicalIF":0.9,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Laguerre Series Expansion for Scale Functions and Its Applications in Risk Theory 尺度函数的拉盖尔级数展开及其在风险理论中的应用
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-02 DOI: 10.1007/s10255-024-1066-y
Jia-yi Xie, Zhen-yu Cui, Zhi-min Zhang
{"title":"Laguerre Series Expansion for Scale Functions and Its Applications in Risk Theory","authors":"Jia-yi Xie,&nbsp;Zhen-yu Cui,&nbsp;Zhi-min Zhang","doi":"10.1007/s10255-024-1066-y","DOIUrl":"10.1007/s10255-024-1066-y","url":null,"abstract":"<div><p>We propose an exact explicit closed-form Laguerre series expansion formula to compute the <i>q</i>-scale function of a spectrally negative Lévy process (SNLP), and other functions associated to the scale function for the first time. The proposed closed-form formula for the scale function has many applications in applied probability and in particular in the Lévy insurance risk theory. We shall show that the new series expansion formulas can be used to express the expected discounted penalty functions, the moments of the present value of total dividend payments as well as the time value of Parisian ruin in the Lévy risk models.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"146 - 162"},"PeriodicalIF":0.9,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Ergodicity of a Special Class of Markov Chains 一类特殊马尔可夫链的遍历性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-02 DOI: 10.1007/s10255-024-1141-4
Xin-yu Hu, Ping He
{"title":"Ergodicity of a Special Class of Markov Chains","authors":"Xin-yu Hu,&nbsp;Ping He","doi":"10.1007/s10255-024-1141-4","DOIUrl":"10.1007/s10255-024-1141-4","url":null,"abstract":"<div><p>The paper focuses on the ergodicity of a <i>ϕ</i>-irreducible Markov chain {<i>X</i><sub><i>n</i></sub>, <i>n</i> ≥ 0} that is generated iteratively through the expression <i>X</i><sub><i>n</i>+1</sub> = <i>f</i>(<i>X</i><sub><i>n</i></sub>) + <i>ϵ</i><sub><i>n</i>+1</sub>. Here, {<i>ϵ</i><sub><i>n</i></sub>, <i>n</i> ≥ 1} is a sequence of independent identically distributed centered random variables, <i>f</i>(·) is an ℝ-valued continuous function, and <i>X</i><sub>0</sub> is arbitrary but independent of {<i>ϵ</i><sub><i>n</i></sub>, <i>n</i> ≥ 1}. Our main contribution is to provide necessary and sufficient conditions for the ergodicity of this special class of Markov chains. We also present a generalized approach for <i>f</i>(·) in the end.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"121 - 133"},"PeriodicalIF":0.9,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Two Nonmonotone Proximal Gradient Methods for Nonsmooth Optimization over the Stiefel Manifold Stiefel流形上非光滑优化的两种非单调近端梯度方法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-02 DOI: 10.1007/s10255-024-1065-z
Jin-chao Zhang, Juan Gao, Ya-kui Huang, Xin-wei Liu
{"title":"Two Nonmonotone Proximal Gradient Methods for Nonsmooth Optimization over the Stiefel Manifold","authors":"Jin-chao Zhang,&nbsp;Juan Gao,&nbsp;Ya-kui Huang,&nbsp;Xin-wei Liu","doi":"10.1007/s10255-024-1065-z","DOIUrl":"10.1007/s10255-024-1065-z","url":null,"abstract":"<div><p>We propose two nonmonotone retraction-based proximal gradient methods for solving a class of nonconvex nonsmooth optimization problems over the Stiefel manifold. The proposed methods are equipped with the descent direction obtained by a proximal mapping restricted in tangent space of the manifold and the Barzilai-Borwein stepsizes determined by two recent iteration points and the corresponding descent directions. By employing, respectively, the Grippo-Lampariello-Lucidi nonmonotone line search strategy and the Dai-Fletcher nonmonotone line search strategy, our proposed methods are proved to be globally convergent. Analysis on the iteration complexity for obtaining an ϵ-stationary solution is provided. Numerical results on the sparse principle component analysis problems demonstrate the efficiency of our methods.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"105 - 120"},"PeriodicalIF":0.9,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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：604180095
Book学术官方微信
小红书