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A Regularization Smoothing Newton Method for the Symmetric Cone Complementarity Problem with the Cartesian P0-property
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-025-0007-8
Xiang-jing Liu, San-yang Liu
{"title":"A Regularization Smoothing Newton Method for the Symmetric Cone Complementarity Problem with the Cartesian P0-property","authors":"Xiang-jing Liu,&nbsp;San-yang Liu","doi":"10.1007/s10255-025-0007-8","DOIUrl":"10.1007/s10255-025-0007-8","url":null,"abstract":"<div><p>In this paper, we consider the symmetric cone linear complementarity problem with the Cartesian <i>P</i><sub>0</sub>-property and present a regularization smoothing method with a nonmonotone line search to solve this problem. It has been demonstrated that the proposed method exhibits global convergence under the condition that the solution set of the complementarity problem is nonempty. This condition is less stringent than those that have appeared in some existing literature. We also show that the method has locally quadratic convergence under appropriate conditions. Some experimental results are reported to illustrate the efficiency of the proposed method.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"556 - 572"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749126","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
Global Existence and Boundedness for the Attraction-repulsion Keller-Segel Model with Volume Filling Effect
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-025-0020-y
Jian Deng
{"title":"Global Existence and Boundedness for the Attraction-repulsion Keller-Segel Model with Volume Filling Effect","authors":"Jian Deng","doi":"10.1007/s10255-025-0020-y","DOIUrl":"10.1007/s10255-025-0020-y","url":null,"abstract":"<div><p>This paper is concerned with the attraction-repulsion Keller-Segel model with volume filling effect. We consider this problem in a bounded domain Ω ⊂ ℝ<sup>3</sup> under zero-flux boundary condition, and it is shown that the volume filling effect will prevent overcrowding behavior, and no blow up phenomenon happen. In fact, we show that for any initial datum, the problem admits a unique global-in-time classical solution, which is bounded uniformly. Previous findings for the chemotaxis model with volume filling effect were derived under the assumption 0 ≤ <i>u</i><sub>0</sub>(<i>x</i>) ≤ 1 with <i>ρ</i>(<i>x,t</i>) ≡ 1. However, when the maximum size of the aggregate is not a constant but rather a function <i>ρ</i>(<i>x,t</i>), ensuring the boundedness of the solutions becomes significantly challenging. This introduces a fundamental difficulty into the analysis.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"513 - 524"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749166","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 Lindley-Weibull Distribution
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-025-0003-z
Jun-mei Jia, Zai-zai Yan, Xiu-yun Peng
{"title":"The Lindley-Weibull Distribution","authors":"Jun-mei Jia,&nbsp;Zai-zai Yan,&nbsp;Xiu-yun Peng","doi":"10.1007/s10255-025-0003-z","DOIUrl":"10.1007/s10255-025-0003-z","url":null,"abstract":"<div><p>In this paper, a new distribution named the Lindley-Weibull distribution which combines Lindley and Weibull distributions by using the method of T-X family is introduced. This distribution offers a more flexible model for lifetime data. We study its statistical properties include the shapes of density and hazard rate, residual and reversed residual lifetime, moment, moment generating functions, conditional moment, conditional moment generating, quantiles functions, mean deviations, Rényi entropy, Bonferroni and Loren curves. The distribution is capable of modeling increasing, decreasing, upside-down bathtub and decreasing-increasing-decreasing hazard rate functions. The method of maximum likelihood is adopted for estimating the model parameters. The potentiality of the new model is illustrated by means of one real data set.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"588 - 600"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749197","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
Time-dependent Global Attractors for the Nonclassical Diffusion Equations with Fading Memory
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-024-1036-4
Yu-ming Qin, Xiao-ling Chen
{"title":"Time-dependent Global Attractors for the Nonclassical Diffusion Equations with Fading Memory","authors":"Yu-ming Qin,&nbsp;Xiao-ling Chen","doi":"10.1007/s10255-024-1036-4","DOIUrl":"10.1007/s10255-024-1036-4","url":null,"abstract":"<div><p>In this paper, we discuss the long-time behavior of solutions to the nonclassical diffusion equation with fading memory when the nonlinear term <i>f</i> satisfies critical exponential growth and the external force <i>g</i>(<i>x</i>) ∈ <i>L</i><sup>2</sup>(Ω). In the framework of time-dependent spaces, we verify the existence of absorbing sets and the asymptotic compactness of the process, then we obtain the existence of the time-dependent global attractor <span>({mathscr A}={{A_{t}}}_{tin{mathbb R}})</span> in <i>ℳ</i><sub><i>t</i></sub>. Furthermore, we achieve the regularity of <span>({mathscr A})</span>, that is, <i>A</i><sub><i>t</i></sub> is bounded in <i>ℳ</i><span>\u0000 <sup>1</sup><sub><i>t</i></sub>\u0000 \u0000 </span> with a bound independent of <i>t</i>.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"498 - 512"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749165","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
Analogy of Fan-type Condition on Weak Cycle Partition of Graphs
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-025-0008-7
Xiao-dong Chen, Qing Ji, Zhi-quan Hu
{"title":"Analogy of Fan-type Condition on Weak Cycle Partition of Graphs","authors":"Xiao-dong Chen,&nbsp;Qing Ji,&nbsp;Zhi-quan Hu","doi":"10.1007/s10255-025-0008-7","DOIUrl":"10.1007/s10255-025-0008-7","url":null,"abstract":"<div><p>For a graph <i>G</i> of order <i>n</i> and a positive integer <i>k</i>, a <i>k</i>-weak cycle partition of <i>G</i>, called <i>k</i>-WCP, is a sequence of vertex disjoint subgraphs <i>H</i><sub>1</sub>, <i>H</i><sub>2</sub>, ⋯, <i>H</i><sub><i>k</i></sub> of <i>G</i> with <span>(bigcupnolimits_{i=1}^{k} V(H_{i})=V(G))</span>, where <i>H</i><sub><i>i</i></sub> is isomorphic to <i>K</i><sub>1</sub>, <i>K</i><sub>2</sub> or a cycle. Let <i>σ</i><sub>2</sub>(<i>G</i>) = min{<i>d</i>(<i>x</i>) + <i>d</i>(<i>y</i>): <i>xy</i> ∉ <i>E</i>(<i>G</i>), <i>x, y</i> ∈ <i>V</i>(<i>G</i>)}. Hu and Li [Discrete Math. 307(2007)] proved that if <i>G</i> is a graph of order <i>n</i> ≥ <i>k</i> + 12 with a <i>k</i>-WCP and <span>(sigma_{2}(G) geq {{2n+k-4} over 3})</span>, then <i>G</i> contains a <i>k</i>-WCP with at most one subgraph isomorphic to <i>K</i><sub>2</sub>. In this paper, we generalize their result on the analogy of Fan-type condition that <span>(max{{d(x),d(y)}} geq {{2n+k-4} over 6})</span> for each pair of nonadjacent vertices <i>x, y</i> ∈ <i>V</i>(<i>G</i>).</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"525 - 535"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749084","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
Adapted Runge-Kutta Methods for Nonlinear First-Order Delay BVPs with Time-variable Delay
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-024-1145-0
Cheng-jian Zhang, Yang Wang, Hao Han
{"title":"Adapted Runge-Kutta Methods for Nonlinear First-Order Delay BVPs with Time-variable Delay","authors":"Cheng-jian Zhang,&nbsp;Yang Wang,&nbsp;Hao Han","doi":"10.1007/s10255-024-1145-0","DOIUrl":"10.1007/s10255-024-1145-0","url":null,"abstract":"<div><p>This paper deals with numerical solutions for nonlinear first-order boundary value problems (BVPs) with time-variable delay. For solving this kind of delay BVPs, by combining Runge-Kutta methods with Lagrange interpolation, a class of adapted Runge-Kutta (ARK) methods are developed. Under the suitable conditions, it is proved that ARK methods are convergent of order min{<i>p, μ</i>+<i>ν</i>+1}, where <i>p</i> is the consistency order of ARK methods and <i>μ, ν</i> are two given parameters in Lagrange interpolation. Moreover, a global stability criterion is derived for ARK methods. With some numerical experiments, the computational accuracy and global stability of ARK methods are further testified.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"400 - 413"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749199","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
Sharp Isolated Toughness Bound for Fractional (k, m)-Deleted Graphs 分数(k, m)-删除图的尖锐孤立韧性界
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-12-26 DOI: 10.1007/s10255-024-1067-x
Wei Gao, Wei-fan Wang, Yao-jun Chen
{"title":"Sharp Isolated Toughness Bound for Fractional (k, m)-Deleted Graphs","authors":"Wei Gao,&nbsp;Wei-fan Wang,&nbsp;Yao-jun Chen","doi":"10.1007/s10255-024-1067-x","DOIUrl":"10.1007/s10255-024-1067-x","url":null,"abstract":"<div><p>A graph <i>G</i> is a fractional (<i>k, m</i>)-deleted graph if removing any <i>m</i> edges from <i>G</i>, the resulting subgraph still admits a fractional <i>k</i>-factor. Let <i>k</i> ≥ 2 and <i>m</i> ≥ 1 be integers. Denote <span>(lfloor{2m over k}rfloor^{ast}=lfloor{2m over k}rfloor)</span> if <span>(2m over k)</span> is not an integer, and <span>(lfloor{2m over k}rfloor^{ast}=lfloor{2m over k}rfloor - 1)</span> if <span>(2m over k)</span> is an integer. In this paper, we prove that <i>G</i> is a fractional (<i>k, m</i>)-deleted graph if <i>δ</i>(<i>G</i>) ≥ <i>k</i> + <i>m</i> and isolated toughness meets </p><div><div><span>$$Ileft( G right) &gt; left{ {matrix{{3 - {1 over m},,,,,,,,,,,,,,,,,,,,,,,,,} &amp; {{text{if}},k = 2,{text{and}},m ge 3,} cr {k + {{{{leftlfloor {{{2m} over k}} rightrfloor }^*}} over {m + 1 - {{leftlfloor {{{2m} over k}} rightrfloor }^*}}},} &amp; {{text{otherwise}}.,,,,,,,,,,,,,,,,,,,,,} cr } } right.$$</span></div></div><p>Furthermore, we show that the isolated toughness bound is tight.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 1","pages":"252 - 269"},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889739","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
Riemann-Hilbert Problem and Multiple High-order Poles Solutions of the Focusing mKdV Equation with Nonzero Boundary Conditions 具有非零边界条件的聚焦mKdV方程的Riemann-Hilbert问题和多高阶解
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-12-26 DOI: 10.1007/s10255-024-1037-3
Zi-yi Wang, Shou-fu Tian, Jin-jie Yang
{"title":"Riemann-Hilbert Problem and Multiple High-order Poles Solutions of the Focusing mKdV Equation with Nonzero Boundary Conditions","authors":"Zi-yi Wang,&nbsp;Shou-fu Tian,&nbsp;Jin-jie Yang","doi":"10.1007/s10255-024-1037-3","DOIUrl":"10.1007/s10255-024-1037-3","url":null,"abstract":"<div><p>The focusing modified Korteweg-de Vries (mKdV) equation with multiple high-order poles under the nonzero boundary conditions is first investigated via developing a Riemann-Hilbert (RH) approach. We begin with the asymptotic property, symmetry and analyticity of the Jost solutions, and successfully construct the RH problem of the focusing mKdV equation. We solve the RH problem when 1/<i>S</i><sub>11</sub>(<i>k</i>) has a single high-order pole and multiple high-order poles. Furthermore, we derive the soliton solutions of the focusing mKdV equation which corresponding with a single high-order pole and multiple high-order poles, respectively. Finally, the dynamics of one- and two-soliton solutions are graphically discussed.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 1","pages":"234 - 251"},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889741","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
Least Square Estimation for Multiple Functional Linear Model with Autoregressive Errors 具有自回归误差的多函数线性模型的最小二乘估计
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-12-26 DOI: 10.1007/s10255-024-1143-2
Meng Wang, Ming-liang Shu, Jian-jun Zhou, Si-xin Wu, Min Chen
{"title":"Least Square Estimation for Multiple Functional Linear Model with Autoregressive Errors","authors":"Meng Wang,&nbsp;Ming-liang Shu,&nbsp;Jian-jun Zhou,&nbsp;Si-xin Wu,&nbsp;Min Chen","doi":"10.1007/s10255-024-1143-2","DOIUrl":"10.1007/s10255-024-1143-2","url":null,"abstract":"<div><p>As an extension of linear regression in functional data analysis, functional linear regression has been studied by many researchers and applied in various fields. However, in many cases, data is collected sequentially over time, for example the financial series, so it is necessary to consider the autocorrelated structure of errors in functional regression background. To this end, this paper considers a multiple functional linear model with autoregressive errors. Based on the functional principal component analysis, we apply the least square procedure to estimate the functional coefficients and autoregression coefficients. Under some regular conditions, we establish the asymptotic properties of the proposed estimators. A simulation study is conducted to investigate the finite sample performance of our estimators. A real example on China’s weather data is applied to illustrate the validity of our model.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 1","pages":"84 - 98"},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889709","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 Dive Into the Asymptotic Analysis Theory: a Short Review from Fluids to Financial Markets 渐近分析理论的深入：从流体到金融市场的简短回顾
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-12-26 DOI: 10.1007/s10255-024-1144-1
Gabriele Sbaiz
{"title":"A Dive Into the Asymptotic Analysis Theory: a Short Review from Fluids to Financial Markets","authors":"Gabriele Sbaiz","doi":"10.1007/s10255-024-1144-1","DOIUrl":"10.1007/s10255-024-1144-1","url":null,"abstract":"<div><p>The asymptotic analysis theory is a powerful mathematical tool employed in the study of complex systems. By exploring the behavior of mathematical models in the limit as certain parameters tend toward infinity or zero, the asymptotic analysis facilitates the extraction of simplified limit-equations, revealing fundamental principles governing the original complex dynamics. We will highlight the versatility of asymptotic methods in handling different scenarios, ranging from fluid mechanics to biological systems and economic mechanisms, with a greater focus on the financial markets models. This short overview aims to convey the broad applicability of the asymptotic analysis theory in advancing our comprehension of complex systems, making it an indispensable tool for researchers and practitioners across different disciplines. In particular, such a theory could be applied to reshape intricate financial models (e.g., stock market volatility models) into more manageable forms, which could be tackled with time-saving numerical implementations.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 1","pages":"152 - 161"},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889713","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
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