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Acta Mathematicae Applicatae Sinica, English Series最新文献

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Equilibrium Joining Strategies of Retrial Queueing Systems with Two-phase Service and Priority-purchasing 具有两阶段服务和优先级购买的重审排队系统的均衡加入策略
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-04-01 DOI: 10.1007/s10255-024-1064-0
Fan Xu, Rui-ling Tian, Qi Shao
{"title":"Equilibrium Joining Strategies of Retrial Queueing Systems with Two-phase Service and Priority-purchasing","authors":"Fan Xu,&nbsp;Rui-ling Tian,&nbsp;Qi Shao","doi":"10.1007/s10255-024-1064-0","DOIUrl":"10.1007/s10255-024-1064-0","url":null,"abstract":"<div><p>This paper considers the customer’s equilibrium joining-balking behavior in a retrial queue with two-phase service and priority-purchasing. If the arriving customer finds the server busy, the customer can make three choices (joining the orbit, purchasing the priority or balking) based on different levels of the system information. We consider two cases: the partially observable case and the fully unobservable case. The customer’s equilibrium strategy for the partially observable case and the fully unobservable case are derived. Then, an algorithm is developed to solve the optimal fee that maximizes the service provider’s profit. Finally, the influence of system parameters on performance measures, equilibrium joining strategies and the service provider’s profits is illustrated by numerical examples.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"489 - 511"},"PeriodicalIF":0.9,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579593","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
Existence of Multiple Normalized Solutions for Schrödinger-Choquard Equation with Mixed Nonlinearities 混合非线性Schrödinger-Choquard方程多个归一化解的存在性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-04-01 DOI: 10.1007/s10255-024-1086-7
Li-qin Tang, Li Wang, Jun Wang
{"title":"Existence of Multiple Normalized Solutions for Schrödinger-Choquard Equation with Mixed Nonlinearities","authors":"Li-qin Tang,&nbsp;Li Wang,&nbsp;Jun Wang","doi":"10.1007/s10255-024-1086-7","DOIUrl":"10.1007/s10255-024-1086-7","url":null,"abstract":"<div><p>This paper considers the existence of multiple normalized solutions of the following Schrödinger-Choquard equation </p><div><div><span>$$begin{cases}- Delta u = lambda u + k(varepsilon x),(I_{alpha} * |u|^{q}),|u|^{q-2}u + mu (I_{alpha} * |u|^{p}),|u|^{p-2}u, quad x in mathbb{R}^N, displaystyle int_{mathbb{R}^N} |u|^2 , dx = c^2, qquadqquadqquadqquadqquadqquadqquadqquadqquadqquad x in mathbb{R}^N.end{cases}$$</span></div></div><p> where <i>c, ε, μ</i> &gt; 0, <i>N</i> ≥ 3, <i>α</i>, ∈ (0; <i>N</i>), <span>({{N + alpha} over N} &lt; q &lt; 1 + {{alpha + 2} over N} &lt; p le {{N + alpha } over {N - 2}})</span>, λ ∈ ℝ is a Lagrange multiplier which is unknown, <i>I</i><sub><i>α</i></sub> is the Riesz potential, <i>k</i>:ℝ<sup><i>N</i></sup> → [0; ∞) is a continuous and positive function. When <i>ε</i> is small enough, we prove that the numbers of normalized solutions are at least the numbers of global maximum points of <i>k</i> by Ekeland’s variational principle and truncated skill.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"531 - 551"},"PeriodicalIF":0.9,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579594","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 and Parallel Finite Element Algorithms Based on Two-grid Discretizations for the Unsteady MHD Equations with Low Electromagnetic Reynolds Number 低电磁雷诺数非定常MHD方程的两网格离散化局部和并行有限元算法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-04-01 DOI: 10.1007/s10255-024-1085-8
Shi-lin Mi, Guang-zhi Du, Yao Rong, Li-yun Zuo
{"title":"Local and Parallel Finite Element Algorithms Based on Two-grid Discretizations for the Unsteady MHD Equations with Low Electromagnetic Reynolds Number","authors":"Shi-lin Mi,&nbsp;Guang-zhi Du,&nbsp;Yao Rong,&nbsp;Li-yun Zuo","doi":"10.1007/s10255-024-1085-8","DOIUrl":"10.1007/s10255-024-1085-8","url":null,"abstract":"<div><p>This paper mainly presents and studies some local and parallel finite element methods for the unsteady magnetohydrodynamic equations with low electromagnetic Reynolds number. Firstly, both the semi discrete and fully discrete local algorithms are provided and investigated, and the theoretical tool crucial to the analysis of the fully discrete local algorithm is obtained. Subsequently, we generalize the fully discrete local algorithm to the fully discrete parallel algorithm. At the end, some numerical experiments are provided to validate the effectiveness and efficiency of our algorithms.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"512 - 530"},"PeriodicalIF":0.9,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579597","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
Fast Algorithm for Toeplitz Matrix Recovery via a Hybrid Thresholding Operator 基于混合阈值算子的Toeplitz矩阵快速恢复算法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-03-10 DOI: 10.1007/s10255-026-0024-2
Chuanlong Wang, Jie Guo
{"title":"Fast Algorithm for Toeplitz Matrix Recovery via a Hybrid Thresholding Operator","authors":"Chuanlong Wang,&nbsp;Jie Guo","doi":"10.1007/s10255-026-0024-2","DOIUrl":"10.1007/s10255-026-0024-2","url":null,"abstract":"<div><p>In this paper, an efficient algorithm is proposed for Toeplitz matrix recovery via hybrid thresholding operator. The algorithm is based on the mean-value augmented Lagrangian multiplier algorithm and the singular values are processed by hybrid singular value threshold operator. The new algorithm ensures that the matrix generated by the iteration has a Toeplitz structure, which reduces the calculation time and obtains a more accurate Toeplitz matrix. The convergence of the new algorithm is discussed under certain assumptions. Numerical experiments show that the new algorithm achieves lower CPU time than the mean-value augmented Lagrangian multiplier algorithm, smooth augmented Lagrangian multiplier algorithm, and augmented Lagrangian multiplier algorithm.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"436 - 449"},"PeriodicalIF":0.9,"publicationDate":"2026-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579397","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 Central Limit Theorem for Stochastic Volterra Equations with Singular Kernels 奇异核随机Volterra方程的中心极限定理
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-29 DOI: 10.1007/s10255-026-0006-4
Huijie Qiao
{"title":"The Central Limit Theorem for Stochastic Volterra Equations with Singular Kernels","authors":"Huijie Qiao","doi":"10.1007/s10255-026-0006-4","DOIUrl":"10.1007/s10255-026-0006-4","url":null,"abstract":"<div><p>This work concerns stochastic Volterra equations with singular kernels. Under the suitable conditions, we prove the central limit theorem for them. Moreover, we apply our result to stochastic Volterra equations with the kernels of fractional Brownian motions with the Hurst parameter <i>H</i> ∈ (0, 1).</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 4","pages":"1301 - 1311"},"PeriodicalIF":0.9,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149027642","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
Stationary Distribution of a Stochastic Hybrid Model with Fear: a Markov Semigroup Theory 具有恐惧的随机混合模型的平稳分布：一个马尔可夫半群理论
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-29 DOI: 10.1007/s10255-026-0008-2
Hao-kun Qi, Bing Liu, Shi Li
{"title":"Stationary Distribution of a Stochastic Hybrid Model with Fear: a Markov Semigroup Theory","authors":"Hao-kun Qi,&nbsp;Bing Liu,&nbsp;Shi Li","doi":"10.1007/s10255-026-0008-2","DOIUrl":"10.1007/s10255-026-0008-2","url":null,"abstract":"<div><p>In this paper, we investigate the stationary distribution of a novel stochastic hybrid predator-prey model with fear effect and Beddington-DeAngelis functional response. Based on Markov semigroup theory, the existence of asymptotically stable stationary distribution of stochastic hybrid system is established, which can converge in <i>L</i><sup>1</sup> to an invariant density under appropriate conditions. Moreover, we derive sufficient conditions for extinction and persistence of prey and predator populations in the stochastic hybrid model.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"337 - 352"},"PeriodicalIF":0.9,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579549","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 Sequential Search Algorithm to Solve Airplane Refueling Problem 求解飞机加油问题的顺序搜索算法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-29 DOI: 10.1007/s10255-026-0020-6
Jin-chuan Cui, Xiao-ya Li
{"title":"The Sequential Search Algorithm to Solve Airplane Refueling Problem","authors":"Jin-chuan Cui,&nbsp;Xiao-ya Li","doi":"10.1007/s10255-026-0020-6","DOIUrl":"10.1007/s10255-026-0020-6","url":null,"abstract":"<div><p>Airplane refueling problem is a nonlinear unconstrained optimization problem with <i>n</i>! feasible solutions. Given a fleet of <i>n</i> airplanes with mid-air refueling technique, the question is to find the best refueling policy to make the last remaining airplane travel the farthest. At first, we proposed the definition of sequential feasible solution. We proved that if an airplane refueling instance has feasible solutions, it must have sequential feasible solutions; and the optimal feasible solution must be the optimal sequential feasible solution. We proposed the <i>sequential search algorithm</i> which aims to seek out all of the sequential feasible solutions and to search for the maximal sequential feasible solution by bubble sorting all of the sequential feasible solutions. We observed that the number of the sequential feasible solutions will change to grow at a polynomial rate when <i>n</i> is greater than an inflection point <i>N</i>. Moreover, we built an efficient computability scheme, according to which we could forecast within a polynomial time the computational complexity of the sequential search algorithm that runs on any given airplane refueling instance.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"552 - 568"},"PeriodicalIF":0.9,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579550","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
Statistical Estimations for Non-Ergodic Vasicek Model Driven by Gaussian Processes 高斯过程驱动的非遍历Vasicek模型的统计估计
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-29 DOI: 10.1007/s10255-026-0005-5
Yong Chen, Wu-jun Gao, Ying Li
{"title":"Statistical Estimations for Non-Ergodic Vasicek Model Driven by Gaussian Processes","authors":"Yong Chen,&nbsp;Wu-jun Gao,&nbsp;Ying Li","doi":"10.1007/s10255-026-0005-5","DOIUrl":"10.1007/s10255-026-0005-5","url":null,"abstract":"<div><p>We study the joint asymptotic distribution of the least squares estimator of the parameter (<i>θ, μ</i>) in non-ergodic Vasicek models driven by seven specific Gaussian processes. To facilitate the proofs, we derive the inner product formulas of the canonical Hilbert spaces associated to the seven specific Gaussian processes. The integration by parts for normalized bounded variation functions is essential to the inner product formulas. We apply the inner product formulas of the seven Gaussian processes to check the set of conditions of Es-Sebaiy, Es.Sebaiy (2021).</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 4","pages":"1043 - 1067"},"PeriodicalIF":0.9,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149028962","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
Large Time Behaviour of Weak Solutions to the Surface Growth Model 表面生长模型弱解的大时间行为
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-01-29 DOI: 10.1007/s10255-026-0001-9
Jia-qi Yang, Wen-xuan Zhu
{"title":"Large Time Behaviour of Weak Solutions to the Surface Growth Model","authors":"Jia-qi Yang,&nbsp;Wen-xuan Zhu","doi":"10.1007/s10255-026-0001-9","DOIUrl":"10.1007/s10255-026-0001-9","url":null,"abstract":"<div><p>The one-dimensional scalar surface growth model, arising from the physical process of molecular epitaxy, shares many striking similarities with the three-dimensional incompressible NavierStokes equations. While significant results exist regarding the existence and regularity of solutions for this model, the large-time behavior of solutions remains unexplored, to the best of our knowledge. This paper aims to establish the first decay result for weak solutions. We prove that there exists a weak solution <i>u</i> satisfying </p><div><div><span>$$Vert{u}Vert_{2}lesssim(1+t)^{1over{8}}.$$</span></div></div><p> Furthermore, we demonstrate that this decay rate is sharp by constructing initial data for which the corresponding weak solution <i>u</i> satisfies </p><div><div><span>$$Vert{u}Vert_{2}gtrsim(1+t)^{1over{8}}.$$</span></div></div></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 4","pages":"1343 - 1352"},"PeriodicalIF":0.9,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149027665","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 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
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