数学最新文献

{"title":"The nonlinear fractional Rayleigh-Stokes problem on an infinite interval","authors":"Jing Na Wang","doi":"10.1007/s13540-025-00408-2","DOIUrl":"https://doi.org/10.1007/s13540-025-00408-2","url":null,"abstract":"<p>In this paper, we investigate the existence of mild solutions of the nonlinear fractional Rayleigh-Stokes problem for a generalized second grade fluid on an infinite interval. We firstly show the boundedness and continuity of solution operator. And then, by using a generalized Arzelà-Ascoli theorem and some new techniques, we get the compactness on the infinite interval. Moreover, we prove the existence of global mild solutions of nonlinear fractional Rayleigh-Stokes problem.</p>","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"34 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143889704","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Multi-dimensional super-linear backward stochastic Volterra integral equations","authors":"Shengjun Fan ,&nbsp;Tianxiao Wang ,&nbsp;Jiongmin Yong","doi":"10.1016/j.jde.2025.113350","DOIUrl":"10.1016/j.jde.2025.113350","url":null,"abstract":"<div><div>In this paper, a systematic investigation is carried out for the general solvability of multi-dimensional backward stochastic Volterra integral equations (BSVIEs) with the generators being super-linear in the adjustment variable <em>Z</em>. Two major situations are discussed: (i) When the terminal term is bounded with the dependence of the generator on <em>Z</em> being of “diagonally strictly” quadratic growth and being sub-quadratically coupled with off-diagonal components; (ii) When the terminal term is unbounded having exponential moments of arbitrary order with the dependence of the generator on <em>Z</em> being diagonally no more than quadratic and being independent of off-diagonal components. Besides, for the case that the generator is super-quadratic in <em>Z</em>, some negative results are presented.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"437 ","pages":"Article 113350"},"PeriodicalIF":2.4,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Offside Control: A pitch control parameter to evaluate the offside performance of soccer teams","authors":"Álvaro Novillo ,&nbsp;R. López del Campo ,&nbsp;R. Resta Serra ,&nbsp;Javier M. Buldú","doi":"10.1016/j.chaos.2025.116445","DOIUrl":"10.1016/j.chaos.2025.116445","url":null,"abstract":"<div><div>We propose a new methodology for quantifying the effectiveness of the offside strategy of teams and players using a specific pitch control model. These models determine the probability of players controlling the ball based on their position, speed, and time to reach a desired location. Our study focuses on defining a new performance parameter, the <em>Offside Control</em> (OC), which quantifies the amount of threat posed by the attacking team or player beyond the offside line. OC computes the contribution to pitch control after the offside line by employing tracking datasets as input. Our analysis encompasses 100 matches of the Spanish National league in 2019 and scrutinizes the performance of 442 players. Importantly, we analyze the amount of OC that is effectively created, i.e., with the attacking player in a legal position and investigate how forward players move around the offside line. Our methodology offers a valuable instrument for the analysis of a team’s offside strategy and players’ distinct playing styles and can aid coaches in making informed decisions based on tracking data.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116445"},"PeriodicalIF":5.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamics of generalized asynchronous Boolean networks based on probability transition: Searching for attractors and basins","authors":"G. Li ,&nbsp;C. Luo ,&nbsp;S. Zhou ,&nbsp;L. Xu ,&nbsp;P. Yan ,&nbsp;H. Zhang","doi":"10.1016/j.chaos.2025.116467","DOIUrl":"10.1016/j.chaos.2025.116467","url":null,"abstract":"<div><div>This paper investigates the dynamics of generalized asynchronous Boolean networks based on probability transition, particularly the evolutionary trends of attractor and its basin. Specifically, first, the algebraic state space representation method converts the discrete network into a linear form to obtain the network transition matrix. Then, based on the generalized asynchronous update mechanism, a generalized probabilistic asynchronous Boolean network is constructed using the probabilistic transition method, and the probabilistic network transition matrix is obtained. Second, a necessary and sufficient condition is provided to convert the generalized probabilistic asynchronous Boolean network to an approximately deterministic system. Next, some necessary and sufficient conditions for the asymptotic fixed points and limit cycles are provided. Besides, the basins of the asymptotic fixed points and limit cycles are found and the state transition graph is drawn. Finally, two numerical examples verify the effectiveness of the proposed theorems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116467"},"PeriodicalIF":5.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Singular perturbations of a class of elliptic variational–hemivariational inequalities without monotonicity","authors":"Jinxia Cen ,&nbsp;Stanisław Migórski ,&nbsp;Yunyun Wu ,&nbsp;Shengda Zeng","doi":"10.1016/j.cnsns.2025.108868","DOIUrl":"10.1016/j.cnsns.2025.108868","url":null,"abstract":"<div><div>The aim of this article is to study the singular perturbations for a class of elliptic variational–hemivariational inequalities without strong monotonicity and relaxed monotonicity hypotheses. First, we prove existence of solutions to the original variational–hemivariational inequality under consideration, and its singular perturbation problem by applying an existence theorem for nonlinear equilibrium problems. Then, we provide a convergence result stating that the Kuratowski weak-upper limit of solution sets to singular perturbation problem coincides with the Kuratowski strong-upper limit of solution set to singular perturbation problem, and it is a nonempty subset of the solution set of original variational–hemivariational inequality. The singular perturbation analysis is completely new in the literature. Finally, in order to demonstrate the applicability of the results, an obstacle elliptic inclusion problem with convex subdifferential term, <span><math><mi>p</mi></math></span>-Laplace operator, and generalized Clarke’s subdifferential operator, is studied.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108868"},"PeriodicalIF":3.4,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143886555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Bohr–Rogosinski radius for holomorphic mappings with values in higher dimensional complex Banach spaces","authors":"Hidetaka Hamada,&nbsp;Tatsuhiro Honda,&nbsp;Mirela Kohr","doi":"10.1007/s13324-025-01061-x","DOIUrl":"10.1007/s13324-025-01061-x","url":null,"abstract":"<div><p>In this paper, we investigate the Bohr–Rogosinski radius for holomorphic mappings on the unit ball of a complex Banach space with values in a higher dimensional complex Banach space. First, we obtain the Bohr–Rogosinski radius for holomorphic mappings with values in the closure of the unit polydisc of the space <span>({mathbb {C}}^n)</span>, <span>(nge 2)</span>. Next, we obtain the Bohr–Rogosinski radius for holomorphic mappings with values in the closure of the unit ball of a <span>(hbox {JB}^*)</span>-triple. Finally, we obtain the Bohr–Rogosinski radius for a class of subordinations on the unit ball of a complex Banach space. All of the results are proved to be sharp.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143888664","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}

{"title":"Prescribing positive curvature with conical singularities on S2","authors":"Jingyi Chen ,&nbsp;Yuxiang Li ,&nbsp;Yunqing Wu","doi":"10.1016/j.jfa.2025.111031","DOIUrl":"10.1016/j.jfa.2025.111031","url":null,"abstract":"<div><div>For conformal metrics with conical singularities and positive curvature on <span><math><msup><mrow><mi>S</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>, we prove a convergence theorem and apply it to obtain a criterion for nonexistence in an open region of the prescribing data. The core of our study is a fine analysis of the bubble trees and an area identity in the convergence process.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 6","pages":"Article 111031"},"PeriodicalIF":1.7,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143895124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The role of the Allee effect in common pool resource games with environmental feedback","authors":"Chengyi Tu ,&nbsp;Fabio Menegazzo ,&nbsp;Paolo D'Odorico ,&nbsp;Samir Suweis","doi":"10.1016/j.chaos.2025.116497","DOIUrl":"10.1016/j.chaos.2025.116497","url":null,"abstract":"<div><div>The management of common-pool resources harvested by multiple users is a complex and challenging collective action problem. In fact, self-interested users may aim for short-term individual rewards and decide to overuse the resource, thereby leading to its overexploitation or “tragedy of the commons”. The existence of shared goals within a community, however, has been shown to prevent overexploitation and favor the attainment of sustainable outcomes in coupled user decision-resource dynamics. Natural resource dynamics may exhibit a correlation between the size of the resource pool and its growth rate, a phenomenon known as “Allee effect”, which can induce a critical transition of the system to an over-depleted (‘unsustainable’) state if the resource harvest rate exceeds a critical level. In this study, we account for this non-linearity by incorporating the Allee effect in the common pool resource dynamics within a human-environment system accounting for both the impact of users' decisions on harvest rates and resource levels, and for the feedback of resource depletion on users' decision (i.e., the effect of resource-level knowledge on harvest rates). Our findings show that the Allee effect can induce bi-stability, whereby the system can converge to either a sustainable or unsustainable stable state, depending on initial conditions and parameter configurations. Furthermore, we demonstrate that incorporating knowledge feedback enhances system resilience and sustainability, offering insights into more effective CPR management strategies. These results underscore the importance of considering ecological and behavioral feedbacks in the management of shared resources and suggest that improving user awareness could significantly bolster sustainability efforts.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116497"},"PeriodicalIF":5.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Solvability for a class of two-term nonlinear functional boundary value problems and its applications","authors":"Bingzhi Sun, Shuqin Zhang, Dongyu Yang","doi":"10.1007/s13540-025-00407-3","DOIUrl":"https://doi.org/10.1007/s13540-025-00407-3","url":null,"abstract":"<p>In this paper, we are concerned with a two-term fractional differential equation with functional boundary conditions. We discuss the existence of two kinds of solutions with respect to this type of equation. In this sense, for a class of two-term problems with specific boundary conditions, we use Matlab software to calculate the eigenvalues of the boundary value problems with Riemann-Liouville fractional derivative as an application of the two-term fractional differential equation, and further, we derive the dependence of eigenvalues on some parameters. Finally, we indicate that this method of estimating the eigenvalues by means of such two-term fractional order equations will also help in solving other eigenvalue problems.</p>","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"43 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143889572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Unified Framework for Multiscale Spectral Generalized FEMs and Low-Rank Approximations to Multiscale PDEs","authors":"Chupeng Ma","doi":"10.1007/s10208-025-09711-z","DOIUrl":"https://doi.org/10.1007/s10208-025-09711-z","url":null,"abstract":"<p>Multiscale partial differential equations (PDEs), featuring heterogeneous coefficients oscillating across possibly non-separated scales, pose computational challenges for standard numerical techniques. Over the past two decades, a range of specialized methods has emerged that enables the efficient solution of such problems. Two prominent approaches are numerical multiscale methods with problem-adapted coarse approximation spaces, and structured inverse methods that exploit a low-rank property of the associated Green’s functions to obtain approximate matrix factorizations. This work presents an abstract framework for the design, implementation, and analysis of the multiscale spectral generalized finite element method (MS-GFEM), a particular numerical multiscale method originally proposed in Babuska and Lipton (Multiscale Model Simul 9:373–406, 2011). MS-GFEM is a partition of unity method employing optimal local approximation spaces constructed from local spectral problems. We establish a general local approximation theory demonstrating exponential convergence with respect to the number of local degrees of freedom under certain assumptions, with explicit dependence on key problem parameters. Our framework applies to a broad class of multiscale PDEs with <span>(L^{infty })</span>-coefficients in both continuous and discrete, finite element settings, including highly indefinite problems and higher-order problems. Notably, we prove a local convergence rate of <span>(O(e^{-cn^{1/d}}))</span> for MS-GFEM for all these problems, improving upon the <span>(O(e^{-cn^{1/(d+1)}}))</span> rate shown by Babuska and Lipton. Moreover, based on the abstract local approximation theory for MS-GFEM, we establish a unified framework for showing low-rank approximations to multiscale PDEs. This framework applies to the aforementioned problems, proving that the associated Green’s functions admit an <span>(O(|log epsilon |^{d}))</span>-term separable approximation on well-separated domains with error <span>(epsilon &gt;0)</span>. Our analysis improves and generalizes the result in Bebendorf and Hackbusch (Numerische Mathematik 95:1–28, 2003) where an <span>(O(|log epsilon |^{d+1}))</span>-term separable approximation was proved for Poisson-type problems. It provides a rigorous theoretical foundation for diverse structured inverse methods, and also clarifies the intimate connection between approximation mechanisms in such methods and MS-GFEM.</p>","PeriodicalId":55151,"journal":{"name":"Foundations of Computational Mathematics","volume":"45 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143889834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}