发布求助
文献互助 智能选刊 最新文献

Acta Applicandae Mathematicae最新文献

筛选
英文 中文
Synchronization of WPAA-Solution of Clifford-Valued Neural Network with Multiple Time-Varying Delays and Impulse Effects on Hybrid Domains
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-04-25 DOI: 10.1007/s10440-025-00729-7
Divya Agrawal, Syed Abbas
{"title":"Synchronization of WPAA-Solution of Clifford-Valued Neural Network with Multiple Time-Varying Delays and Impulse Effects on Hybrid Domains","authors":"Divya Agrawal,&nbsp;Syed Abbas","doi":"10.1007/s10440-025-00729-7","DOIUrl":"10.1007/s10440-025-00729-7","url":null,"abstract":"<div><p>This paper addresses a class of Clifford-valued shunting inhibitory cellular neural networks on time scales. In this paper, we study the weighted pseudo almost automorphic (<i>WPAA</i>) solutions for Clifford-valued network models by taking into account time-varying delays and impulsive effects, resulting in a novel work. A key challenge in this context is the non-commutativity of Clifford numbers, which complicates the analysis. By using the non-decomposition and Banach fixed point, we prove the existence of a <i>WPAA</i> solution, and by using the Lyapunov function and feedback function, we explore the exponential synchronization for this model. The presented results significantly extend and complement existing findings in the field. In the end, the paper provides examples that demonstrate the usefulness of our analytical findings.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"197 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143871323","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 Inhomogeneous Boltzmann Equation in a Bianchi Type I Space-Time with Israel Particles
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-04-25 DOI: 10.1007/s10440-025-00728-8
Emmanuel Tchuengue Kamdem, Etienne Takou
{"title":"The Inhomogeneous Boltzmann Equation in a Bianchi Type I Space-Time with Israel Particles","authors":"Emmanuel Tchuengue Kamdem,&nbsp;Etienne Takou","doi":"10.1007/s10440-025-00728-8","DOIUrl":"10.1007/s10440-025-00728-8","url":null,"abstract":"<div><p>In this paper, we consider the Cauchy problem for the spatially inhomogeneous relativistic Boltzmann equation where the collision kernel is generated by Israel particle. Unique global (in time) classical solution is obtained in a suitable weighted space by considering small initial data and the Bianchi type I space-time as background.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"197 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143875373","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
On Multiple Degenerate Parabolic Equation with Variable Exponent
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-04-10 DOI: 10.1007/s10440-025-00727-9
Huashui Zhan
{"title":"On Multiple Degenerate Parabolic Equation with Variable Exponent","authors":"Huashui Zhan","doi":"10.1007/s10440-025-00727-9","DOIUrl":"10.1007/s10440-025-00727-9","url":null,"abstract":"<div><p>A multiple degenerate parabolic equation related to the <span>(p(x,t))</span>-Laplacian is considered. Since it is with multiple degeneracy, how to obtain the <span>(L^{infty })</span>-estimate becomes difficult, and the usual Dirichlet boundary value condition may be invalid or overdetermined. By adding some restrictions on the growth order, using the maximum value principle, the corresponding <span>(L^{infty })</span>-estimate of the weak solution is obtained first time. Since the solution is so weak that its trace on the boundary cannot be defined in the conventional manner. By employing the weak characteristic function method introduced in (Zhan and Feng in J. Differ. Equ. 268:389–413, 2020)), the classical trace in <span>(W_{0}^{1,p(cdot )}(Omega ))</span> is generalized to the function space <span>(W_{loc}^{1, p(cdot )}(Omega )bigcap L^{infty }(Omega ))</span>. Through this framework, the partial boundary value condition is imposed on a submanifold of <span>(partial Omega times (0,T))</span>, thereby establishing the stability of weak solutions.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809323","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
Asymptotic Analysis for Hydrodynamic Force Acting on Stiff Particles
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-04-09 DOI: 10.1007/s10440-025-00726-w
Zhiwen Zhao
{"title":"Asymptotic Analysis for Hydrodynamic Force Acting on Stiff Particles","authors":"Zhiwen Zhao","doi":"10.1007/s10440-025-00726-w","DOIUrl":"10.1007/s10440-025-00726-w","url":null,"abstract":"<div><p>A three-dimensional mathematical model of a viscous incompressible fluid with two stiff particles is investigated in the near-contact regime. When one of the particles approaches the other motionless particle with prescribed translational and angular velocities, there always appears blow-up of hydrodynamic force exerted on the moving particle. In this paper, we construct explicit singular functions corresponding to the fluid velocity and pressure to establish precise asymptotic formulas for hydrodynamic force with respect to small interparticle distance, which show that its largest singularity is determined by squeeze motion between two particles. Finally, the primal-dual variational principle is employed to give a complete justification for these asymptotics.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809287","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
Delta Standing Waves for a Nonhomogeneous (2times 2) Hyperbolic System
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-04-07 DOI: 10.1007/s10440-025-00724-y
Shiwei Li, Hui Wang
{"title":"Delta Standing Waves for a Nonhomogeneous (2times 2) Hyperbolic System","authors":"Shiwei Li,&nbsp;Hui Wang","doi":"10.1007/s10440-025-00724-y","DOIUrl":"10.1007/s10440-025-00724-y","url":null,"abstract":"<div><p>This article studies a <span>(2times 2)</span> hyperbolic system of conservation laws with general source term whose Riemann problem is solved with the use of the variable substitution. Four kinds of solutions involving delta-shock (delta standing wave) are constructed. We clarify the generalized Rankine-Hugoniot relation and entropy condition which are used to determine the position, propagation speed and strength of the delta-shock. The solutions are non-self-similar under the influence of source term. Compared with the homogeneous case, only the strength of delta-shock has changed, while the position and propagation speed of the delta-shock remain unchanged. Additionally, we propose a time-dependent viscous system to show the stability of the solutions including delta-shocks by adopting the vanishing viscosity method.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786660","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
Effects of Fractional Damping of Love Waves in an Inhomogeneous Layer in Double Layer Model 双层模型中不均匀层中爱波的分数阻尼效应
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-04-07 DOI: 10.1007/s10440-025-00725-x
Sadia Munir, Ashfaque H. Bokhari, F. D. Zaman, Hamza Hameed
{"title":"Effects of Fractional Damping of Love Waves in an Inhomogeneous Layer in Double Layer Model","authors":"Sadia Munir,&nbsp;Ashfaque H. Bokhari,&nbsp;F. D. Zaman,&nbsp;Hamza Hameed","doi":"10.1007/s10440-025-00725-x","DOIUrl":"10.1007/s10440-025-00725-x","url":null,"abstract":"<div><p>This study examines the propagation of Love waves in two layer model, consisting of an inhomogeneous isotropic upper layer with damping, overlying a homogeneous lower layer and a homogeneous half-space. To provide a more flexible measure of damping, fractional damping is introduced in the upper layer using Caputo derivative. The Laplace transform and Green’s function approach are employed to derive the displacement in the upper layer in transformed plane. The inverse Laplace transform is computed numerically using Stehfest’s algorithm and results are presented through numerical simulations and graphical illustrations.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793204","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
Strong and Polynomial Stability in Extensible Timoshenko Microbeam with Memories Based on the Modified Couple Stress Theory
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-03-17 DOI: 10.1007/s10440-025-00722-0
Moncef Aouadi
{"title":"Strong and Polynomial Stability in Extensible Timoshenko Microbeam with Memories Based on the Modified Couple Stress Theory","authors":"Moncef Aouadi","doi":"10.1007/s10440-025-00722-0","DOIUrl":"10.1007/s10440-025-00722-0","url":null,"abstract":"<div><p>In this article we derive the equations that constitute the nonlinear mathematical model of extensible Timoshenko microbeam with memories based on the modified couple stress theory. The nonlinear governing equations are derived by applying the Hamilton principle to full von Kármán equations together with Boltzmann theory for viscoelastic materials. The model takes into account the effects of extensibility, where the dissipation is entirely contributed by memories. Based on semigroups theory, we establish existence and uniqueness of weak and strong solutions to the derived problem. By using a resolvent criterion, developed by Borichev and Tomilov, we prove the optimality of the polynomial decay rate of the derived equations without extensibility when the viscoelastic law acts only on the shear force under the condition (4.10). In particular, we show that the considered problem is not exponentially stable. Moreover, by following a result due to Arendt-Batty, we show that the derived problem (without extensibility) is strongly stable.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638106","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
Dynamics of a Double Age-Structured SEIRI Epidemic Model
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-03-13 DOI: 10.1007/s10440-025-00723-z
Abderrazak Nabti, Salih Djilali, Malek Belghit
{"title":"Dynamics of a Double Age-Structured SEIRI Epidemic Model","authors":"Abderrazak Nabti,&nbsp;Salih Djilali,&nbsp;Malek Belghit","doi":"10.1007/s10440-025-00723-z","DOIUrl":"10.1007/s10440-025-00723-z","url":null,"abstract":"<div><p>The age-structured approach plays a crucial role in epidemiological modelling as it accounts for age-specific variations in susceptibility, transmission and disease progressions, providing a more accurate description of disease dynamics. In this paper, we create an age-structured epidemic model that incorporates age-dependent susceptibility and latency, as well as a relapse phase, with the objective of investigating the global dynamics of this model under the impact of that combination. The very important threshold parameter <span>(mathcal{R}_{0})</span> was introduced, and it has shown that it completely controls the stability of each equilibrium of the model. Based on the Lyapunov functional approach, we show that the disease-free equilibrium is globally asymptotically stable when <span>(mathcal{R}_{0}&lt;1)</span>, while the positive endemic equilibrium is globally asymptotically stable whenever <span>(mathcal{R}_{0}&gt;1)</span>. Our results suggest that early diagnostic of latency individuals, reduction in transmission rate and improvements in treatment and heath-care of infected individuals may effectively control the spread of the disease.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612229","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
Correction to: Dynamics for a Charge Transfer Model with Cross-Diffusion: Turing Instability of Periodic Solutions 更正：带交叉扩散的电荷转移模型的动力学：周期解的图灵不稳定性
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-03-07 DOI: 10.1007/s10440-025-00721-1
Gaihui Guo, Jing You, Xinhuan Li, Yanling Li
{"title":"Correction to: Dynamics for a Charge Transfer Model with Cross-Diffusion: Turing Instability of Periodic Solutions","authors":"Gaihui Guo,&nbsp;Jing You,&nbsp;Xinhuan Li,&nbsp;Yanling Li","doi":"10.1007/s10440-025-00721-1","DOIUrl":"10.1007/s10440-025-00721-1","url":null,"abstract":"","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143564425","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
Discrete and Embedded Trapped Modes in a Plane Quantum Waveguide with a Small Obstacle: Exact Solutions 带有小障碍物的平面量子波导中的离散和嵌入陷波模式：精确解法
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-03-07 DOI: 10.1007/s10440-025-00720-2
P. Zhevandrov, A. Merzon, M. I. Romero Rodríguez, J. E. De la Paz Méndez
{"title":"Discrete and Embedded Trapped Modes in a Plane Quantum Waveguide with a Small Obstacle: Exact Solutions","authors":"P. Zhevandrov,&nbsp;A. Merzon,&nbsp;M. I. Romero Rodríguez,&nbsp;J. E. De la Paz Méndez","doi":"10.1007/s10440-025-00720-2","DOIUrl":"10.1007/s10440-025-00720-2","url":null,"abstract":"<div><p>Exact solutions describing trapped modes in a plane quantum waveguide with a small rigid obstacle are constructed in the form of convergent series in powers of the small parameter characterizing the smallness of the obstacle. The terms of this series are expressed through the solution of the exterior Neumann problem for the Laplace equation describing the flow of unbounded fluid past the inflated obstacle. The exact solutions obtained describe discrete eigenvalues of the problem under certain geometric conditions, and, when the obstacle is symmetric, these solutions describe embedded eigenvalues. For obstacles symmetric with respect to the centerline of the waveguide, the existence of embedded trapped modes is known (due to the decomposition trick of the domain of the corresponding differential operator) even without the smallness assumption. We construct these solutions in an explicit form for small obstacles. For obstacles symmetric with respect to the vertical axis, we find embedded trapped modes for a specific vertical displacement of the obstacle.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143564413","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
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