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Sign-changing solutions for a fractional Choquard system with strongly indefinite structure 具有强不定结构的分数阶Choquard系统的变符号解
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-25 DOI: 10.1016/j.aml.2025.109582
Jianqing Chen, Qian Zhang
{"title":"Sign-changing solutions for a fractional Choquard system with strongly indefinite structure","authors":"Jianqing Chen,&nbsp;Qian Zhang","doi":"10.1016/j.aml.2025.109582","DOIUrl":"10.1016/j.aml.2025.109582","url":null,"abstract":"<div><div>In this paper, by using the generalized Nehari manifold and the principle of symmetric criticality, we prove the existence of sign-changing solutions to a class of fractional Choquard system with strongly indefinite structure.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109582"},"PeriodicalIF":2.9,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877289","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}
引用次数: 0
Persistence and extinction of a stochastic SVI epidemic model with standard incidence and reaction–diffusion 具有标准发病率和反应扩散的随机SVI流行病模型的持续和消
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-24 DOI: 10.1016/j.aml.2025.109579
Tan Su, Yonggui Kao, Daqing Jiang
{"title":"Persistence and extinction of a stochastic SVI epidemic model with standard incidence and reaction–diffusion","authors":"Tan Su,&nbsp;Yonggui Kao,&nbsp;Daqing Jiang","doi":"10.1016/j.aml.2025.109579","DOIUrl":"10.1016/j.aml.2025.109579","url":null,"abstract":"<div><div>Considering the important effects of population diffusion and vaccine ineffectiveness on disease transmission, a stochastic SVI (Susceptible–Vaccinated–Infected) epidemic model with reaction–diffusion is mainly investigated in this paper. We prove the existence of the unique global positive strong solution by an innovative variable transformation. The sufficient conditions for disease persistence and exponential extinction are also established by suitable Lyapunov functions.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109579"},"PeriodicalIF":2.9,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874400","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}
引用次数: 0
Representation of solutions to a linear matrix discrete equation with single delay 单时滞线性矩阵离散方程解的表示
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-17 DOI: 10.1016/j.aml.2025.109577
Josef Diblík
{"title":"Representation of solutions to a linear matrix discrete equation with single delay","authors":"Josef Diblík","doi":"10.1016/j.aml.2025.109577","DOIUrl":"10.1016/j.aml.2025.109577","url":null,"abstract":"<div><div>A linear matrix delayed discrete equation <span><span><span><math><mrow><mi>Δ</mi><mi>X</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow><mo>=</mo><mi>B</mi><mi>X</mi><mrow><mo>(</mo><mi>k</mi><mo>−</mo><mi>m</mi><mo>)</mo></mrow><mo>+</mo><mi>X</mi><mrow><mo>(</mo><mi>k</mi><mo>−</mo><mi>m</mi><mo>)</mo></mrow><mi>C</mi><mo>+</mo><mi>F</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow><mo>,</mo></mrow></math></span></span></span>is considered, where <span><math><mi>m</mi></math></span> is a fixed positive integer, <span><math><mrow><mi>k</mi><mo>=</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>…</mo><mspace></mspace></mrow></math></span> is a discrete independent variable, <span><math><mrow><mi>X</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></mrow></math></span> is an <span><math><mrow><mi>n</mi><mo>×</mo><mi>n</mi></mrow></math></span> unknown variable matrix, <span><math><mi>Δ</mi></math></span> is the first order forward difference, <span><math><mi>B</mi></math></span>, <span><math><mi>C</mi></math></span> are given <span><math><mrow><mi>n</mi><mo>×</mo><mi>n</mi></mrow></math></span> constant matrices, and <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></mrow></math></span> is a given <span><math><mrow><mi>n</mi><mo>×</mo><mi>n</mi></mrow></math></span> variable matrix. Using a special matrix function, under some commutativity conditions, formulas are derived, solving an initial problem <span><math><mrow><mi>X</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow><mo>=</mo><mi>Ψ</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></mrow></math></span>, <span><math><mrow><mi>k</mi><mo>=</mo><mo>−</mo><mi>m</mi><mo>,</mo><mo>−</mo><mi>m</mi><mo>+</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mn>0</mn></mrow></math></span>, where <span><math><mrow><mi>Ψ</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></mrow></math></span> is an <span><math><mrow><mi>n</mi><mo>×</mo><mi>n</mi></mrow></math></span> variable matrix. Some connections with previously known results are discussed with open problems suggested for further investigations.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109577"},"PeriodicalIF":2.9,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143850390","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}
引用次数: 0
A time-delayed and drug-controlled within-host model 一个时间延迟和药物控制的宿主模型
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-17 DOI: 10.1016/j.aml.2025.109558
Yue Hou , Zhimin Li , Tailei Zhang
{"title":"A time-delayed and drug-controlled within-host model","authors":"Yue Hou ,&nbsp;Zhimin Li ,&nbsp;Tailei Zhang","doi":"10.1016/j.aml.2025.109558","DOIUrl":"10.1016/j.aml.2025.109558","url":null,"abstract":"<div><div>In this paper, we present a within-host model incorporating time delays and drug control mechanisms to study the dynamics of infectious diseases. We begin by defining the basic reproduction number, <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, and subsequently prove that when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&lt;</mo><mn>1</mn></mrow></math></span>, the disease-free equilibrium is globally attractive; while for <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&gt;</mo><mn>1</mn></mrow></math></span>, the disease persists uniformly. Numerical simulations are employed to validate our analytical findings.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109558"},"PeriodicalIF":2.9,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847863","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}
引用次数: 0
Large global solutions to the compressible flow of liquid crystals 液晶可压缩流动的大型全球解决方案
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-15 DOI: 10.1016/j.aml.2025.109578
Hui Ou, Hongyun Peng
{"title":"Large global solutions to the compressible flow of liquid crystals","authors":"Hui Ou,&nbsp;Hongyun Peng","doi":"10.1016/j.aml.2025.109578","DOIUrl":"10.1016/j.aml.2025.109578","url":null,"abstract":"<div><div>We construct the global large solutions for the compressible flow of liquid crystals in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>. This class of data relax the smallness restriction imposed on the the initial incompressible velocity. Particularly, our work improves upon previous studies by Hu and Wu (2013) and Zhai (2025).</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109578"},"PeriodicalIF":2.9,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847864","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}
引用次数: 0
Fourier beyond dispersion: Wavenumber explicit and precise accuracy of FDMs for the Helmholtz equation 傅里叶超越色散：亥姆霍兹方程fdm的波数显式和精确精度
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-15 DOI: 10.1016/j.aml.2025.109576
Hui Zhang
{"title":"Fourier beyond dispersion: Wavenumber explicit and precise accuracy of FDMs for the Helmholtz equation","authors":"Hui Zhang","doi":"10.1016/j.aml.2025.109576","DOIUrl":"10.1016/j.aml.2025.109576","url":null,"abstract":"<div><div>We propose a practical tool for evaluating and comparing the accuracy of FDMs for the Helmholtz equation. The tool based on Fourier analysis makes it easy to find wavenumber explicit order of convergence, and can be used for rigorous proof. It fills in the gap between the dispersion analysis and the actual error with source term. We illustrate it for classical and some dispersion free schemes in 1D, with conclusions verified by numerical experiments.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109576"},"PeriodicalIF":2.9,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143839764","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}
引用次数: 0
Feynman–Kac formula for regime-switching general diffusions 状态切换一般扩散的Feynman-Kac公式
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-15 DOI: 10.1016/j.aml.2025.109573
Zhiqiang Wei , Yejuan Wang , Erkan Nane
{"title":"Feynman–Kac formula for regime-switching general diffusions","authors":"Zhiqiang Wei ,&nbsp;Yejuan Wang ,&nbsp;Erkan Nane","doi":"10.1016/j.aml.2025.109573","DOIUrl":"10.1016/j.aml.2025.109573","url":null,"abstract":"<div><div>The aim of this paper is to establish a version of the Feynman–Kac formula for a class of regime-switching general diffusion processes, in which the general diffusion part is a time-homogeneous Markov process (whose infinitesimal generator is the general diffusion including both Laplacian and Lévy operators). The classical method based on the Itô formula can no longer be used here due to the presence of the general diffusion process. Notably, an innovative method is introduced to deduce the infinitesimal generator of the regime-switching general diffusion process, which greatly contributes to the analyses on the global existence of solutions for the corresponding partial differential equation with external potential and forcing.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109573"},"PeriodicalIF":2.9,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847741","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}
引用次数: 0
Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type AKNS型简化Lax对的可积矩阵非线性Schrödinger方程
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-15 DOI: 10.1016/j.aml.2025.109574
Wen-Xiu Ma
{"title":"Integrable matrix nonlinear Schrödinger equations with reduced Lax pairs of AKNS type","authors":"Wen-Xiu Ma","doi":"10.1016/j.aml.2025.109574","DOIUrl":"10.1016/j.aml.2025.109574","url":null,"abstract":"<div><div>A specific class of Ablowitz–Kaup–Newell–Segur (AKNS) matrix spectral problems is reduced using pairs of similarity transformations. The corresponding integrable hierarchies are derived from the reduced Lax pairs, extending the standard matrix AKNS integrable hierarchies. A few illustrative examples are provided to showcase the diversity of matrix integrable nonlinear Schrödinger equations.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109574"},"PeriodicalIF":2.9,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143850391","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}
引用次数: 0
Stationary distribution and extinction of a stochastic HIV/AIDS model with screened disease carriers, standard incidence rate and Ornstein–Uhlenbeck process 具有筛选疾病携带者、标准发病率和Ornstein-Uhlenbeck过程的随机HIV/AIDS模型的平稳分布和消光
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-14 DOI: 10.1016/j.aml.2025.109575
Wenjie Zuo, Shengnan Jiang
{"title":"Stationary distribution and extinction of a stochastic HIV/AIDS model with screened disease carriers, standard incidence rate and Ornstein–Uhlenbeck process","authors":"Wenjie Zuo,&nbsp;Shengnan Jiang","doi":"10.1016/j.aml.2025.109575","DOIUrl":"10.1016/j.aml.2025.109575","url":null,"abstract":"<div><div>This paper proposes a stochastic HIV/AIDS model that includes screening for virus carriers and infected individuals actively seeking treatment, with the average number of sexual partners <span><math><mover><mrow><mi>k</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span> controlled by a log-normal Ornstein–Uhlenbeck process. By constructing appropriate Lyapunov functions, the existence of a stationary distribution is obtained. Additionally, we establish sufficient condition for the extinction of the diseases, thereby offering valuable insights into AIDS control and policy decisions.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109575"},"PeriodicalIF":2.9,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835144","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}
引用次数: 0
An efficient meshless collocation method for the analysis of two-dimensional piezoelectric structures 用于分析二维压电结构的高效无网格配置法
IF 2.9 2区 数学
Applied Mathematics Letters Pub Date : 2025-04-12 DOI: 10.1016/j.aml.2025.109572
Mulin Yuan , Jun Lu , Ji Lin , Yuhui Zhang
{"title":"An efficient meshless collocation method for the analysis of two-dimensional piezoelectric structures","authors":"Mulin Yuan ,&nbsp;Jun Lu ,&nbsp;Ji Lin ,&nbsp;Yuhui Zhang","doi":"10.1016/j.aml.2025.109572","DOIUrl":"10.1016/j.aml.2025.109572","url":null,"abstract":"<div><div>The backward substitution method is a newly developed semi-analytical meshless method. This paper makes the first attempt to apply the backward substitution method for the simulation of piezoelectric structures. The numerical solution is divided into boundary approximation and domain approximation with correction functions. After obtaining the boundary approximation using a series of basis functions, the domain approximation is obtained using the modified basis functions that satisfy the homogeneous boundary conditions. A simply scaling scheme is applied in the calculation process to avoid the loss of accuracy. Finally, two examples are considered and numerical results are compared with references.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"168 ","pages":"Article 109572"},"PeriodicalIF":2.9,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835143","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}
引用次数: 0
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