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Mathematical Methods in the Applied Sciences最新文献

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Nonexistence for a system of time‐fractional diffusion equations in an exterior domain 外域中时间分量扩散方程系统的不存在性
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-19 DOI: 10.1002/mma.10489
Mohamed Jleli, Bessem Samet
{"title":"Nonexistence for a system of time‐fractional diffusion equations in an exterior domain","authors":"Mohamed Jleli, Bessem Samet","doi":"10.1002/mma.10489","DOIUrl":"https://doi.org/10.1002/mma.10489","url":null,"abstract":"A system of time‐fractional diffusion equations posed in an exterior domain of ( ) under homogeneous Dirichlet boundary conditions is investigated in this paper. The time‐fractional derivatives are considered in the Caputo sense. Using nonlinear capacity estimates specifically adapted to the nonlocal properties of the Caputo fractional derivative, the geometry of the domain, and the boundary conditions, we obtain sufficient conditions for the nonexistence of a weak solution to the considered system.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258429","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}
引用次数: 0
Minimal observability of switching Boolean networks 开关布尔网络的最小可观测性
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-19 DOI: 10.1002/mma.10485
Yupeng Sun, Shihua Fu, Liyuan Xia, Jiayi Xu
{"title":"Minimal observability of switching Boolean networks","authors":"Yupeng Sun, Shihua Fu, Liyuan Xia, Jiayi Xu","doi":"10.1002/mma.10485","DOIUrl":"https://doi.org/10.1002/mma.10485","url":null,"abstract":"In this paper, the minimal observability of switching Boolean networks (SBNs) is investigated. Firstly, applying the semi‐tensor product (STP) method of matrices, a parallel extension system is constructed, based on which a necessary and sufficient condition to detect the observability of the SBNs is given. Secondly, when an SBN is unobservable, the specific steps to obtain the required measurements to make the system observable are given using the set reachable method; however, the measurements given in this part are not necessarily the fewest. Then, a criterion for determining the minimum number of measurements is further proposed through a constructed indicator matrix. Lastly, the effectiveness of the new results is verified by an example.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258428","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}
引用次数: 0
Global and exponential attractors for viscoelastic Kirchhoff plate equation with memory and time delay 具有记忆和时间延迟的粘弹性基尔霍夫板方程的全局吸引子和指数吸引子
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-19 DOI: 10.1002/mma.10487
Yuming Qin, Hongli Wang
{"title":"Global and exponential attractors for viscoelastic Kirchhoff plate equation with memory and time delay","authors":"Yuming Qin, Hongli Wang","doi":"10.1002/mma.10487","DOIUrl":"https://doi.org/10.1002/mma.10487","url":null,"abstract":"In this paper, we consider the viscoelastic Kirchhoff plate equation with memory and time delay. Under appropriate conditions on the real numbers and , we prove the existence of a compact global attractor with finite fractal dimension through a stabilizability estimate. Additionally, we demonstrate the existence of a fractal exponential attractor. To the best of our knowledge, these findings are novel for for this system.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258426","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}
引用次数: 0
Exponential stability for a classical structural acoustic model with thermoelastic boundary control 具有热弹性边界控制的经典结构声学模型的指数稳定性
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-19 DOI: 10.1002/mma.10496
Marcio V. Ferreira
{"title":"Exponential stability for a classical structural acoustic model with thermoelastic boundary control","authors":"Marcio V. Ferreira","doi":"10.1002/mma.10496","DOIUrl":"https://doi.org/10.1002/mma.10496","url":null,"abstract":"The uniform stabilization of a coupled system arising in the active control of noise in a cavity with a flexible boundary (strings under thermal effects) is considered. Unlike most articles on this subject, which employ the scalar wave equation when analyzing the asymptotic behavior of structural acoustic models, in this paper, we consider classical equations in terms of flow velocity and pressure to describe the acoustic vibrations of the fluid which fills the cavity. This allows to consider, for example, more realistic boundary conditions to model the coupling on the interface between the acoustic chamber and the wall. The main result of this paper, concerning the exponential stability of the model, is established by means of the frequency domain method and the semigroup theory. This method can be adapted to other first‐order hyperbolic dissipative systems as well.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258425","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}
引用次数: 0
Spatial propagation in a delayed spruce budworm diffusive model 延迟云杉芽虫扩散模型中的空间传播
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-19 DOI: 10.1002/mma.10490
Lizhuang Huang, Zhiting Xu
{"title":"Spatial propagation in a delayed spruce budworm diffusive model","authors":"Lizhuang Huang, Zhiting Xu","doi":"10.1002/mma.10490","DOIUrl":"https://doi.org/10.1002/mma.10490","url":null,"abstract":"We investigate the spatial propagation in a delayed spruce budworm diffusive model <jats:disp-formula> </jats:disp-formula>where and represent, respectively, the incubation and the maturation delays for the spruce budworm. We find the minimal wave speed to determine the existence of traveling wave fronts of the model. More specifically, the model admits traveling wave fronts when ; the model has no traveling wave solutions when . The proofs are based on combining the upper and lower solutions with the approach of Wu and Zou's theorems, the limit arguments, and Laplace transform. The obtained results help us to understand the spreading patterns and the spreading speed of spruce budworm population.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258427","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}
引用次数: 0
Variation of parameters and initial time difference Lipschitz stability of impulsive differential equations 脉冲微分方程的参数变化和初始时差 Lipschitz 稳定性
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-19 DOI: 10.1002/mma.10498
Saliha Demirbüken, Coşkun Yakar
{"title":"Variation of parameters and initial time difference Lipschitz stability of impulsive differential equations","authors":"Saliha Demirbüken, Coşkun Yakar","doi":"10.1002/mma.10498","DOIUrl":"https://doi.org/10.1002/mma.10498","url":null,"abstract":"In this paper, we investigate the Lipschitz stability of a perturbed impulsive differential system concerning the unperturbed system. We employ the variation of parameters or the constant of variation for impulsive differential systems with an initial time difference.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258424","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}
引用次数: 0
Numerical analysis of fractional‐order Euler–Bernoulli beam model under composite model 复合模型下分数阶欧拉-伯努利梁模型的数值分析
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-18 DOI: 10.1002/mma.10444
Shuai Zhu, Yanfei Ma, Yanyun Zhang, Jiaquan Xie, Ning Xue, Haidong Wei
{"title":"Numerical analysis of fractional‐order Euler–Bernoulli beam model under composite model","authors":"Shuai Zhu, Yanfei Ma, Yanyun Zhang, Jiaquan Xie, Ning Xue, Haidong Wei","doi":"10.1002/mma.10444","DOIUrl":"https://doi.org/10.1002/mma.10444","url":null,"abstract":"The primary objective of this study is to develop a new constitutive model by combining a fractional‐order Kelvin–Voigt model with an Abel dashpot element in parallel. Subsequently, this new model will be incorporated into the Euler–Bernoulli beam's governing equation, utilizing shifted Legendre polynomials as basis functions, a classical orthogonal polynomial system, to solve the fractional‐order partial differential equations. By comparing the numerical solutions with the analytical solutions, we aim to evaluate the applicability of shifted Legendre polynomials in solving such problems and the accuracy of the obtained numerical solutions. Furthermore, we will investigate the performance of viscoelastic HDPE beams under different loading conditions and conduct a comparative analysis of the displacements of HDPE beams under the new constitutive model and the traditional fractional‐order Kelvin–Voigt model. Through this research, we hope to gain a deeper understanding of the characteristics of fractional‐order phenomena and provide more accurate and efficient numerical simulation and analysis methods for the field of structural mechanics, promoting the development of related engineering applications.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258433","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}
引用次数: 0
Solvability of a sixth‐order boundary value problem with multi‐point and multi‐term integral boundary conditions 具有多点和多期积分边界条件的六阶边界值问题的可解性
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-18 DOI: 10.1002/mma.10492
Faouzi Haddouchi, Nourredine Houari
{"title":"Solvability of a sixth‐order boundary value problem with multi‐point and multi‐term integral boundary conditions","authors":"Faouzi Haddouchi, Nourredine Houari","doi":"10.1002/mma.10492","DOIUrl":"https://doi.org/10.1002/mma.10492","url":null,"abstract":"This paper aims to investigate the existence and uniqueness of solutions for a sixth‐order differential equation involving nonlocal and integral boundary conditions. Firstly, we obtain the properties of the relevant Green's functions. The existence result of at least one nontrivial solution is obtained by applying the Krasnoselskii–Zabreiko fixed point theorem. Moreover, we also establish the existence of unique solution to the considered problem via Hölder and Minkowski inequalities and Rus's theorem. Finally, two numerical examples are included to show the applicability of our main results.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258431","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}
引用次数: 0
Two geometrical invariants for three‐dimensional systems 三维系统的两个几何不变式
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-18 DOI: 10.1002/mma.10491
Aimin Liu, Yongjian Liu, Xiaoting Lu
{"title":"Two geometrical invariants for three‐dimensional systems","authors":"Aimin Liu, Yongjian Liu, Xiaoting Lu","doi":"10.1002/mma.10491","DOIUrl":"https://doi.org/10.1002/mma.10491","url":null,"abstract":"The subject of KCC theory is a second‐order ordinary differential equation, it is sometimes difficult to convert the high dimensional system into an equivalent second‐order system because of the analytical requirements of KCC theory. By means of the Euler‐Lagrange extension of a flow on a Riemannian manifold, this paper gives five geometric invariants of some three‐dimensional systems with great convenience, and focus on the analysis of two of them. The results show that the hyperbolic equilibria corresponding to the seven standard forms of three‐dimensional linear systems are Jacobi unstable. This is completely different from what we got before in two‐dimensional systems, where Jacobi stable and Jacobi unstable correspond to focus and node, respectively. All equilibria of classical Lü chaotic system and Yang‐Chen chaotic system are Jacobi unstable. Meanwhile, in three‐dimensional linear case, the torsion tensors at any point of the trajectory are identically equal to zero, but the two nonlinear systems have nonzero torsion tensors components.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258430","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}
引用次数: 0
Infinitely of solutions for fractional κ(ξ)$$ kappa left(xi right) $$‐Kirchhoff equation in Hκ(ξ)ϖ,ν;μ(Λ)$$ {mathcal{H}}_{kappa left(xi right)}^{varpi, nu; mu}left(Lambda right) $$ 在Hκ(ξ)ϖ,ν中的分式κ(ξ)$$ {{kappa（左）（西）（右）}$$-基尔霍夫方程的无限解μ（Λ）$$ {{mathcal{H}}_{kappa（左）（西）（右）}&#x0005E;{varpi, nu;mu}（左）（λ）$$
IF 2.9 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-09-17 DOI: 10.1002/mma.10477
Abdelhakim Sahbani, J. Vanterler da C. Sousa
{"title":"Infinitely of solutions for fractional κ(ξ)$$ kappa left(xi right) $$‐Kirchhoff equation in Hκ(ξ)ϖ,ν;μ(Λ)$$ {mathcal{H}}_{kappa left(xi right)}&#x0005E;{varpi, nu; mu}left(Lambda right) $$","authors":"Abdelhakim Sahbani, J. Vanterler da C. Sousa","doi":"10.1002/mma.10477","DOIUrl":"https://doi.org/10.1002/mma.10477","url":null,"abstract":"This work aims to develop the variational framework for some Kirchhoff problems involving the ‐Hilfer operator. Precisely, we use the symmetric mountain pass theorem to prove the existence of unfairly of nontrivial solutions. Further, we research the results from the theory of variable exponent Sobolev spaces and from the theory of ‐fractional space .","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258434","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}
引用次数: 0
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