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Mathematical Methods in the Applied Sciences最新文献

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Heat source determining inverse problem for nonlocal in time equation 非局部时间方程的热源确定逆问题
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-15 DOI: 10.1002/mma.10409
Daurenbek Serikbaev, Michael Ruzhansky, Niyaz Tokmagambetov
{"title":"Heat source determining inverse problem for nonlocal in time equation","authors":"Daurenbek Serikbaev,&nbsp;Michael Ruzhansky,&nbsp;Niyaz Tokmagambetov","doi":"10.1002/mma.10409","DOIUrl":"https://doi.org/10.1002/mma.10409","url":null,"abstract":"<p>In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the problem to an operator equation for the source function.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1768-1791"},"PeriodicalIF":2.1,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861239","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
Multiple solutions to nonlocal Neumann boundary problem with sign-changing coefficients 符号变化系数的非局部新曼边界问题的多重解
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-14 DOI: 10.1002/mma.10419
Jiaqing Hu, Anmin Mao
{"title":"Multiple solutions to nonlocal Neumann boundary problem with sign-changing coefficients","authors":"Jiaqing Hu,&nbsp;Anmin Mao","doi":"10.1002/mma.10419","DOIUrl":"https://doi.org/10.1002/mma.10419","url":null,"abstract":"<p>We consider the following Neumann boundary problem with a nonlocal Kirchhoff term \u0000\u0000 </p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1982-1995"},"PeriodicalIF":2.1,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861268","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
Pointwise convergence problem of the one-dimensional Boussinesq-type equation
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-14 DOI: 10.1002/mma.10408
Weimin Wang, Wei Yan, Yating Zhang
{"title":"Pointwise convergence problem of the one-dimensional Boussinesq-type equation","authors":"Weimin Wang,&nbsp;Wei Yan,&nbsp;Yating Zhang","doi":"10.1002/mma.10408","DOIUrl":"https://doi.org/10.1002/mma.10408","url":null,"abstract":"<p>In this paper, we consider the initial data problem of the one-dimensional Boussinesq-type equation. Inspired by the work of Compaan et al. (Int. Math. Res. Not. 2021, 599–650), by using the Fourier restriction norm method, we investigate the pointwise convergence of the one-dimensional Boussinesq equation and cubic Boussinesq equation. We also only use the Strichartz estimates instead of Fourier restriction norm method to establish convergence conclusions of the one-dimensional cubic Boussinesq equation. The key ingredients are some Strichartz estimates and high-low frequency decomposition related to the nonlinear part of the integral form solution in the Duhamel form and the maximal function estimate related to inhomogeneous estimate.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1750-1767"},"PeriodicalIF":2.1,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861269","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
Oscillatory behavior of second-order nonlinear delay dynamic equations with multiple sublinear neutral terms utilizing canonical transformation
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-14 DOI: 10.1002/mma.10397
S. E. Affan, Taher S. Hassan, E. M. Elabbasy, E. A. Saied, A. M. Hassan
{"title":"Oscillatory behavior of second-order nonlinear delay dynamic equations with multiple sublinear neutral terms utilizing canonical transformation","authors":"S. E. Affan,&nbsp;Taher S. Hassan,&nbsp;E. M. Elabbasy,&nbsp;E. A. Saied,&nbsp;A. M. Hassan","doi":"10.1002/mma.10397","DOIUrl":"https://doi.org/10.1002/mma.10397","url":null,"abstract":"<p>This paper aims to present innovative criteria for characterizing the oscillatory behavior of second-order nonlinear delay dynamics expressed in noncanonical form with sublinear neutral terms. We achieve this by converting the noncanonical equation into an equivalent canonical form. The practical examples presented throughout this paper illustrate the significance of our findings and contribute to enhancing, generalizing, and augmenting the existing literature on this subject.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1589-1600"},"PeriodicalIF":2.1,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861272","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
Distributed consensus time-varying optimization algorithm for multi-agent systems in predefined time via event-triggered sliding mode control
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-14 DOI: 10.1002/mma.10399
Xueqing Zhao, Huaiqin Wu, Jinde Cao
{"title":"Distributed consensus time-varying optimization algorithm for multi-agent systems in predefined time via event-triggered sliding mode control","authors":"Xueqing Zhao,&nbsp;Huaiqin Wu,&nbsp;Jinde Cao","doi":"10.1002/mma.10399","DOIUrl":"https://doi.org/10.1002/mma.10399","url":null,"abstract":"<p>This paper proposes a distributed consensus algorithm in predefined time of time-varying optimization with inequality constrains for multi-agent systems (MASs) with external disturbances over an undirected graph. Firstly, by utilizing exponential function, a novel criterion with respect to the stability in predefined time is developed for the nonlinear systems. Secondly, a new distributed switching control protocol, which can inhibit the external unbounded disturbances, is piecewise designed to drive the states of agents to the sliding mode surface via the predefined-time set by users. Subsequently, under the designed event-triggered controller (ETC), the states of agents achieve consensus in predefined time on the sliding mode surface. Meanwhile, with the help of log barrier function, the consensus states of agents reach the feasible region and converge to the optimal solution in predefined time. Finally, the correctness and availability of the proposed optimization control algorithm are verified by a simulation example.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1617-1635"},"PeriodicalIF":2.1,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861270","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
Controllability of switched integro-neutral fractional delay systems over arbitrary time domain
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-14 DOI: 10.1002/mma.10395
Bakhtawar Pervaiz, Akbar Zada, Sana Ben Moussa, Ioan-Lucian Popa
{"title":"Controllability of switched integro-neutral fractional delay systems over arbitrary time domain","authors":"Bakhtawar Pervaiz,&nbsp;Akbar Zada,&nbsp;Sana Ben Moussa,&nbsp;Ioan-Lucian Popa","doi":"10.1002/mma.10395","DOIUrl":"https://doi.org/10.1002/mma.10395","url":null,"abstract":"<p>In this paper, we examine various qualitative properties for some class of fractional impulsive switched integro-neutral dynamic systems over arbitrary time domain. We establish the existence, stability, and controllability of the scrutinized models. This article is divided into three parts: The first part is concerned with the existence and uniqueness, the second part is dedicated to the Hyers–Ulam stability, and in the third part, we examine the controllability analysis. We establish our results via the Banach and Leray–Schauder fixed-point approaches along with the Arzela–Ascoli theorem. To show the implications and effectiveness of established results, we present a simulated numerical example at the end.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1530-1562"},"PeriodicalIF":2.1,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861271","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
Analysis of a quasistatic thermo-electro-viscoelastic contact problem modeled by variational-hemivariational and hemivariational inequalities 用变分-半变分不等式和半变分不等式建模的准静态热-电-粘弹接触问题分析
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-12 DOI: 10.1002/mma.10411
Mohammed Alaoui, Mustapha Bouallala, EL Hassan Essoufi, Abdelhafid Ouaanabi
{"title":"Analysis of a quasistatic thermo-electro-viscoelastic contact problem modeled by variational-hemivariational and hemivariational inequalities","authors":"Mohammed Alaoui,&nbsp;Mustapha Bouallala,&nbsp;EL Hassan Essoufi,&nbsp;Abdelhafid Ouaanabi","doi":"10.1002/mma.10411","DOIUrl":"https://doi.org/10.1002/mma.10411","url":null,"abstract":"<p>We study, from both variational and numerical perspectives, a quasistatic contact problem involving a thermo-electro-viscoelastic body and an electrically and thermally conductive rigid foundation. The contact is modeled by the Signorini's unilateral contact condition for the velocity field. Both the electrical and thermal conductivity conditions on the contact surface are described using the Clarke subdifferential boundary. We derive the weak formulation of the problem as a system coupling a variational-hemivariational inequality and two hemivariational inequalities. We utilize recent results from the theory of variational-hemivariational inequalities to establish the existence and uniqueness of the weak solution of the model. Finally, we study a fully discrete scheme for the problem using the Euler scheme and the finite element method. Under additional solution regularity assumptions, we derive error estimates for the approximate solutions.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1809-1830"},"PeriodicalIF":2.1,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861289","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
Riemann-Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-12 DOI: 10.1002/mma.10400
Ya-Hui Liu, Rui Guo, Jian-Wen Zhang
{"title":"Riemann-Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum","authors":"Ya-Hui Liu,&nbsp;Rui Guo,&nbsp;Jian-Wen Zhang","doi":"10.1002/mma.10400","DOIUrl":"https://doi.org/10.1002/mma.10400","url":null,"abstract":"<p>In this paper, the Riemann-Hilbert (RH) approach for the integrable discrete Hirota equation with bounded boundary conditions is presented. In the direct scattering problem, we study the analyticity, asymptotics, symmetries of the eigenfunctions, and scattering coefficients and analyze the distribution of discrete eigenvalues. In the inverse scattering problem, the RH problem is constructed and solved as well as the reconstruction formula of potential is derived based on asymptotics. Finally, combining the time evolution, we solve the first- and second-order dark soliton solutions on the nonzero background under the reflectionless condition.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1636-1658"},"PeriodicalIF":2.1,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861288","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
Triple increasing positive solutions to fractional differential equations with p-Laplacian operator 带 p 拉普拉斯算子的分数微分方程的三重递增正解
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-12 DOI: 10.1002/mma.10402
Shan Cai, Xiaoping Li
{"title":"Triple increasing positive solutions to fractional differential equations with \u0000p-Laplacian operator","authors":"Shan Cai,&nbsp;Xiaoping Li","doi":"10.1002/mma.10402","DOIUrl":"https://doi.org/10.1002/mma.10402","url":null,"abstract":"<p>In this paper, we study the existence of positive solution to boundary value problem of fractional differential equations with \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 <annotation>$$ p $$</annotation>\u0000 </semantics></math>-Laplacian operator. By using Avery–Peterson theorem, some new existence results of three increasing positive solutions are obtained.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1676-1684"},"PeriodicalIF":2.1,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861287","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
Existence results for the generalized Riemann–Liouville type fractional Fisher-like equation on the half-line 半线上广义黎曼-刘维尔型分数费雪方程的存在性结果
IF 2.1 3区 数学
Mathematical Methods in the Applied Sciences Pub Date : 2024-08-10 DOI: 10.1002/mma.10398
Nemat Nyamoradi, Bashir Ahmad
{"title":"Existence results for the generalized Riemann–Liouville type fractional Fisher-like equation on the half-line","authors":"Nemat Nyamoradi,&nbsp;Bashir Ahmad","doi":"10.1002/mma.10398","DOIUrl":"10.1002/mma.10398","url":null,"abstract":"<p>In this paper, we discuss the existence of multiplicity of positive solutions to a new generalized Riemann–Liouville type fractional Fisher-like equation on a semi-infinite interval equipped with nonlocal multipoint boundary conditions involving Riemann–Liouville fractional derivative and integral operators. The existence of at least two positive solutions for the given problem is established by using the concept of complete continuity and iterative positive solutions. We show the existence of at least three positive solutions to the problem at hand by applying the generalized Leggett–Williams fixed-point theorem due to Bai and Ge [Z. Bai, B. Ge, Existence of three positive solutions for some second-order boundary value problems, Comput. Math. Appl. 48 (2014) 699-70]. Illustrative examples are constructed to demonstrate the effectiveness of the main results. It has also been indicated in Section 5 that some new results appear as special cases by choosing the parameters involved in the given problem appropriately.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"1601-1616"},"PeriodicalIF":2.1,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141921135","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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