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Existence and Uniqueness Results for Generalized Non-local Hallaire-Luikov Moisture Transfer Equation
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-02-05 DOI: 10.1007/s10440-025-00712-2
Asim Ilyas, Salman A. Malik, Kamran Suhaib
{"title":"Existence and Uniqueness Results for Generalized Non-local Hallaire-Luikov Moisture Transfer Equation","authors":"Asim Ilyas,&nbsp;Salman A. Malik,&nbsp;Kamran Suhaib","doi":"10.1007/s10440-025-00712-2","DOIUrl":"10.1007/s10440-025-00712-2","url":null,"abstract":"<div><p>This article focuses on inverse problem for Hallaire-Luikov moisture transfer equation involving Hilfer fractional derivative in time. Hallaire-Luikov equation is used to study heat and mass transfer in capillary-porous bodies. Spectral expansion method is used to find the solution of the inverse problem. By imposing certain conditions on the functions involved and utilizing certain properties of multinomial Mittag-Leffler function, it is shown that the solution to the equation, known as the inverse problem, is regular and unique. Moreover, the inverse problem exhibits ill-posedness in the sense of Hadamard. The article ends with an example to demonstrate these theoretical findings.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10440-025-00712-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143184605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Effects of Diffusion Coefficients in a Two-Species Lotka-Volterra Competition System with Resource Dependent Dispersal
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-01-31 DOI: 10.1007/s10440-025-00715-z
Qi Wang
{"title":"The Effects of Diffusion Coefficients in a Two-Species Lotka-Volterra Competition System with Resource Dependent Dispersal","authors":"Qi Wang","doi":"10.1007/s10440-025-00715-z","DOIUrl":"10.1007/s10440-025-00715-z","url":null,"abstract":"<div><p>In this paper, we consider a Lotka-Volterra competition-diffusion system with resource-dependent dispersal. We study the linear v.s. global asymptotic stability of steady states. Furthermore, how the diffusion coefficients and the dispersal strategies of two competing species affect the stability of steady states are given. This paper is a further study of (Tang and Wang in J. Math. Biol. 86:23, 2023).</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108252","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
Nonlocal Symmetries of Geng-Wu’s Super KdV Equation
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-01-29 DOI: 10.1007/s10440-025-00709-x
Kai Tian, Hanyu Zhou, Cuiling Dong
{"title":"Nonlocal Symmetries of Geng-Wu’s Super KdV Equation","authors":"Kai Tian,&nbsp;Hanyu Zhou,&nbsp;Cuiling Dong","doi":"10.1007/s10440-025-00709-x","DOIUrl":"10.1007/s10440-025-00709-x","url":null,"abstract":"<div><p>For a super Korteweg-de Vries (KdV) equation introduced by Geng and Wu, nonlocal infinitesimal symmetries depending on eigenfunctions of its (adjoint) linear spectral problem are constructed from gradient of the spectral parameter, and one of such symmetries is shown to be related to a nonlocal infinitesimal symmetry of Kupershmidt’s super modified KdV equation via a Miura-type transformation. On this basis, a finite symmetry transformation is established for an enlarged system, and leads to a non-trivial exact solution and a Bäcklund transformation of Geng-Wu’s super KdV equation. A procedure is explained to generate infinitely many conservation laws. Moreover, these results could be reduced to classical situations, and their bosonic limits are briefly summarized.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110180","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
A Numerical Study on Singularity Formation of the 2D Ideal MHD Equations
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-01-29 DOI: 10.1007/s10440-025-00710-4
Daisuke Hirata
{"title":"A Numerical Study on Singularity Formation of the 2D Ideal MHD Equations","authors":"Daisuke Hirata","doi":"10.1007/s10440-025-00710-4","DOIUrl":"10.1007/s10440-025-00710-4","url":null,"abstract":"<div><p>In this note, we study numerically the regularity issue of the ideal MHD equations on the two-dimensional torus. By pseudo-spectral method, we provide evidence that a certain numerical solution is initially regular and eventually very singular in finite time.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110181","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
Multiplicity of Solutions for a Kirchhoff Multi-Phase Problem with Variable Exponents
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-01-24 DOI: 10.1007/s10440-025-00711-3
Francesca Vetro
{"title":"Multiplicity of Solutions for a Kirchhoff Multi-Phase Problem with Variable Exponents","authors":"Francesca Vetro","doi":"10.1007/s10440-025-00711-3","DOIUrl":"10.1007/s10440-025-00711-3","url":null,"abstract":"<div><p>In this paper, we study a Kirchhoff-type problem driven by a multi-phase operator with three variable exponents. Such problem has a right-hand side consisting of a Carathéodory perturbation which is defined only locally as well as the Kirchhoff term. Using a generalized version of the symmetric mountain pass theorem along with recent a priori upper bounds for multi-phase problems, we get whole a sequence of nontrivial solutions for our problem converging to zero in the appropriate Musielak-Orlicz Sobolev space and in <span>(L^{infty }(Omega ))</span>.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109312","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 Expansion of Solutions of the 2nd Order Difference Equations in an Unbounded Domain 无界域上二阶差分方程解的渐近展开
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-01-15 DOI: 10.1007/s10440-025-00706-0
Sofia V. Rumyantseva
{"title":"Asymptotic Expansion of Solutions of the 2nd Order Difference Equations in an Unbounded Domain","authors":"Sofia V. Rumyantseva","doi":"10.1007/s10440-025-00706-0","DOIUrl":"10.1007/s10440-025-00706-0","url":null,"abstract":"<div><p>Difference equations play a crucial role in a wide array of mathematical and physical tasks. In this article, we focus on the analysis of a second order linear homogeneous difference equation with smooth coefficients via WKB method. It is well-known that such equations exhibit two WKB solutions in a segment devoid of turning and singular points. We establish a theorem demonstrating the existence of these solutions in an unbounded domain under certain conditions regarding the smoothness and growth behavior of the coefficients at infinity. Furthermore, using this theorem, we derive the asymptotic expansion of Laguerre polynomials for large orders and values, yielding estimates that align with existing results.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142976442","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
Exponential Stability of Highly Nonlinear Hybrid Neutral Pantograph Stochastic Systems with Multiple Delays 多时滞高非线性混合中性受电弓随机系统的指数稳定性
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-01-14 DOI: 10.1007/s10440-025-00705-1
Abdellatif Ben Makhlouf, Aws Ben Hamed, Lassaad Mchiri, Mohamed Rhaima
{"title":"Exponential Stability of Highly Nonlinear Hybrid Neutral Pantograph Stochastic Systems with Multiple Delays","authors":"Abdellatif Ben Makhlouf,&nbsp;Aws Ben Hamed,&nbsp;Lassaad Mchiri,&nbsp;Mohamed Rhaima","doi":"10.1007/s10440-025-00705-1","DOIUrl":"10.1007/s10440-025-00705-1","url":null,"abstract":"<div><p>This paper addresses the existence and exponential stability problem of highly nonlinear hybrid neutral pantograph stochastic equations with multiple delays (HNPSDEswMD). By Lyapunov functional method and without laying down a linear growth condition, the above problem of the exact solution is shown. We end up with two numerical examples that corroborates our theoretical findings.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142976409","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
Continuous Dependence Result for a Class of Evolutionary Variational-Hemivariational Inequalities with Application to a Dynamic Thermo-Viscoelastic Contact Problem 一类演化变分-半变分不等式的连续相关结果及其在动态热粘弹性接触问题中的应用
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2025-01-13 DOI: 10.1007/s10440-025-00707-z
Abdelhafid Ouaanabi, Mohammed Alaoui, Mustapha Bouallala, El Hassan Essoufi
{"title":"Continuous Dependence Result for a Class of Evolutionary Variational-Hemivariational Inequalities with Application to a Dynamic Thermo-Viscoelastic Contact Problem","authors":"Abdelhafid Ouaanabi,&nbsp;Mohammed Alaoui,&nbsp;Mustapha Bouallala,&nbsp;El Hassan Essoufi","doi":"10.1007/s10440-025-00707-z","DOIUrl":"10.1007/s10440-025-00707-z","url":null,"abstract":"<div><p>In the present paper, we consider a mathematical model describing the dynamic Coulomb’s frictional contact between a thermo-viscoelastic body and a thermally conductive rigid foundation. We employ the nonlinear constitutive viscoelastic law with long-term memory and thermal effects. We describe some contact and thermal conditions with the Clarke subdifferential boundary conditions. We derive the weak formulation of the problem as a system coupling two variational-hemivariational inequalities. We provide results on the existence and uniqueness of a weak solution to the model by using recent results from the theory of variational-hemivariational inequalities. Finally, the continuous dependence of the solution on the data is derived by applying an abstract result that we demonstrate.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142976565","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
Memory Based Approaches to One-Dimensional Nonlinear Models 基于记忆的一维非线性模型方法
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2024-12-16 DOI: 10.1007/s10440-024-00703-9
Amir Naseem, Ioannis K. Argyros, Sania Qureshi, Muhammad Aziz ur Rehman, Amanullah Soomro, Krzysztof Gdawiec, Ridwanulahi Iyanda Abdulganiy
{"title":"Memory Based Approaches to One-Dimensional Nonlinear Models","authors":"Amir Naseem,&nbsp;Ioannis K. Argyros,&nbsp;Sania Qureshi,&nbsp;Muhammad Aziz ur Rehman,&nbsp;Amanullah Soomro,&nbsp;Krzysztof Gdawiec,&nbsp;Ridwanulahi Iyanda Abdulganiy","doi":"10.1007/s10440-024-00703-9","DOIUrl":"10.1007/s10440-024-00703-9","url":null,"abstract":"<div><p>Algorithms that locate roots are used to analyze nonlinear equations in computer science, mathematics, and physical sciences. In order to speed up convergence and increase computational efficiency, memory-based root-seeking algorithms may look for the previous iterations. Three memory-based methods with a convergence order of about 2.4142 and one method without memory with third-order convergence are devised using both Taylor’s expansion and the backward difference operator. We provide an extensive analysis of local and semilocal convergence. We also use polynomiography to analyze the methods visually. Finally, the proposed iterative approaches outperform a number of existing memory-based methods when applied to one-dimensional nonlinear models taken from different fields of science and engineering.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"195 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826093","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
Preservation of Relative Hazard Rate and Relative Reversed Hazard Rate Orders by Distorted Distributions 通过扭曲分布保留相对危险率和相对反向危险率阶次
IF 1.2 4区 数学
Acta Applicandae Mathematicae Pub Date : 2024-12-13 DOI: 10.1007/s10440-024-00704-8
Mohamed Kayid, Raghad A. Almohsen
{"title":"Preservation of Relative Hazard Rate and Relative Reversed Hazard Rate Orders by Distorted Distributions","authors":"Mohamed Kayid,&nbsp;Raghad A. Almohsen","doi":"10.1007/s10440-024-00704-8","DOIUrl":"10.1007/s10440-024-00704-8","url":null,"abstract":"<div><p>In this paper, we establish preservation properties of relative aging orders under distorted distributions. The relative hazard rate order and the relative reversed hazard rate order are considered. Using the derived results, a preservation property of the relative hazard rate order and a preservation property of the relative reversed hazard rate order derived perviously by Misra and Francis (Stat. Probab. Lett. 106:272–280, 2015) for, respectively, parallel and series systems are strengthened. Examples are also presented to illustrate the applicability of the obtained results.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"194 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142821483","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
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