{"title":"Generalized derivations with center-like subsets in prime rings","authors":"Ahmed Aboubakr","doi":"10.1007/s11565-025-00592-2","DOIUrl":"10.1007/s11565-025-00592-2","url":null,"abstract":"<div><p>This research introduces novel center-like subsets, denoted as <span>(C^{star }_{1} (mathfrak {S}, Gamma ))</span>, <span>(C_{2} (mathfrak {S}, Gamma ))</span>, and <span>(C^{star }_{2} (mathfrak {S}, Gamma ))</span>, where <span>(mathfrak {S})</span> represents the ring and <span>(Gamma )</span> denoted the (L,R)-generalized derivation. The study presents an innovative derivation for previously established center-like subsets and examines the interrelationships between these sets. Moreover, this investigation extends existing theorems by employing (L,R)-generalized derivations, in contrast to the conventional derivations utilized in prior research. The work also provides original proofs for a variety of center-like sets. To substantiate the necessity of the proposed hypotheses, the paper is supplemented with illustrative examples.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143919261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a nonlinear partial differential equation with a (pleft( .right) )-triharmonic operator","authors":"Ismail Aydın, Khaled Kefi","doi":"10.1007/s11565-025-00593-1","DOIUrl":"10.1007/s11565-025-00593-1","url":null,"abstract":"<div><p>We study the following <span>(pleft( .right) )</span>-triharmonic problem </p><div><div><span>$$begin{aligned} left{ begin{array}{cc} Delta _{p(.)}^{3}u+a(x)left| uright| ^{p(x)-2}u=lambda (V_{1}(x)left| uright| ^{q(x)-2}u-V_{2}(x)left| uright| ^{alpha (x)-2}u), & text {in }Omega left| nabla Delta uright| ^{p(x)-2}frac{partial u}{partial upsilon }+beta (x)left| uright| ^{p(x)-2}u=0, & text {on } partial Omega ,end{array} right. end{aligned}$$</span></div></div><p>where <span>(Omega )</span> is a smooth bounded domain in <span>( mathbb {R} ^N)</span>, and <span>(lambda >0)</span> is a parameter. Using some variational methods and compact embedding results for variable exponent third-order Sobolev space, we obtain the existence of weak solutions for the problem.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-025-00593-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dilberto da Silva Almeida Júnior, Anderson de Jesus Araújo Ramos, Mirelson Martins Freitas, Baowei Feng, Luiz Gutemberg Rosário Miranda
{"title":"Exponential decay for a porous elastic truncated model with time delay effects","authors":"Dilberto da Silva Almeida Júnior, Anderson de Jesus Araújo Ramos, Mirelson Martins Freitas, Baowei Feng, Luiz Gutemberg Rosário Miranda","doi":"10.1007/s11565-025-00589-x","DOIUrl":"10.1007/s11565-025-00589-x","url":null,"abstract":"<div><p>In this paper, we consider a truncated version for 1D porous-elasticity equations and established exponential decay results by incorporating damping mechanisms of time delay types acting partially on the system. Our approach is based on contribution by Ramos et al. (Appl Math Lett 101:106061, 2020). We proved that the exponential decay property holds regardless any relationship between coefficients of the system.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Existence of optimum solution of the fractional integral equation via measure of noncompactness","authors":"Mallika Sarmah, Anupam Das, Dipak Sarma","doi":"10.1007/s11565-025-00590-4","DOIUrl":"10.1007/s11565-025-00590-4","url":null,"abstract":"<div><p>In this paper, we establish a best proximity point theorem by using a newly defined condensing operator, and we applied the results to investigate the optimum solution of a system of fractional integral equations followed by an example.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A stability result of a one-dimensional coupled system of wave equations with Fourier heat conduction","authors":"Hizia Bounadja, Oumkeltoum Benhamouda, Salim Messaoudi","doi":"10.1007/s11565-025-00591-3","DOIUrl":"10.1007/s11565-025-00591-3","url":null,"abstract":"<div><p>In this work, we consider a coupled system of two wave equations with only one thermal effect in a one-dimensional domain. We give the well-posedness using the semigroup theory and show that the solution of the system decays polynomially by constructing an appropriate Lyapunov function.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A study on pure closed submodules","authors":"Alaa Abdul Azeez Abdul Ameer, Muna Abbas Ahmed","doi":"10.1007/s11565-025-00588-y","DOIUrl":"10.1007/s11565-025-00588-y","url":null,"abstract":"<div><p>Nada M. Al-Thani introduced pure closed submodules without adding any details about the behavior of this kind of submodule. The main goal of this paper is to study and develop pure closed submodules. We introduced several results that are analogous to those in the closed submodule. Besides that, we study pure closed submodules in multiplication modules. Also, the relationships of pure closed submodules with <span>(St)</span>-closed and <span>(W)</span>-closed submodules are investigated. Moreover, ACC on pure closed submodules is discussed.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143778133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fadel Mohammed, William Ramírez, Clemente Cesarano, Stiven Díaz
{"title":"q-Legendre based Gould–Hopper polynomials and q-operational methods","authors":"Fadel Mohammed, William Ramírez, Clemente Cesarano, Stiven Díaz","doi":"10.1007/s11565-025-00587-z","DOIUrl":"10.1007/s11565-025-00587-z","url":null,"abstract":"<div><p>The generalization of the monomiality principle for <i>q</i>-special polynomials has just been explained and demonstrated. This extension is used to study the monomiality features of the number of <i>q</i>-special polynomials, such as <i>q</i>-Appell polynomials, <i>q</i>-Gould–Hopper polynomials, two variables <i>q</i>-Hermite, <i>q</i>-Laguerre and <i>q</i>-Legendre polynomials. Additionally, several kinds of hybrid <i>q</i>-special polynomials and their monomiality features are studied, such as two-variable <i>q</i>-Laguerre-Appell polynomials, two-variable based <i>q</i>-Hermite-Appell polynomials and <i>q</i>-Gould–Hopper–Appell polynomials. This study seeks to generate the <i>q</i>-Legendre–Gould–Hopper polynomials and then describe their attributes by extending the idea of monomiality for <i>q</i>-polynomials. Furthermore, we propose operational representations, expansion formulae and new families of these polynomials with the aid of <i>q</i>-operational methods and extension for monomiality principle of <i>q</i>-polynomials.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-025-00587-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143769909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hasna Moujani, Ali El Mfadel, Abderrazak Kassidi, M.’hamed El Omari
{"title":"On a class of nonlinear elliptic problems with double phase effects and laplacian-type operators in Musielak-Orlicz-Sobolev spaces","authors":"Hasna Moujani, Ali El Mfadel, Abderrazak Kassidi, M.’hamed El Omari","doi":"10.1007/s11565-025-00586-0","DOIUrl":"10.1007/s11565-025-00586-0","url":null,"abstract":"<div><p>This paper addresses the existence of weak solutions for a class of nonlinear Dirichlet boundary value problems governed by a double phase operator. The main results are established under precise assumptions on the nonlinearity of the second term. The analysis is carried out within the advanced framework of Musielak-Orlicz-Sobolev spaces, which accommodate the variable growth conditions induced by the double phase structure. To handle challenges related to weak convergence, we employ the Young measures technique. Additionally, approximate solutions are systematically constructed through the Galerkin method, ensuring a rigorous and structured approach to the problem.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Well-posedness for stochastic fractional navier-stokes equation in critical Fourier-Besov-Morrey spaces","authors":"Fatima Ouidirne, Achraf Azanzal, Mohamed Oukessou","doi":"10.1007/s11565-025-00584-2","DOIUrl":"10.1007/s11565-025-00584-2","url":null,"abstract":"<div><p>This work considers the 3-D stochastic fractional Navier-Stokes equation driven by multiplicative noise in critical Fourier-Besov-Morrey spaces <span>(mathcal {Fdot{N}}_{p,h,r}^{1-2beta +frac{3}{p^{prime }}+frac{h}{p}}(mathbb {R}^{3}))</span>. We establish the local existence and uniqueness of the solutions to the concerned equation and we prove the global existence in the probabilistic sense when the initial data are small.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A new generalization of the class of (m-)symmetric operators","authors":"Souhaib Djaballah, Messaoud Guesba","doi":"10.1007/s11565-025-00585-1","DOIUrl":"10.1007/s11565-025-00585-1","url":null,"abstract":"<div><p>In this paper, we define and study a new class of bounded linear operators which is a generalization of the class of <span>(m-)</span>symmetric operators. Let <i>m</i> be a strictly positive integer number and <span>(Uin {mathcal {B}}({mathcal {H}}))</span> is a unitary operator, an operator <span>(Tin {mathcal {B}}({mathcal {H}}))</span> is said to be a <span>((U,m)-)</span>symmetry if it commutes with <i>U</i> such that </p><div><div><span>$$begin{aligned} sum _{k=0}^m (-1)^{k}left( begin{array}{l} m k end{array}right) T^{*(m-k)}T^{k}U^{k}=0. end{aligned}$$</span></div></div><p>It is shown that if <i>T</i> is a <span>((U,m)-)</span>symmetry, then <span>(T^{p})</span> is a <span>((U^{p},m)-)</span>symmetry. We study the product and the sum of such a class. Moreover, if <i>T</i> is a <span>((U,m)-)</span>symmetry and <i>m</i> is even, we obtain that <i>T</i> is a <span>((U,m-1)-)</span>symmetry. We prove that if <i>Q</i> is a nilpotent operator of order <i>n</i> which commutes with both <i>T</i> and <i>U</i>, then <span>(T+Q)</span> is a <span>((U,m+2n-2)-)</span>symmetry. Also, we give some spectral properties of <span>((U,m)-)</span>symmetric operators. Finally, we show further results concerning this class of operators on a finite dimensional Hilbert space.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}