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Existence of weak solutions for a class of (p(u),q(u))-Laplacian problems 一类 (p(u),q(u))-拉普拉卡问题的弱解的存在性
Gulf Journal of Mathematics Pub Date : 2024-07-10 DOI: 10.56947/gjom.v17i1.2098
Youssef Fadil, Said Ait Temghart, C. Allalou, Mohamed Oukessou
{"title":"Existence of weak solutions for a class of (p(u),q(u))-Laplacian problems","authors":"Youssef Fadil, Said Ait Temghart, C. Allalou, Mohamed Oukessou","doi":"10.56947/gjom.v17i1.2098","DOIUrl":"https://doi.org/10.56947/gjom.v17i1.2098","url":null,"abstract":"This paper investigates the existence of weak solutions for (p,q)-Laplacian problems where p and q depend on the unknown solution. We focus on the case where p and q are local quantities. By means of a singular perturbation technique, we prove the existence of weak solutions for certain Dirichlet problem.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"11 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141660894","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}
引用次数: 0
Local derivations and Rota-Baxter operators of quantum Lotka-Volterra algebras on M_2(C) M_2(C) 上量子洛特卡-伏特拉代数的局部派生和罗塔-巴克斯特算子
Gulf Journal of Mathematics Pub Date : 2024-07-05 DOI: 10.56947/gjom.v17i1.2000
I. Qaralleh, F. Mukhamedov
{"title":"Local derivations and Rota-Baxter operators of quantum Lotka-Volterra algebras on M_2(C)","authors":"I. Qaralleh, F. Mukhamedov","doi":"10.56947/gjom.v17i1.2000","DOIUrl":"https://doi.org/10.56947/gjom.v17i1.2000","url":null,"abstract":"In this paper, we thoroughly investigate the local and 2-local derivations of a flow of quantumgenetic Lotka-Volterra algebras on M2(C) (FQGLV-A). The analysis is mainly geared towards understanding how specific parameter values influence the properties of these derivations. Our findings elucidate the structural intricacies of FQGLV-A algebras and bridge gaps in the current understanding of local and 2-local derivations. We prove that any local derivation is indeed a derivation. Furthermore, the set of2-local deviations coincide with the set of deviations.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141674098","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}
引用次数: 0
Existence and multiplicity results for Kirchhoff-type superlinear problems involving the fractional p(x)-Laplacian satisfying (C)-condition 涉及满足 (C) 条件的分数 p(x)-Laplacian 的基尔霍夫型超线性问题的存在性和多重性结果
Gulf Journal of Mathematics Pub Date : 2024-07-01 DOI: 10.56947/gjom.v17i1.2081
Mahmoud El Ahmadi, Mohamed Bouabdallah, A. Lamaizi
{"title":"Existence and multiplicity results for Kirchhoff-type superlinear problems involving the fractional p(x)-Laplacian satisfying (C)-condition","authors":"Mahmoud El Ahmadi, Mohamed Bouabdallah, A. Lamaizi","doi":"10.56947/gjom.v17i1.2081","DOIUrl":"https://doi.org/10.56947/gjom.v17i1.2081","url":null,"abstract":"Our focus in this study revolves around investigating a Kirchhoff problem involving the fractional p(x)-Laplacian operator. The purpose is to study the existence and multiplicity of weak solutions for the above problem under appropriate hypotheses on functions f and m. By using the Mountain Pass Theorem with Cerami condition, we show the existence of non-trivial weak solution for the problem without assuming the Ambrosetti-Rabinowitz condition. Furthermore, our second purpose is to determine the precise positive interval of λ for which the above problem admits at least two nontrivial weak solutions. It should be noted that the existence of infinitely many weak solutions is proved by employing the Fountain Theorem.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"20 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141703945","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}
引用次数: 0
Lattice of c-structures c 结构晶格
Gulf Journal of Mathematics Pub Date : 2024-07-01 DOI: 10.56947/gjom.v17i1.2078
C. Darsana, P. Sini
{"title":"Lattice of c-structures","authors":"C. Darsana, P. Sini","doi":"10.56947/gjom.v17i1.2078","DOIUrl":"https://doi.org/10.56947/gjom.v17i1.2078","url":null,"abstract":"In this paper, we study the properties of the lattice of c-structures. We define the concept of simple expansion and examine some of its properties. Additionally, we determine the automorphism group of the lattice of c-structures and explore the fixed points of the group of automorphisms.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"24 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141703039","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}
引用次数: 0
I- Convergence of sequences of subspaces in an inner product space I- 内积空间子空间序列的收敛性
Gulf Journal of Mathematics Pub Date : 2024-07-01 DOI: 10.56947/gjom.v17i1.2082
Prasanta Malik, Saikat Das
{"title":"I- Convergence of sequences of subspaces in an inner product space","authors":"Prasanta Malik, Saikat Das","doi":"10.56947/gjom.v17i1.2082","DOIUrl":"https://doi.org/10.56947/gjom.v17i1.2082","url":null,"abstract":"In this paper we introduce the notion of ℑ-convergence of sequences of k-dimensional subspaces of an inner product space, where ℑ is an ideal of subsets of ℕ, the set of all natural numbers and k⊂ℕ. We also study some basic properties of this notion.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"51 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141712721","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}
引用次数: 0
The power serieswise Armendariz graph of a commutative ring 交换环的幂级数阿门达兹图
Gulf Journal of Mathematics Pub Date : 2024-07-01 DOI: 10.56947/gjom.v17i1.2079
Hiren D. Patel
{"title":"The power serieswise Armendariz graph of a commutative ring","authors":"Hiren D. Patel","doi":"10.56947/gjom.v17i1.2079","DOIUrl":"https://doi.org/10.56947/gjom.v17i1.2079","url":null,"abstract":"The rings considered in this article are commutative with non-zero identity which are not integral domains. Let R be a ring. Let Z(R) denote the set of all zero-divisors of R and we denote Z(R){0} by Z(R)∗. In this article, we introduce and investigate the power serieswise Armendariz graph of R denoted by PA(R). It is the undirected graph whose vertex set is Z(R[[X]])∗ and distinct vertices f(X)=∑i=0∞ aiXi and g(X)=∑j=0∞ bjXj are adjacent in PA(R) if and only if ai bj = 0 for all i and j. The aim of this article is to study the interplay between the ring-theoretic properties of R and the graph-theoretic properties of PA(R). We discuss some results on diameter, clique, and girth of PA(R).","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"23 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141690303","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}
引用次数: 0
Holomorphy of Basarab Loops 巴萨拉布环路的整体形态
Gulf Journal of Mathematics Pub Date : 2024-07-01 DOI: 10.56947/gjom.v17i1.2076
Gideon Effiong, Temitope Gbolahan Jaiyeola, Martin Chucks Obi, L. S. Akinola
{"title":"Holomorphy of Basarab Loops","authors":"Gideon Effiong, Temitope Gbolahan Jaiyeola, Martin Chucks Obi, L. S. Akinola","doi":"10.56947/gjom.v17i1.2076","DOIUrl":"https://doi.org/10.56947/gjom.v17i1.2076","url":null,"abstract":"A loop (Q,∙) is called a Basarab loop if the identities: (x ∙ yxρ)∙(xz)=x ∙ yz and (yx) ∙ (xλ z∙x)=yz ∙ x hold. The holomorphy of a Basarab loop Q was investigated with respect to a group A(Q)$ of automorphisms of the loop. Some necessary and sufficient conditions for an A(Q)-holomorph of a loop Q to be a left (right) Basarab loop or Basarab loop were established. Specifically, the A(Q)-holomorph of a loop Q was shown to be a left (right) Basarab loop if and only if Q is a left (right) Basarab loop and every element of A(Q) is left (right) regular. The A(Q)-holomorph of a loop Q was shown to be a Basarab loop if and only if Q is a Basarab loop, every element of A(Q) is both left and right nuclear and the A(Q)-generalized inner mappings of Q take some particular forms. These results were expressed in form of commutative diagrams. In any left (right) Basarab loop or Basarab loop Q, it was shown that the set of α ∈ A(Q) with four autotopic characterizations actually form normal subgroups of A(Q).","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"2001 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141707595","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}
引用次数: 0
Well-posedness for the stochastic incompressible Hall-magnetohydrodynamic system 随机不可压缩霍尔磁流体动力学系统的良好拟合
Gulf Journal of Mathematics Pub Date : 2024-07-01 DOI: 10.56947/gjom.v17i1.2080
Hassan Khaider, Fatima Ouidirne, Achraf Azanzal, C. Allalou
{"title":"Well-posedness for the stochastic incompressible Hall-magnetohydrodynamic system","authors":"Hassan Khaider, Fatima Ouidirne, Achraf Azanzal, C. Allalou","doi":"10.56947/gjom.v17i1.2080","DOIUrl":"https://doi.org/10.56947/gjom.v17i1.2080","url":null,"abstract":"In this paper, we first establish the existence and uniqueness of solutions of the stochastic incompressible Hall-magnetohydrodynamic system in the deterministic case in Fourier-Besov-Morrey critical spaces. In the second part, we show the existence and uniqueness of solutions in the stochastic case.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"57 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141705643","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}
引用次数: 0
Omega derivative 欧米茄衍生物
Gulf Journal of Mathematics Pub Date : 2024-02-25 DOI: 10.56947/gjom.v16i1.1430
Rene Erín Castillo, Juan E. Nápoles Valdés, Héctor Chaparro
{"title":"Omega derivative","authors":"Rene Erín Castillo, Juan E. Nápoles Valdés, Héctor Chaparro","doi":"10.56947/gjom.v16i1.1430","DOIUrl":"https://doi.org/10.56947/gjom.v16i1.1430","url":null,"abstract":"In this paper, we introduce the Ω-derivative, which generalizes the classical concept of derivative. Main properties of this new derivative are revised. We also study Ω-differential equations and some of its applications.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"12 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140433323","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}
引用次数: 0
Approximate controllability of impulsive evolution stochastic functional differential equations driven by a fractional Brownian motion 分数布朗运动驱动的脉冲演化随机函数微分方程的近似可控性
Gulf Journal of Mathematics Pub Date : 2024-02-25 DOI: 10.56947/gjom.v16i1.1371
Ahmed Lahmoudi, E. Lakhel, Salah Hajji
{"title":"Approximate controllability of impulsive evolution stochastic functional differential equations driven by a fractional Brownian motion","authors":"Ahmed Lahmoudi, E. Lakhel, Salah Hajji","doi":"10.56947/gjom.v16i1.1371","DOIUrl":"https://doi.org/10.56947/gjom.v16i1.1371","url":null,"abstract":"In this paper, we study the approximate controllability of certain class of impulsive evolution stochastic functional differential equations, with variable delays, driven by a fractional Brownian motion in a separable real Hilbert space. We derive a new set of sufficient conditions for approximate controllability using a stochastic analysis of fractional Brownian motion with Hurst parameter H ∈ (1/2,1) and a Schaefer's fixed point theorem. An example is considered at the end of the paper to illustrate the obtained abstract results.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"26 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140432231","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}
引用次数: 0
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