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Pseudo almost automorphic solutions to non autonomous third order differential equation with multiple deviating arguments 具有多个偏离参数的非自治三阶微分方程的伪几乎自同构解
Gulf Journal of Mathematics Pub Date : 2021-09-12 DOI: 10.56947/gjom.v11i2.430
M. Amdouni, F. Chérif
{"title":"Pseudo almost automorphic solutions to non autonomous third order differential equation with multiple deviating arguments","authors":"M. Amdouni, F. Chérif","doi":"10.56947/gjom.v11i2.430","DOIUrl":"https://doi.org/10.56947/gjom.v11i2.430","url":null,"abstract":"The pseudo almost automorphic solutions of non-autonomous third-order differential equation with multiple delays is investigated. By some sufficient conditions, we obtain the uniformly bounded of the solutions. Moreover, by Banach fixed point theorem we obtain the existence and uniqueness of the solutions. In addition, by suitable Laypunov functions, we give the globally exponential stability of the pseudo almost automorphic solutions. Finally, a numerical example is given to illustrate our results.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"55 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132798009","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
On a (k,mu)-paracontact manifold satisfying some conditions on the projective curvature tensor 在一个(k，)-副接触流形上满足射影曲率张量的一些条件
Gulf Journal of Mathematics Pub Date : 2021-09-12 DOI: 10.56947/gjom.v11i2.498
Pakize Uygun, M. Atc̣eken
{"title":"On a (k,mu)-paracontact manifold satisfying some conditions on the projective curvature tensor","authors":"Pakize Uygun, M. Atc̣eken","doi":"10.56947/gjom.v11i2.498","DOIUrl":"https://doi.org/10.56947/gjom.v11i2.498","url":null,"abstract":"In the present paper, we study the curvature tensors of (k,mu)-paracontact manifold satisfying the conditions P(ξ ,Y)Z=0, P(ξ ,Y)P=0, P(ξ ,Y)S =0 and (ξ,Y)R=0. According these cases, (k,μ)-paracontact manifolds have been characterized. We obtain the necessary and sufficient conditions of a (k,μ)-paracontact manifold to be η-Einsteins.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126458993","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: 1
Fekete-Szego estimates and second Hankel determinant for a generalized subfamily of analytic functions defined by q-differential operator 由q-微分算子定义的解析函数广义子族的Fekete-Szego估计和第二Hankel行列式
Gulf Journal of Mathematics Pub Date : 2021-09-12 DOI: 10.56947/gjom.v11i2.583
A. Lasode, T. Opoola
{"title":"Fekete-Szego estimates and second Hankel determinant for a generalized subfamily of analytic functions defined by q-differential operator","authors":"A. Lasode, T. Opoola","doi":"10.56947/gjom.v11i2.583","DOIUrl":"https://doi.org/10.56947/gjom.v11i2.583","url":null,"abstract":"In this paper, we considered a family of analytic and univalent functions having positive real parts in the unit disk and defined by a q-difference operator. The coefficients, the Fekete-Szego estimates and the second Hankel determinants were established for the family of functions. Our family of functions generalized some earlier known ones and by varying some parameters, our results also generalized some known ones.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122728984","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: 3
Additive mappings covering generalized (alpha_1, alpha_2)-derivations in semiprime rings 覆盖半素环上广义(alpha_1, alpha_2)导数的加性映射
Gulf Journal of Mathematics Pub Date : 2021-09-12 DOI: 10.56947/gjom.v11i2.495
F. Shujat, A. Ansari
{"title":"Additive mappings covering generalized (alpha_1, alpha_2)-derivations in semiprime rings","authors":"F. Shujat, A. Ansari","doi":"10.56947/gjom.v11i2.495","DOIUrl":"https://doi.org/10.56947/gjom.v11i2.495","url":null,"abstract":"Let R be a semiprime ring, (α1,α2) be automorphisms on R and Δ, δ be additive maps from R to R. If Δ and δ satisfying any one of the following identities:i) Δ(xnyn)=Δ(xn)α1(yn)+α2(xn)δ(yn)ii) Δ(xn)=Δ(xn-m)α1(xm)+α2(xn-m)δ(xm), for all x,y∈Rthen Δ will be generalized (α1,α2)-derivation with associated (α1,α2)-derivation on R.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134329658","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
Construction of fusion frame in Cartesian product of two Hilbert spaces 两个Hilbert空间笛卡尔积中融合框架的构造
Gulf Journal of Mathematics Pub Date : 2021-09-12 DOI: 10.56947/gjom.v11i2.539
Prasenjit Ghosh
{"title":"Construction of fusion frame in Cartesian product of two Hilbert spaces","authors":"Prasenjit Ghosh","doi":"10.56947/gjom.v11i2.539","DOIUrl":"https://doi.org/10.56947/gjom.v11i2.539","url":null,"abstract":"We study the concept of fusion frame in Cartesian product of two Hilbert spaces as Cartesian product of two Hilbert spaces is again a Hilbert space and see that the Cartesian product of two fusion frames is also a fusion frame. The concept of fusion frame operator on Cartesian product of two Hilbert spaces is being given and results of it are being presented.A perturbation result on fusion frame in Cartesian product of two Hilbert spaces is being discussed.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123324142","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: 2
Three-dimensional para-Kenmotsu manifolds admitting eta-Ricci solitons 具有ricci孤子的三维拟kenmotsu流形
Gulf Journal of Mathematics Pub Date : 2021-09-12 DOI: 10.56947/gjom.v11i2.584
Ashis Mondal
{"title":"Three-dimensional para-Kenmotsu manifolds admitting eta-Ricci solitons","authors":"Ashis Mondal","doi":"10.56947/gjom.v11i2.584","DOIUrl":"https://doi.org/10.56947/gjom.v11i2.584","url":null,"abstract":"In the present paper we study η-Ricci solitons on three-dimensional para-Kenmotsu manifolds with the curvature condition R.Q=0. Also we study conformal flat, projectively flat and concircularly flat η-Ricci soliton on a three-dimensional para-Kenmotsu manifold. Finally, we construct an example of a three-dimensional para-Kenmotsu manifold which admits η-Ricci solitons.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124714623","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
Maximal regularity for non autonomous evolution equations and Black-Scholes operator 非自治演化方程的极大正则性与Black-Scholes算子
Gulf Journal of Mathematics Pub Date : 2021-08-09 DOI: 10.56947/gjom.v11i1.670
Chakir Hilmi, A. Sani
{"title":"Maximal regularity for non autonomous evolution equations and Black-Scholes operator","authors":"Chakir Hilmi, A. Sani","doi":"10.56947/gjom.v11i1.670","DOIUrl":"https://doi.org/10.56947/gjom.v11i1.670","url":null,"abstract":"A sufficient topological condition to ensure maximal regularity is given. The result permits to retrieve classical results established recently on non autonomous evolution equations mainly those concerning well-posedness of the non autonomous Cauchy problem. We illustrate the result in the hilbertian context by an application to Black-Scholes operator.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121714349","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: 1
Eigenvalue estimates for magnetic Schrodinger operators in a waveguide 波导中磁性薛定谔算子的特征值估计
Gulf Journal of Mathematics Pub Date : 2021-08-09 DOI: 10.56947/gjom.v11i1.669
Ben Sorowen, Martin Karuhanga
{"title":"Eigenvalue estimates for magnetic Schrodinger operators in a waveguide","authors":"Ben Sorowen, Martin Karuhanga","doi":"10.56947/gjom.v11i1.669","DOIUrl":"https://doi.org/10.56947/gjom.v11i1.669","url":null,"abstract":"We present an upper estimate for the number of negative eigenvalues below the essential spectrum for the magnetic Schrodinger operator with Aharonov-Bohm magnetic field in a strip.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"173 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114015542","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
Sequences related to the e number and Bernoulli numbers 与e数和伯努利数相关的序列
Gulf Journal of Mathematics Pub Date : 2021-08-09 DOI: 10.56947/gjom.v11i1.666
R. Jakimczuk
{"title":"Sequences related to the e number and Bernoulli numbers","authors":"R. Jakimczuk","doi":"10.56947/gjom.v11i1.666","DOIUrl":"https://doi.org/10.56947/gjom.v11i1.666","url":null,"abstract":"We study some sequences related to the e number and the Bernoulli numbers.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123134638","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
On some independent equitable domination of graphs 关于图的一些独立的公平支配
Gulf Journal of Mathematics Pub Date : 2021-08-09 DOI: 10.56947/gjom.v11i1.668
Mark Caay, Marjun Durog
{"title":"On some independent equitable domination of graphs","authors":"Mark Caay, Marjun Durog","doi":"10.56947/gjom.v11i1.668","DOIUrl":"https://doi.org/10.56947/gjom.v11i1.668","url":null,"abstract":"One of the most interesting facts about the study of connectivity and working is in the area of domination. By this, we determine the independent equitable domination number of some graphs and some results. Moreover, we investigate graphs with the existence of independent equitable dominating set.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"112 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132249841","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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