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Ideal based graph structures for commutative rings 交换环的理想图结构
IF 0.5
Cubo Pub Date : 2022-08-01 DOI: 10.56754/0719-0646.2402.0333
M. I. Jinnah, Shine C. Mathew
{"title":"Ideal based graph structures for commutative rings","authors":"M. I. Jinnah, Shine C. Mathew","doi":"10.56754/0719-0646.2402.0333","DOIUrl":"https://doi.org/10.56754/0719-0646.2402.0333","url":null,"abstract":"We introduce a graph structure (Gamma^{ast}_2(R)) for commutative rings with unity. We study some of the properties of the graph (Gamma^{ast}_2(R)). Also we study some parameters of (Gamma^{ast}_2(R)) and find rings for which (Gamma^{ast}_2(R)) is split.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45301103","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 existence results for hybrid (psi-)Caputo multi-fractional differential equations with hybrid conditions 具有混合条件的混合(psi-)Caputo多分数阶微分方程的存在性结果
IF 0.5
Cubo Pub Date : 2022-08-01 DOI: 10.56754/0719-0646.2402.0273
Fouad Fredj, Hadda Hammouche
{"title":"On existence results for hybrid (psi-)Caputo multi-fractional differential equations with hybrid conditions","authors":"Fouad Fredj, Hadda Hammouche","doi":"10.56754/0719-0646.2402.0273","DOIUrl":"https://doi.org/10.56754/0719-0646.2402.0273","url":null,"abstract":"In this paper, we study the existence and uniqueness results of a fractional hybrid boundary value problem with multiple fractional derivatives of (psi-)Caputo with different orders. Using a useful generalization of Krasnoselskii’s fixed point theorem, we have established results of at least one solution, while the uniqueness of solution is derived by Banach's fixed point. The last section is devoted  to an example that illustrates the applicability of our results.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42033608","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
Numerical analysis of nonlinear parabolic problems with variable exponent and L^1 data 变指数和L^1数据非线性抛物问题的数值分析
IF 0.5
Cubo Pub Date : 2022-08-01 DOI: 10.56754/0719-0646.2402.0187
S. Ouaro, Noufou Rabo
{"title":"Numerical analysis of nonlinear parabolic problems with variable exponent and L^1 data","authors":"S. Ouaro, Noufou Rabo","doi":"10.56754/0719-0646.2402.0187","DOIUrl":"https://doi.org/10.56754/0719-0646.2402.0187","url":null,"abstract":"In this paper, we make the numerical analysis of the mild solution which is also an entropy solution of parabolic problem involving the (p(x)-)Laplacian operator with (L^1-) data.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44040524","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
Fixed point results of ((phi,psi))-weak contractions in ordered (b)-metric spaces 有序(b) -度量空间中((phi,psi)) -弱收缩的不动点结果
IF 0.5
Cubo Pub Date : 2022-08-01 DOI: 10.56754/0719-0646.2402.0343
N. S. Rao, K. Kalyani
{"title":"Fixed point results of ((phi,psi))-weak contractions in ordered (b)-metric spaces","authors":"N. S. Rao, K. Kalyani","doi":"10.56754/0719-0646.2402.0343","DOIUrl":"https://doi.org/10.56754/0719-0646.2402.0343","url":null,"abstract":"The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying  generalized ((phi, psi))-contraction conditions in complete partially ordered (b)-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. A few examples are illustrated to support our findings.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42808391","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
Graded weakly 1-absorbing prime ideals 分次弱1-吸收素理想
IF 0.5
Cubo Pub Date : 2022-08-01 DOI: 10.56754/0719-0646.2402.0291
Ünsal Tekir, Suat Koç, R. Abu-Dawwas, E. Yıldız
{"title":"Graded weakly 1-absorbing prime ideals","authors":"Ünsal Tekir, Suat Koç, R. Abu-Dawwas, E. Yıldız","doi":"10.56754/0719-0646.2402.0291","DOIUrl":"https://doi.org/10.56754/0719-0646.2402.0291","url":null,"abstract":"In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let (G) be a group and (R) be a (G)-graded commutative ring with a nonzero identity (1neq0). A proper graded ideal (P) of (R) is called a graded weakly 1-absorbing prime ideal if for each nonunits (x,y,zin h(R)) with (0neq xyzin P), then either (xyin P) or (zin P). We give many properties and characterizations of graded weakly 1-absorbing prime ideals. Moreover, we investigate weakly 1-absorbing prime ideals under homomorphism, in factor ring, in rings of fractions, in idealization.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48449153","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
Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line 半线上二阶脉冲Dirichlet边值问题的变分方法
IF 0.5
Cubo Pub Date : 2022-08-01 DOI: 10.56754/0719-0646.2402.0227
Meriem Djibaoui, T. Moussaoui
{"title":"Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line","authors":"Meriem Djibaoui, T. Moussaoui","doi":"10.56754/0719-0646.2402.0227","DOIUrl":"https://doi.org/10.56754/0719-0646.2402.0227","url":null,"abstract":"In this paper, the existence of solutions for a second-order impulsive differential equation with a parameter on the half-line is investigated. Applying Lax-Milgram theorem, we deal with a linear Dirichlet impulsive problem, while the non-linear case is established by using standard results of critical point theory.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48175219","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
Vlasov-Poisson equation in weighted Sobolev space (W^{m, p}(w)) 加权Sobolev空间中的Vlasov-Poisson方程(W^{m,p}(W))
IF 0.5
Cubo Pub Date : 2022-08-01 DOI: 10.56754/0719-0646.2402.0211
Cong He, Jingchun Chen
{"title":"Vlasov-Poisson equation in weighted Sobolev space (W^{m, p}(w))","authors":"Cong He, Jingchun Chen","doi":"10.56754/0719-0646.2402.0211","DOIUrl":"https://doi.org/10.56754/0719-0646.2402.0211","url":null,"abstract":"In this paper, we are concerned about the well-posedness of Vlasov-Poisson equation near vaccum in weighted Sobolev space (W^{m, p}(w)). The most difficult part comes from estimates of the electronic term (nabla_{x}phi). To overcome this difficulty, we establish the (L^p)-(L^q) estimates of the electronic term (nabla_{x}phi); some weight is introduced as well  to obtain the off-diagonal estimate. The weight is also useful when it comes to control the higher-order derivative term.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47765239","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
On Severi varieties as intersections of a minimum number of quadrics 关于作为最小数量二次曲面交集的Severi变种
IF 0.5
Cubo Pub Date : 2022-08-01 DOI: 10.56754/0719-0646.2402.0307
Hendrik Van Maldeghem, Magali Victoor
{"title":"On Severi varieties as intersections of a minimum number of quadrics","authors":"Hendrik Van Maldeghem, Magali Victoor","doi":"10.56754/0719-0646.2402.0307","DOIUrl":"https://doi.org/10.56754/0719-0646.2402.0307","url":null,"abstract":"Let ({mathscr{V}}) be a variety related to the second row of the Freudenthal-Tits Magic square in (N)-dimensional projective space over an arbitrary field. We show that there exist (Mleq N) quadrics intersecting precisely in ({mathscr{V}}) if and only if there exists a subspace of projective dimension (N-M) in the secant variety disjoint from the Severi variety. We present some examples of such subspaces of relatively large dimension. In particular, over the real numbers we show that the Cartan variety (related to the exceptional group ({E_6})((mathbb R))) is the set-theoretic intersection of 15 quadrics.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46183818","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
A characterization of 𝔽q-linear subsets of affine spaces 𝔽n q2 仿射空间𝔽q-linear子集的表征𝔽n q2
IF 0.5
Cubo Pub Date : 2022-04-01 DOI: 10.4067/s0719-06462022000100095
E. Ballico
{"title":"A characterization of 𝔽q-linear subsets of affine spaces 𝔽n q2","authors":"E. Ballico","doi":"10.4067/s0719-06462022000100095","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100095","url":null,"abstract":"","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42320214","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
Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements 对数改进幂加权birman - hardy - rellich型不等式中常数的最优性
IF 0.5
Cubo Pub Date : 2022-04-01 DOI: 10.4067/s0719-06462022000100115
F. Gesztesy, Isaac Michael, M. Pang
{"title":"Optimality of constants in power-weighted Birman-Hardy-Rellich-Type inequalities with logarithmic refinements","authors":"F. Gesztesy, Isaac Michael, M. Pang","doi":"10.4067/s0719-06462022000100115","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100115","url":null,"abstract":". The principal aim of this paper is to establish the optimality (i.e., sharpness) of the constants A ( m,α ) and B ( m,α ), m ∈ N , α ∈ R , of the form in the power-weighted Birman–Hardy–Rellich-type integral inequalities with logarithmic refinement terms recently proved in [41], namely, ˆ where sharpness is meant in the sense that A ( m,α ) as well as the N constants B ( m,α ) appearing in this inequality are optimal. Here the iterated logarithms are given by )) , j ∈ N , and the iterated exponentials are defined via e 0 = 0 , e j +1 = e e j , j ∈ N 0 = N ∪ { 0 } . Moreover, we prove the analogous sequence of inequalities on the exterior interval ( r, ∞ ) for f ∈ C ∞ 0 (( r, ∞ )), r ∈ (0 , ∞ ).","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47230997","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
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