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Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation 非线性混合分数阶积分微分方程的存在性和吸引性定理
IF 0.5
Cubo Pub Date : 2020-12-01 DOI: 10.4067/s0719-06462020000300325
B. Dhage
{"title":"Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation","authors":"B. Dhage","doi":"10.4067/s0719-06462020000300325","DOIUrl":"https://doi.org/10.4067/s0719-06462020000300325","url":null,"abstract":"In this paper, we establish the existence and a global attractivity results for a nonlinear mixed quadratic and linearly perturbed hybrid fractional integrodifferential equation of second type involving the Caputo fractional derivative on unbounded intervals of real line with the mixed arguments of anticipations and retardation. The hybrid fixed point theorem of Dhage is used in the analysis of our nonlinear fractional integrodifferential problem. A positivity result is also obtained under certain usual natural conditions. Our hypotheses and claims have also been explained with the help of a natural realization.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43977548","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
Free dihedral actions on abelian varieties 阿贝尔变体上的自由二面体作用
IF 0.5
Cubo Pub Date : 2020-08-27 DOI: 10.4067/s0719-06462021000200239
Bruno Aguil'o Vidal
{"title":"Free dihedral actions on abelian varieties","authors":"Bruno Aguil'o Vidal","doi":"10.4067/s0719-06462021000200239","DOIUrl":"https://doi.org/10.4067/s0719-06462021000200239","url":null,"abstract":"We give a simple construction for hyperelliptic varieties defined as the quotient of a complex torus by the action of a dihedral group that contains no translations and fixes no points. This generalizes a construction given by Catanese and Demleitner for $D_4$ in dimension three.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42973939","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
Hyers-Ulam stability of an additive-quadratic functional equation 一类加性二次泛函方程的Hyers-Ulam稳定性
IF 0.5
Cubo Pub Date : 2020-08-01 DOI: 10.4067/s0719-06462020000200233
V. Govindan, Choonkill Park, S. Pinelas, T. Rassias
{"title":"Hyers-Ulam stability of an additive-quadratic functional equation","authors":"V. Govindan, Choonkill Park, S. Pinelas, T. Rassias","doi":"10.4067/s0719-06462020000200233","DOIUrl":"https://doi.org/10.4067/s0719-06462020000200233","url":null,"abstract":"In this paper, we introduce the following ((a,b,c))-mixed type functional equation of the form \u0000(g(ax_1+bx_2+cx_3 )-g(-ax_1+bx_2+cx_3 ) + g(ax_1-bx_2+cx_3 ))(-g(ax_1+bx_2-cx_3 ) + 2a^2 [g(x_1 ) + g(-x_1)] + 2b^2 [g(x_2 ) + g(-x_2)] + )(2c^2 [g(x_3 ) + g(-x_3)]+a[g(x_1 ) - g(-x_1)]+ b[g(x_2 )-g(-x_2)] + )  (c[g(x_3 )-g(-x_3)]=4g(ax_1+cx_3 )+2g(-bx_2)+)  (2g(bx_2)) \u0000where (a,b,c) are positive integers with (a>1), and investigate the solution and the Hyers-Ulam stability of the above functional equation in Banach spaces by using two different methods.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46688821","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
D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces d -度量空间与双曲加权函数空间间的复合算子
IF 0.5
Cubo Pub Date : 2020-08-01 DOI: 10.4067/s0719-06462020000200215
A. Kamal, T. I. Yassen
{"title":"D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces","authors":"A. Kamal, T. I. Yassen","doi":"10.4067/s0719-06462020000200215","DOIUrl":"https://doi.org/10.4067/s0719-06462020000200215","url":null,"abstract":"The aim of this paper is to introduce new hyperbolic classes of functions, which will be called ({mathcal{B}}^{*} _{alpha,;log}) and ({ F ^{*}_{log}}(p,q,s)) classes. Furthermore, we introduce (D)-metrics space in the hyperbolic type classes ({mathcal{B}}^{*} _{alpha,;log}) and ( { F ^{*}_{log}}(p,q,s)). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, necessary and sufficient conditions are given for the composition operator (C_phi) to be bounded and compact from ({mathcal{B}}^{*}_{alpha,;log}) to ({F ^{*}_{log}}(p,q,s)) spaces.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48254645","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
Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation 基孔肯雅动力学的数学建模：稳定性与仿真
IF 0.5
Cubo Pub Date : 2020-08-01 DOI: 10.4067/s0719-06462020000200177
R. Arora, Dharmendra Kumar, Ishita Jhamb, Avina Kaur Narang
{"title":"Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation","authors":"R. Arora, Dharmendra Kumar, Ishita Jhamb, Avina Kaur Narang","doi":"10.4067/s0719-06462020000200177","DOIUrl":"https://doi.org/10.4067/s0719-06462020000200177","url":null,"abstract":"Infection due to Chikungunya virus (CHIKV) has a substantially prolonged recuperation period that is a long period between the stage of infection and recovery. However, so far in the existing models (SIR and SEIR), this period has not been given due attention. Hence for this disease, we have modified the existing SEIR model by introducing a new section of human population which is in the recuperation stage or in other words the human population that is no more showing acute symptoms but is yet to attain complete recovery. A mathematical model is formulated and studied by means of existence and stability of its disease free equilibrium (DFE) and endemic equilibrium (EE) points in terms of the associated basic reproduction number ((R_0)).","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44211417","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
Certain results on the conharmonic curvature tensor of (κ, μ)-contact metric manifolds 关于（κ，μ）-接触度量流形的共调和曲率张量的若干结果
IF 0.5
Cubo Pub Date : 2020-04-01 DOI: 10.4067/s0719-06462020000100071
G. Divyashree, Venkatesha
{"title":"Certain results on the conharmonic curvature tensor of (κ, μ)-contact metric manifolds","authors":"G. Divyashree, Venkatesha","doi":"10.4067/s0719-06462020000100071","DOIUrl":"https://doi.org/10.4067/s0719-06462020000100071","url":null,"abstract":"The paper presents a study of ( (kappa,mu) )-contact metric manifolds satisfying certain conditions on the conharmonic curvature tensor.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43323614","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
Super-Halley method under majorant conditions in Banach spaces Banach空间主要条件下的Super-Halley方法
IF 0.5
Cubo Pub Date : 2020-04-01 DOI: 10.4067/s0719-06462020000100055
S. Nisha, P. K. Parida
{"title":"Super-Halley method under majorant conditions in Banach spaces","authors":"S. Nisha, P. K. Parida","doi":"10.4067/s0719-06462020000100055","DOIUrl":"https://doi.org/10.4067/s0719-06462020000100055","url":null,"abstract":"In this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences. Two important special cases of the convergence analysis based on the premises of Kantorovich and Smale type conditions have also been concluded. To show efficacy of our approach we have given three numerical examples.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45332772","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 Katugampola fractional order derivatives and Darboux problem for differential equations 微分方程的Katugampola分数阶导数和Darboux问题
IF 0.5
Cubo Pub Date : 2020-04-01 DOI: 10.4067/s0719-06462020000100125
D. Boucenna, A. B. Makhlouf, M. Hammami
{"title":"On Katugampola fractional order derivatives and Darboux problem for differential equations","authors":"D. Boucenna, A. B. Makhlouf, M. Hammami","doi":"10.4067/s0719-06462020000100125","DOIUrl":"https://doi.org/10.4067/s0719-06462020000100125","url":null,"abstract":"In this paper, we investigate the existence and uniqueness of solutions for the Darboux problem of partial differential equations with Caputo-Katugampola fractional derivative.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49007992","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
Bounds for the Generalized (Φ, f)-Mean Difference 广义(Φ， f)-均值差分的界
IF 0.5
Cubo Pub Date : 2020-04-01 DOI: 10.4067/S0719-06462020000100001
S. Dragomir
{"title":"Bounds for the Generalized (Φ, f)-Mean Difference","authors":"S. Dragomir","doi":"10.4067/S0719-06462020000100001","DOIUrl":"https://doi.org/10.4067/S0719-06462020000100001","url":null,"abstract":"In this paper we establish some bounds for the ( (Phi;f) )-mean difference introduced in the general settings of measurable spaces and Lebesgue integral, which is a two functions generalization of Gini mean difference that has been widely used by economists and sociologists to measure economic inequality.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42880404","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
Level sets regularization with application to optimization problems 水平集正则化在优化问题中的应用
IF 0.5
Cubo Pub Date : 2020-04-01 DOI: 10.4067/s0719-06462020000100137
M. Barro, S. Traoré
{"title":"Level sets regularization with application to optimization problems","authors":"M. Barro, S. Traoré","doi":"10.4067/s0719-06462020000100137","DOIUrl":"https://doi.org/10.4067/s0719-06462020000100137","url":null,"abstract":"Given a coupling function (c) and a non empty subset of ℝ, we define a closure operator. We are interested in extended real-valued functions  whose  sub-level sets are closed for this operator.  Since  this class of functions is closed under pointwise suprema, we introduce a regularization for  extended real-valued functions. By decomposition of the  closure operator using polarity scheme, we recover the  regularization by bi-conjugation. We apply our results to derive a strong duality for a minimization problem.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47910077","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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