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On zero-power valued homoderivations in 3-prime near-rings 关于3素数近环上的零幂值同导
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62741
A. En-guady, S. Mouhssine, A. Boua
{"title":"On zero-power valued homoderivations in 3-prime near-rings","authors":"A. En-guady, S. Mouhssine, A. Boua","doi":"10.5269/bspm.62741","DOIUrl":"https://doi.org/10.5269/bspm.62741","url":null,"abstract":"We will start this article by proving a crucial concept, which will allow us to overcome a set of obstacles we encountered in previous articles concerning the commutativity of near-ring involving homoderivations and Jordan ideals. Furthermore, we present examples to show that limitations imposed in the hypothesis of our results are necessary.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45232876","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
Amenable quase-lattice ordered groups and true representations 可服从拟格序群与真表示
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62552
M-Alamin A. H. Ahmed
{"title":"Amenable quase-lattice ordered groups and true representations","authors":"M-Alamin A. H. Ahmed","doi":"10.5269/bspm.62552","DOIUrl":"https://doi.org/10.5269/bspm.62552","url":null,"abstract":"Let (G, P) be a quasi-lattice ordered group. In [2] we constructed a universal covariant representation (A,U) for (G, P) in a way that avoids some of the intricacies of the other approaches in [11] and [8]. Then we showed if (G, P) is amenable, true representations of (G, P) generate C∗-algebras which are canonically isomorphic to the C∗-algebra generated by the universal covariant representation. In this paper, we discuss characterizations of amenability in a comparatively simple and natural way to introduce this formidable property. Amenability of (G, P) can be established by investigating the behavior of ΦU on the range of a positive, faithful, linear map rather than the whole algebra.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47757030","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
A mathematical model and optimal control analysis for scholar Drop out 学者退学的数学模型及最优控制分析
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62650
Ahmed Kourrad, Anime Alabkari, K. Adnaoui, F. Lahmidi, Y. Tabit, Abderrahim El Adraoui
{"title":"A mathematical model and optimal control analysis for scholar Drop out","authors":"Ahmed Kourrad, Anime Alabkari, K. Adnaoui, F. Lahmidi, Y. Tabit, Abderrahim El Adraoui","doi":"10.5269/bspm.62650","DOIUrl":"https://doi.org/10.5269/bspm.62650","url":null,"abstract":"In this paper, we proposed and analyzed a non-linear mathematical model for scholar Drop out and we advanced an optimal control policy for this model by considering three variables namely the numbers of school-age children who are in school, school-age children who are out of school, and school-age children in non-formal education. The model is examined using the stability theory of differential equations. The optimal control analysis for the proposed scholar Drop out model is performed using Pontryagin's maximum principle. The conditions for optimal control of the problem with effective use of implemented policies to counter this scourge are derived and analyzed.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44463546","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 controllability results for fuzzy neutral stochastic differential equations with impulses 带有脉冲的模糊中立型随机微分方程的存在性和可控性结果
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62765
Elhoussain Arhrrabi, M. Elomari, S. Melliani, L. S. Chadli
{"title":"Existence and controllability results for fuzzy neutral stochastic differential equations with impulses","authors":"Elhoussain Arhrrabi, M. Elomari, S. Melliani, L. S. Chadli","doi":"10.5269/bspm.62765","DOIUrl":"https://doi.org/10.5269/bspm.62765","url":null,"abstract":"In this paper, the existence, uniqueness and controllability of solutions for fuzzy neutral stochastic differential equations $($FNSDEs$)$ with impulses are considered based on the Banach fixed point theorem.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42905023","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
Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m 空间R^m中Helmholtz方程矩阵分解的柯西问题
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62831
Davron Aslonqulovich Juraev, M. Cavalcanti
{"title":"Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m","authors":"Davron Aslonqulovich Juraev, M. Cavalcanti","doi":"10.5269/bspm.62831","DOIUrl":"https://doi.org/10.5269/bspm.62831","url":null,"abstract":"In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a three-dimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based on the Carleman matrix method.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43132322","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
Existence and uniqueness results for a neutral erythropoiesis model with iterative production and harvesting terms 具有迭代产生项和收获项的中性红细胞生成模型的存在唯一性结果
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62529
Marwa Khemis, Ahlème Bouakkaz
{"title":"Existence and uniqueness results for a neutral erythropoiesis model with iterative production and harvesting terms","authors":"Marwa Khemis, Ahlème Bouakkaz","doi":"10.5269/bspm.62529","DOIUrl":"https://doi.org/10.5269/bspm.62529","url":null,"abstract":"The main objective of this work is to study the existence, uniqueness and stability of positive periodic solutions for a first-order neutral differential equation with iterative terms which models the regulation of red blood cell production under a harvesting strategy. Benefiting from the Krasnoselskii's fixed point theorem as well as some properties of an obtained Green's function, we establish the existence of the solutions and taking advantage of the Banach fixed point theorem, we prove that the proposed equation has exactly one solution that depends continuously on parameters. Finally, two examples are exhibited to show the efficiency and application of our findings which are completely new and enrich the existing literature.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41990598","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
Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces 临界Fourier Besov-Morrey空间中Debye-Hüuckel系统的Gevrey类正则性和稳定性
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62517
Achraf Azanzal, C. Allalou, S. Melliani
{"title":"Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces","authors":"Achraf Azanzal, C. Allalou, S. Melliani","doi":"10.5269/bspm.62517","DOIUrl":"https://doi.org/10.5269/bspm.62517","url":null,"abstract":"In this paper, we study the analyticity of mild solutions to the Debye-Huckel system with small initial data in critical Fourier-Besov-Morrey spaces. Specifically, by using the Fourier localization argument, the Littlewood-Paley theory and bilinear-type fixed point theory, we prove that global-in-time mild solutions are Gevrey regular. As a consequence of analyticity, we get time decay of mild solutions in Fourier-BesovMorrey spaces. Finally, we show a blow-up criterion of the local-in-time mild solutions of the Debye-Huckel system.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49555398","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
Variable exponent $p(cdot)$-Kirchhoff type problem with convection in variable exponent Sobolev spaces 变指数Sobolev空间中的变指数$p（cdot）$-Kirchhoff型对流问题
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62976
Hasnae El Hammar, Mohamed El Ouaarabi, C. Allalou, S. Melliani
{"title":"Variable exponent $p(cdot)$-Kirchhoff type problem with convection in variable exponent Sobolev spaces","authors":"Hasnae El Hammar, Mohamed El Ouaarabi, C. Allalou, S. Melliani","doi":"10.5269/bspm.62976","DOIUrl":"https://doi.org/10.5269/bspm.62976","url":null,"abstract":"We establish the existence of weak solution for a class of $p(x)$-Kirchhoff type problem for the $p(x)$-Laplacian-like operators with Dirichlet boundary condition and with gradient dependence (convection) in the reaction term. Our result is obtained using the topological degree for a class of demicontinuous operators of generalized $(S_{+})$ type and the theory of the variable exponent Sobolev spaces. Our results extend and generalize several corresponding results from the existing literature.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44728334","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
On periodic solutions of a recruitment model with iterative terms and a nonlinear harvesting 具有迭代项和非线性收获的招聘模型的周期解
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62662
Lynda Mezghiche, R. Khemis
{"title":"On periodic solutions of a recruitment model with iterative terms and a nonlinear harvesting","authors":"Lynda Mezghiche, R. Khemis","doi":"10.5269/bspm.62662","DOIUrl":"https://doi.org/10.5269/bspm.62662","url":null,"abstract":"We consider a first-order delay differential equation involving iterative terms. We prove the existence of positive periodic and bounded solutions by utilizing the Schauder's fixed point theorem combined with the Green's functions method. Furthermore, by virtue of the Banach contraction principle, the uniqueness and stability of the solution are also analyzed. Our new results are illustrated with two examples that show the feasibility of our main findings.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42067923","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 full and nearly full operators in complex Banach spaces 复Banach空间中的满算子和近满算子
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62340
S. Al-Sa'di, Wilson Pacheco
{"title":"On full and nearly full operators in complex Banach spaces","authors":"S. Al-Sa'di, Wilson Pacheco","doi":"10.5269/bspm.62340","DOIUrl":"https://doi.org/10.5269/bspm.62340","url":null,"abstract":"A bounded linear operator $T$ on a complex Banach space $mathcal{X}$ is said to be full if $overline{Tmathcal{M}}=mathcal{M}$ for every invariant subspace $mathcal{M}$ of $mathcal{X}$. It is nearly full if $overline{Tmathcal{M}}$ has finite codimension in $mathcal{M}$. In this paper, we focus our attention to characterize full and nearly full operators in complex Banach spaces, showing that some valid results in complex Hilbert spaces can be generalized to this context.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44374724","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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