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On the existence of almost automorphic generalized solutions to some generalized differential equations 关于一类广义微分方程概自同构广义解的存在性
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.63116
Mohamed Elomari, M. Chaib, S. Melliani
{"title":"On the existence of almost automorphic generalized solutions to some generalized differential equations","authors":"Mohamed Elomari, M. Chaib, S. Melliani","doi":"10.5269/bspm.63116","DOIUrl":"https://doi.org/10.5269/bspm.63116","url":null,"abstract":"This paper is devoted to study some regularity of almost automorphic and asymptotic almost automorphic generalized solution of the differential equation d dtu(t) = Au(t) + f(t), in the framework of the Colombeau algebras. Under certain assumptions about the second member we showed that the generalized solution is an asmptotically almost automorphic in the sense of genaralized functions.","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":"41333036","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
Global dynamics of a discrete SEIR epidemic model with treatment 具有治疗的离散SEIR流行病模型的全局动力学
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62203
M. DarAssi, Mohammad-Ayman A. Safi
{"title":"Global dynamics of a discrete SEIR epidemic model with treatment","authors":"M. DarAssi, Mohammad-Ayman A. Safi","doi":"10.5269/bspm.62203","DOIUrl":"https://doi.org/10.5269/bspm.62203","url":null,"abstract":"The global dynamics of a discrete SEIR epidemic model with treatment has been considered. A unique positive solution for the proposed model with the positive initial conditions is obtained. The stability analysis of the disease-free equilibrium and endemic equilibrium have been investigated. It has been proved that the DFE is globally asymptotically stable when the basic reproduction number $mathcal{R}_0leq1$. The proposed model has a unique endemic equilibrium that is globally asymptotically stable whenever $tilde{mathcal{R}}_0>1$. The theoretical results are illustrated by a numerical simulation.","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":"46288557","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 multiplicity of solutions for the critical problem involving the fracional p-Laplacian operator 涉及分数阶p-拉普拉斯算子的临界问题解的多重性
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62706
Djamel Abid, K. Akrout, A. Ghanmi
{"title":"The multiplicity of solutions for the critical problem involving the fracional p-Laplacian operator","authors":"Djamel Abid, K. Akrout, A. Ghanmi","doi":"10.5269/bspm.62706","DOIUrl":"https://doi.org/10.5269/bspm.62706","url":null,"abstract":"This paper deals with the existence of multiple solutions \u0000for the following critical fractional $p$-Laplacian problem \u0000begin{equation*} \u0000left{ \u0000begin{array}{l} \u0000mathbf{(-}Delta mathbf{)}_{p}^{s}u(x)=lambda leftvert urightvert \u0000^{p-2}u+f(x,u)+mu g(x,u) text{in }Omega ,u>0, \u0000 \u0000u=0text{ on} mathbb{R}^{n}setminus Omega ,% \u0000end{array}% \u0000right. \u0000end{equation*}% \u0000where $p>1$, $sin (0,1)$, $Omega subset mathbb{R}^{n}(n>ps),$ be a bounded smooth domain, $lambda $, $mu $ are positive parameters and the functions $f,g:overline{% \u0000Omega }times lbrack 0,infty )longrightarrow [0,infty),$ are continuous and differentiable with respect to the second variable. Our main tools are based on variational methods combined with a classical concentration \u0000compacteness 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":"44509207","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
Nonlinear elliptic problems involving the generalized p(u)-Laplacian operator with Fourier boundary condition 具有傅里叶边界条件的广义p(u)-拉普拉斯算子非线性椭圆问题
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62948
C. Allalou, Said Ait Temghart, K. Hilal
{"title":"Nonlinear elliptic problems involving the generalized p(u)-Laplacian operator with Fourier boundary condition","authors":"C. Allalou, Said Ait Temghart, K. Hilal","doi":"10.5269/bspm.62948","DOIUrl":"https://doi.org/10.5269/bspm.62948","url":null,"abstract":"This paper considers the existence of entropy solutions for some generalized elliptic p(u)-Laplacian problem with Fourier boundary conditions, when the variable exponent p is a real continuous function and we have dependency on the solution u. We get the results by assuming the right-hand sidefunction f to be an integrable function, and by using the regularization approach combined with the theoryof Sobolev spaces with variable exponents.","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":"48121057","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
Flexible modules and graded rings 柔性模块和分级环
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62550
Fida Moh'd, Mamoon Ahmed, Mashoor Refai
{"title":"Flexible modules and graded rings","authors":"Fida Moh'd, Mamoon Ahmed, Mashoor Refai","doi":"10.5269/bspm.62550","DOIUrl":"https://doi.org/10.5269/bspm.62550","url":null,"abstract":"A G−graded R−module is called flexible if Mg = RgMe for every g ∈ G. In this paper, we study the relationship between a flexible module and the graded ring R through different aspects. On one hand, we distinguish the flexible modules from other graded modules by characterizing the influence of the e-component of a flexiblemodule on the graded module itself. On the other hand, we extend the class covered by flexible graded modules to include free and projective modules in a comparatively simple manner.","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":"49566911","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 class of fractional Langevin inclusion with multi-point boundary conditions 一类具有多点边界条件的分数Langevin包含
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62725
Hamid Lmou, K. Hilal, A. Kajouni
{"title":"On a class of fractional Langevin inclusion with multi-point boundary conditions","authors":"Hamid Lmou, K. Hilal, A. Kajouni","doi":"10.5269/bspm.62725","DOIUrl":"https://doi.org/10.5269/bspm.62725","url":null,"abstract":"The aim of this paper deals with the existence results for a class of fractional langevin inclusion with multi-point boundary conditions. To prove the main results, we use the fixed theoreme for condensing multivalued maps, which is applicable to completely continuous operators. Our results extend and generalize several corespending 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":"49348208","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
Weak solutions for double phase problem driven by the (p(x),q(x))-Laplacian operator under Dirichlet boundary conditions Dirichlet边界条件下(p(x)，q(x))-拉普拉斯算子驱动双相问题的弱解
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62182
Mohamed El Ouaarabi, C. Allalou, S. Melliani
{"title":"Weak solutions for double phase problem driven by the (p(x),q(x))-Laplacian operator under Dirichlet boundary conditions","authors":"Mohamed El Ouaarabi, C. Allalou, S. Melliani","doi":"10.5269/bspm.62182","DOIUrl":"https://doi.org/10.5269/bspm.62182","url":null,"abstract":"In the present paper, in view of the topological degree methods and the theory of the variable exponent Sobolev spaces, we discuss a Dirichlet boundary value problem for elliptic equations involving the $(p(x),q(x))$-Laplacian operator with a reaction term depending on the gradient and on two real parameters. Under certain assumptions, we establish the existence of at least one weak solution to this problem. Our results extends some recent work in the 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":"48976659","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
Semiprime rings with generalized homoderivations 具有广义同导子的半素环
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62479
A. Boua, Emine Koc Sogutcu
{"title":"Semiprime rings with generalized homoderivations","authors":"A. Boua, Emine Koc Sogutcu","doi":"10.5269/bspm.62479","DOIUrl":"https://doi.org/10.5269/bspm.62479","url":null,"abstract":"This study develops some results involving generalized homoderivation in semiprime rings and investigates the commutativity of semiprime rings admitting generalized homoderivations of ring R satisfying certain identities and some related results have also been discussed.","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":"42110050","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
Some identities in quotient rings 商环上的一些恒等式
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62481
Mouhamadi El Hamdaoui, A. Boua, G. Sandhu
{"title":"Some identities in quotient rings","authors":"Mouhamadi El Hamdaoui, A. Boua, G. Sandhu","doi":"10.5269/bspm.62481","DOIUrl":"https://doi.org/10.5269/bspm.62481","url":null,"abstract":"Let R be an associative ring, P a prime ideal of R: In this paper, we study the structure of the ring R=P and describe the possible forms of the generalized derivations satisfying certain algebraic identities on R: As a consequence of our theorems, we first investigate strong commutativity preserving generalized derivations of prime rings, and then examine the generalized derivations acting as (anti)homomorphisms in prime rings. Some commutativity theorems also given in semi-prime rings.","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":"46661170","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
Results on various derivations and Posner’s theorem in prime ideals of rings 环素数理想中各种导数和波斯纳定理的结果
IF 0.5
Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI: 10.5269/bspm.62478
A. Boua, G. Sandhu
{"title":"Results on various derivations and Posner’s theorem in prime ideals of rings","authors":"A. Boua, G. Sandhu","doi":"10.5269/bspm.62478","DOIUrl":"https://doi.org/10.5269/bspm.62478","url":null,"abstract":"Let R be a ring and P be a prime ideal of R: In this work, we study the structure of the quotient ring R=P in a new and more general way by discussing various algebraic identities on appropriate subsets of R involving multiplicative (generalized)-(α; β)-derivations, multiplicative generalized (α; β)-derivations, multiplicative generalized derivations and generalized derivations. In addition, we give examples exhibiting the cruciality of the hypothesis of our results.","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":"44174708","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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