Pub Date : 2024-02-29DOI: 10.21136/mb.2024.0065-23
Tayeb Benhamoud, E. Zaouche, M. Bousselsal
. This paper is concerned with the study of a nonlocal nonlinear parabolic problem associated with the equation u t − M ( R Ω φu d x )div ( A ( x, t, u ) ∇ u ) = g ( x, t, u ) in Ω × (0 , T ), where Ω is a bounded domain of R n ( n > 1), T > 0 is a positive number, A ( x, t, u ) is an n × n matrix of variable coefficients depending on u and M : R → R , φ : Ω → R , g : Ω × (0 , T ) × R → R are given functions. We consider two different assumptions on g . The existence of a weak solution for this problem is proved using the Schauder fixed point theorem for each of these assumptions. Moreover, if A ( x, t, u ) = a ( x, t ) depends only on the variable ( x, t ), we investigate two uniqueness theorems and give a continuity result depending on the initial data.
本文主要研究与方程 u t - M ( R Ω φu d x ) div ( A ( x, t, u ) ∇ u ) = g ( x, t, u ) 在 Ω × (0 , T ) 中相关的非局部非线性抛物问题，其中 Ω 是 R n ( n > 1) 的有界域，T > 0 是一个正数，A ( x, t, u ) 是一个 n × n 的可变系数矩阵，取决于 u 和 M：M : R → R , φ : Ω → R , g : Ω × (0 , T ) × R → R 是给定函数。我们考虑对 g 的两种不同假设。对于这两种假设，我们都可以利用绍德定点定理证明这个问题存在弱解。此外，如果 A ( x, t, u ) = a ( x, t ) 只取决于变量 ( x, t ) ，我们研究了两个唯一性定理，并给出了一个取决于初始数据的连续性结果。
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Pub Date : 2024-02-21DOI: 10.21136/mb.2024.0079-23
Abderrahman Hermas, A. Mamouni, L. Oukhtite
. Let R be a prime ring and I a nonzero ideal of R. The purpose of this paper is to classify generalized derivations of R satisfying some algebraic identities with power values on I. More precisely, we consider two generalized derivations F and H of R satisfying one of the following identities:
.让 R 是素环，I 是 R 的一个非零理想。本文的目的是对 R 的广义派生进行分类，这些派生满足 I 上幂值的一些代数同一性。更确切地说，我们考虑 R 的两个广义派生 F 和 H，这两个派生满足以下同一性：
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Pub Date : 2024-01-30DOI: 10.21136/mb.2024.0072-22
María Guadalupe Morales Macías
{"title":"Cauchy problem with Denjoy-Stieltjes integral","authors":"María Guadalupe Morales Macías","doi":"10.21136/mb.2024.0072-22","DOIUrl":"https://doi.org/10.21136/mb.2024.0072-22","url":null,"abstract":"","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140481823","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}
Pub Date : 2023-11-21DOI: 10.21136/mb.2023.0061-23
E. K. Nithiyanandham, B. S. Keerthi
. Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class p -Φ S ∗ ( t, µ, ν, J, K ) is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.
.本文基于 Mittag-Leffler 型泊松分布序列的概念，介绍了坂口型函数的几个子类。本文定义了类 p -Φ S∗ ( t, µ, ν, J, K )，并讨论了必要和必要条件、凸组合、增长失真约束和偏和。
{"title":"Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series","authors":"E. K. Nithiyanandham, B. S. Keerthi","doi":"10.21136/mb.2023.0061-23","DOIUrl":"https://doi.org/10.21136/mb.2023.0061-23","url":null,"abstract":". Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series. The class p -Φ S ∗ ( t, µ, ν, J, K ) is defined, and the necessary and sufficient condition, convex combination, growth distortion bounds, and partial sums are discussed.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139254657","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}
Pub Date : 2023-08-24DOI: 10.21136/mb.2023.0160-22
A. Retbi
{"title":"On the class of positive disjoint weak $p$-convergent operators","authors":"A. Retbi","doi":"10.21136/mb.2023.0160-22","DOIUrl":"https://doi.org/10.21136/mb.2023.0160-22","url":null,"abstract":"","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46422849","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}
Pub Date : 2023-08-22DOI: 10.21136/mb.2023.0003-23
S. Zriaa, M. Mouçouf
. We present some extensions of Chu’s formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
{"title":"Some extensions of Chu's formulas and further combinatorial identities","authors":"S. Zriaa, M. Mouçouf","doi":"10.21136/mb.2023.0003-23","DOIUrl":"https://doi.org/10.21136/mb.2023.0003-23","url":null,"abstract":". We present some extensions of Chu’s formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45565284","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}
Pub Date : 2023-08-21DOI: 10.21136/mb.2023.0055-23
Sungchol Kim, Dukman Ri
{"title":"$C^{1,alpha}$ regularity for elliptic equations with the general nonstandard growth conditions","authors":"Sungchol Kim, Dukman Ri","doi":"10.21136/mb.2023.0055-23","DOIUrl":"https://doi.org/10.21136/mb.2023.0055-23","url":null,"abstract":"","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46160520","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}
Pub Date : 2023-07-13DOI: 10.21136/mb.2023.0158-22
Manabu Naito
. The half-linear differential equation
.半线性微分方程
{"title":"A note on the existence of solutions with prescribed asymptotic behavior for half-linear ordinary differential equations","authors":"Manabu Naito","doi":"10.21136/mb.2023.0158-22","DOIUrl":"https://doi.org/10.21136/mb.2023.0158-22","url":null,"abstract":". The half-linear differential equation","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49152607","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}
Pub Date : 2023-06-14DOI: 10.21136/mb.2023.0133-22
D. Jakubíková-Studenovská, R. Pöschel, S. Radeleczki
{"title":"The minimal closed monoids for the Galois connection ${rm End}$-${rm Con}$","authors":"D. Jakubíková-Studenovská, R. Pöschel, S. Radeleczki","doi":"10.21136/mb.2023.0133-22","DOIUrl":"https://doi.org/10.21136/mb.2023.0133-22","url":null,"abstract":"","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46362146","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}
Pub Date : 2023-06-12DOI: 10.21136/mb.2023.0024-23
Jae‐Myoung Kim
. J. Q. Yang (2019) established a regularity criterion for the 3D shear thinning fluids in the whole space R 3 via two velocity components. The goal of this short note is to extend this result in viewpoint of Lorentz space.
{"title":"Remark on regularity criterion for weak solutions to the shear thinning fluids","authors":"Jae‐Myoung Kim","doi":"10.21136/mb.2023.0024-23","DOIUrl":"https://doi.org/10.21136/mb.2023.0024-23","url":null,"abstract":". J. Q. Yang (2019) established a regularity criterion for the 3D shear thinning fluids in the whole space R 3 via two velocity components. The goal of this short note is to extend this result in viewpoint of Lorentz space.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44606671","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}
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