Pub Date : 2024-07-18DOI: 10.21136/mb.2024.0156-23
Arun Kumar Tripathy, Shibanee Sahu
. This work deals with the analysis pertaining some dynamic behavior of vector solutions of first order two-dimensional neutral delay differential systems of the form
.这项研究分析了一阶二维中性延迟二重积分系统的矢量解的一些动态行为，其形式为
{"title":"Dynamic behavior of vector solutions of a class of 2-D neutral differential systems","authors":"Arun Kumar Tripathy, Shibanee Sahu","doi":"10.21136/mb.2024.0156-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0156-23","url":null,"abstract":". This work deals with the analysis pertaining some dynamic behavior of vector solutions of first order two-dimensional neutral delay differential systems of the form","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141824202","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 : 2024-07-02DOI: 10.21136/mb.2024.0104-23
H. Khochemane, Sara Labidi, Sami Loucif, A. Djebabla
. We consider a one-dimensional porous-elastic system with porous-viscosity and a distributed delay of neutral type. First, we prove the global existence and uniqueness of the solution by using the Faedo-Galerkin approximations along with some energy estimates. Then, based on the energy method with some appropriate assumptions on the kernel of neutral delay term, we construct a suitable Lyapunov functional and we prove that, despite of the destructive nature of delays in general, the damping mechanism considered provokes an exponential decay of the solution for the case of equal speed of wave propagation. In the case of lack of exponential stability, we show that the solution decays polynomially.
{"title":"Global well-posedness and energy decay for a one dimensional porous-elastic\u0000 \u0000system subject to a neutral delay","authors":"H. Khochemane, Sara Labidi, Sami Loucif, A. Djebabla","doi":"10.21136/mb.2024.0104-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0104-23","url":null,"abstract":". We consider a one-dimensional porous-elastic system with porous-viscosity and a distributed delay of neutral type. First, we prove the global existence and uniqueness of the solution by using the Faedo-Galerkin approximations along with some energy estimates. Then, based on the energy method with some appropriate assumptions on the kernel of neutral delay term, we construct a suitable Lyapunov functional and we prove that, despite of the destructive nature of delays in general, the damping mechanism considered provokes an exponential decay of the solution for the case of equal speed of wave propagation. In the case of lack of exponential stability, we show that the solution decays polynomially.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141686180","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 : 2024-07-01DOI: 10.21136/mb.2024.0126-23
Manoj Dhake, Sachin Ballal, V. Kharat, R. Shewale
. We characterize the pseudomodular lattices by means of a forbidden configu-ration.
.我们通过一个禁止符来描述伪模态网格的特征。
{"title":"On forbidden configuration of pseudomodular lattices","authors":"Manoj Dhake, Sachin Ballal, V. Kharat, R. Shewale","doi":"10.21136/mb.2024.0126-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0126-23","url":null,"abstract":". We characterize the pseudomodular lattices by means of a forbidden configu-ration.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141711769","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}
. The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients | a 2 | and | a 3 | have also been estimated.
.由平衡多项式定义的坂口型函数类作为双等价函数的一个新子类被引入。此外，还估算了 Fekete-Szegö 不等式和初始系数 | a 2 | 和 | a 3 | 的边界。
{"title":"Sakaguchi type functions defined by balancing polynomials","authors":"Gunasekar Saravanan, Sudharsanan Baskaran, Balasubramaniam Vanithakumari, Serap Bulut","doi":"10.21136/mb.2024.0173-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0173-23","url":null,"abstract":". The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients | a 2 | and | a 3 | have also been estimated.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141365713","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 : 2024-06-05DOI: 10.21136/mb.2024.0107-23
Abdelkader Dahmani, B. Belaïdi
. Firstly we study the growth of meromorphic solutions of linear difference equation of the form
.首先，我们研究了线性二元对立方程中的分形解的增长，其形式为
{"title":"Finite logarithmic order meromorphic solutions of linear difference/differential-difference equations","authors":"Abdelkader Dahmani, B. Belaïdi","doi":"10.21136/mb.2024.0107-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0107-23","url":null,"abstract":". Firstly we study the growth of meromorphic solutions of linear difference equation of the form","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141381906","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 : 2024-05-06DOI: 10.21136/mb.2024.0017-23
Navamanirajan Abhilash, E. Nandakumar, R. Sharma, Gaurav Mittal
. We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups
{"title":"Structure of the unit group of the group algebras of non-metabelian groups of order 128","authors":"Navamanirajan Abhilash, E. Nandakumar, R. Sharma, Gaurav Mittal","doi":"10.21136/mb.2024.0017-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0017-23","url":null,"abstract":". We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141008876","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 : 2024-04-17DOI: 10.21136/mb.2024.0095-23
Payel Karmakar
. We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions for the screen distribution S ( TM ) to be integrable and for the induced connection ∇ to be a metric connection.
.我们研究了独立肯莫特流形的全接触脐屏斜光样子流形和全接触脐屏横光样子流形。我们证明了独立建模流形的全接触脐屏斜光样子流形的特征定理。我们进一步证明了关于独立肯莫特流形的完全接触脐基屏横光似子流形的一些结果，如屏分布 S ( TM ) 可积分的必要和必要条件，以及诱导连接∇是一个度量连接的必要和必要条件。
{"title":"Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds\u0000 \u0000of indefinite Kenmotsu manifold","authors":"Payel Karmakar","doi":"10.21136/mb.2024.0095-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0095-23","url":null,"abstract":". We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions for the screen distribution S ( TM ) to be integrable and for the induced connection ∇ to be a metric connection.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140691756","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 : 2024-04-03DOI: 10.21136/mb.2024.0120-23
S. Niazian, M. Aaly Kologani, R. Borzooei
. We introduce the notion of relative co-annihilator in lattice equality algebras and investigate some important properties of it. Then, we obtain some interesting relations among ∨ -irreducible filters, positive implicative filters, prime filters and relative co-annihilators. Given a lattice equality algebra E and F a filter of E , we define the set of all F - involutive filters of E and show that by defining some operations on it, it makes a BL-algebra.
.我们引入了网格等价代数中的相对共湮器概念，并研究了它的一些重要性质。然后，我们得到了 ∨ - 不可还原符、正蕴涵符、素符和相对同消元之间的一些有趣关系。给定一个网格相等代数 E 和 E 的一个符，我们定义了 E 的所有 F - 非内含符的集合，并证明通过对它定义一些运算，它构成了一个 BL 代数。
{"title":"Relative co-annihilators in lattice equality algebras","authors":"S. Niazian, M. Aaly Kologani, R. Borzooei","doi":"10.21136/mb.2024.0120-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0120-23","url":null,"abstract":". We introduce the notion of relative co-annihilator in lattice equality algebras and investigate some important properties of it. Then, we obtain some interesting relations among ∨ -irreducible filters, positive implicative filters, prime filters and relative co-annihilators. Given a lattice equality algebra E and F a filter of E , we define the set of all F - involutive filters of E and show that by defining some operations on it, it makes a BL-algebra.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140748453","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 : 2024-03-21DOI: 10.21136/mb.2024.0075-23
Meryem Chetti, K. Hamani
. We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonho-mogeneous linear differential equations.
.我们研究了线性二导方程的解析解的超阶性，这些方程的解析系数在奇异点附近具有相同的阶数。我们改进了 S. Cherief 和 S. Hamouda (2021) 以前给出的结果。我们还考虑了非均质线性二重方程。
{"title":"On the hyper-order of analytic solutions of linear differential equations near a finite singular point","authors":"Meryem Chetti, K. Hamani","doi":"10.21136/mb.2024.0075-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0075-23","url":null,"abstract":". We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonho-mogeneous linear differential equations.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140221734","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 : 2024-03-18DOI: 10.21136/mb.2024.0111-23
Sevilay Çoruh Şenocak, Salim Yüce
{"title":"Geometric approaches to establish the fundamentals of Lorentz spaces $mathbb{R}_2^3$ and $mathbb{R}_1^2$","authors":"Sevilay Çoruh Şenocak, Salim Yüce","doi":"10.21136/mb.2024.0111-23","DOIUrl":"https://doi.org/10.21136/mb.2024.0111-23","url":null,"abstract":"","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140231898","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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