Pub Date : 2022-03-15DOI: 10.21136/mb.2022.0173-20
S. El-Deeb, S. Bulut
We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a q-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szegö problem for this class.
{"title":"Faber polynomial coefficient estimates of bi-univalent functions connected\u0000 \u0000with the $q$-convolution","authors":"S. El-Deeb, S. Bulut","doi":"10.21136/mb.2022.0173-20","DOIUrl":"https://doi.org/10.21136/mb.2022.0173-20","url":null,"abstract":"We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a q-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szegö problem for this class.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46689529","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 : 2022-03-03DOI: 10.21136/mb.2022.0036-21
G. Ayyappan, G. Chatzarakis, Thaniarasu Kumar, E. Thandapani
We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D3y(n) + f(n)y (σ(n)) = 0, where D3y(n) = ∆(b(n)∆(a(n)(∆y(n)) )) is studied. The main idea is to transform the semi-noncanonical operator into canonical form. Then we obtain new oscillation theorems for the studied equation. Examples are provided to illustrate the importance of the main results.
{"title":"Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations","authors":"G. Ayyappan, G. Chatzarakis, Thaniarasu Kumar, E. Thandapani","doi":"10.21136/mb.2022.0036-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0036-21","url":null,"abstract":"We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D3y(n) + f(n)y (σ(n)) = 0, where D3y(n) = ∆(b(n)∆(a(n)(∆y(n)) )) is studied. The main idea is to transform the semi-noncanonical operator into canonical form. Then we obtain new oscillation theorems for the studied equation. Examples are provided to illustrate the importance of the main results.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43243445","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 : 2022-02-24DOI: 10.21136/mb.2022.0141-20
M. Abdelli, A. Beniani, N. Mezouar, Ahmed Chahtou
We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with FaedoGalarkin method. We also established the asymptotic behavior of global solutions as t → ∞ by applying the Lyapunov method.
{"title":"Existence and stability results of nonlinear higher-order wave equation with a nonlinear source term and a delay term","authors":"M. Abdelli, A. Beniani, N. Mezouar, Ahmed Chahtou","doi":"10.21136/mb.2022.0141-20","DOIUrl":"https://doi.org/10.21136/mb.2022.0141-20","url":null,"abstract":"We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with FaedoGalarkin method. We also established the asymptotic behavior of global solutions as t → ∞ by applying the Lyapunov method.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49471237","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 : 2022-02-07DOI: 10.21136/mb.2022.0200-20
Cholmin Sin, Sin-Il Ri
We prove the existence of weak solutions for steady flows of electrorheological fluids with homogeneous Navier-slip type boundary conditions provided p(x) > 2n/(n+2). To prove this, we show Poincaréand Korn-type inequalities, and then construct Lipschitz truncation functions preserving the zero normal component in variable exponent Sobolev spaces.
{"title":"Existence of weak solutions for steady flows of electrorheological fluid with Navier-slip type boundary conditions","authors":"Cholmin Sin, Sin-Il Ri","doi":"10.21136/mb.2022.0200-20","DOIUrl":"https://doi.org/10.21136/mb.2022.0200-20","url":null,"abstract":"We prove the existence of weak solutions for steady flows of electrorheological fluids with homogeneous Navier-slip type boundary conditions provided p(x) > 2n/(n+2). To prove this, we show Poincaréand Korn-type inequalities, and then construct Lipschitz truncation functions preserving the zero normal component in variable exponent Sobolev spaces.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44867532","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}
{"title":"An inequality for Fibonacci numbers","authors":"H. Alzer, F. Luca","doi":"10.21136/mb.2022.0032-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0032-21","url":null,"abstract":"We extend an inequality for Fibonacci numbers published by P.G.Popescu and J. L.Díaz-Barrero in 2006.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46530009","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 : 2022-01-26DOI: 10.21136/mb.2022.0124-20
S. Ebrahimi Atani
Let L be a lattice with the greatest element 1. Following the concept of generalized small subfilter, we define g-supplemented filters and investigate the basic properties and possible structures of these filters.
{"title":"$G$-supplemented property in the lattices","authors":"S. Ebrahimi Atani","doi":"10.21136/mb.2022.0124-20","DOIUrl":"https://doi.org/10.21136/mb.2022.0124-20","url":null,"abstract":"Let L be a lattice with the greatest element 1. Following the concept of generalized small subfilter, we define g-supplemented filters and investigate the basic properties and possible structures of these filters.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45674188","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 : 2022-01-18DOI: 10.21136/mb.2022.0056-21
A. Azizi, M. M. Chems-Eddin, A. Zekhnini
Let k be a number field with a 2-class group isomorphic to the Klein fourgroup. The aim of this paper is to give a characterization of capitulation types using group properties. Furthermore, as applications, we determine the structure of the second 2-class groups of some special Dirichlet fields k = Q ( √ d, √ −1 ) , which leads to a correction of some parts in the main results of A.Azizi and A. Zekhini (2020).
{"title":"Note on the Hilbert 2-class field tower","authors":"A. Azizi, M. M. Chems-Eddin, A. Zekhnini","doi":"10.21136/mb.2022.0056-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0056-21","url":null,"abstract":"Let k be a number field with a 2-class group isomorphic to the Klein fourgroup. The aim of this paper is to give a characterization of capitulation types using group properties. Furthermore, as applications, we determine the structure of the second 2-class groups of some special Dirichlet fields k = Q ( √ d, √ −1 ) , which leads to a correction of some parts in the main results of A.Azizi and A. Zekhini (2020).","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47162081","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 : 2021-11-22DOI: 10.21136/mb.2021.0022-21
A. Naziri-Kordkandi
{"title":"$varphi$-multipliers on a class of topological algebras","authors":"A. Naziri-Kordkandi","doi":"10.21136/mb.2021.0022-21","DOIUrl":"https://doi.org/10.21136/mb.2021.0022-21","url":null,"abstract":"","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48027837","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 : 2021-11-22DOI: 10.21136/mb.2021.0121-20
Lahiri Indrajit, S. Majumder
In connection to a conjecture of W.Lü, Q. Li and C.Yang (2014), we prove a result on small function sharing by a power of a meromorphic function with few poles with a derivative of the power. Our results improve a number of known results.
{"title":"A power of a meromorphic function sharing two small functions with a derivative of the power","authors":"Lahiri Indrajit, S. Majumder","doi":"10.21136/mb.2021.0121-20","DOIUrl":"https://doi.org/10.21136/mb.2021.0121-20","url":null,"abstract":"In connection to a conjecture of W.Lü, Q. Li and C.Yang (2014), we prove a result on small function sharing by a power of a meromorphic function with few poles with a derivative of the power. Our results improve a number of known results.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45132648","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：