Pub Date : 2023-08-25DOI: 10.5556/j.tkjm.55.2024.5127
Abel Nguelemo Kenfack, Francis Etienne Djiofack, David Dongo, Remy Magloire Etoua
We study the Einstein-Yang-Mills-Higgs (EYMH) system with a positive cosmological constant in the Bianchi type I space-time with locally rotational symmetry (LRS). In particular, we consider the nonlinear interaction of the Higgs field with the Yang-Mills field coupled to an unknown gravitational field. For the considered model, from certain additional conditions (the temporal gauge and some symmetries), we derive the conservation laws for the field equations and we then deduce the exact formulation of equations in the geometric framework. Furthermore, using an iterative approch and some mathematical analysis tools, we study the above system of equations. We then establish a global existence result for the homogeneous solution and we analyse its asymptotic behaviour.
{"title":"Asymptotic behaviour of the Einstein-Yang-Mills-Higgs system in a Bianchi type I model","authors":"Abel Nguelemo Kenfack, Francis Etienne Djiofack, David Dongo, Remy Magloire Etoua","doi":"10.5556/j.tkjm.55.2024.5127","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5127","url":null,"abstract":"We study the Einstein-Yang-Mills-Higgs (EYMH) system with a positive cosmological constant in the Bianchi type I space-time with locally rotational symmetry (LRS). In particular, we consider the nonlinear interaction of the Higgs field with the Yang-Mills field coupled to an unknown gravitational field. For the considered model, from certain additional conditions (the temporal gauge and some symmetries), we derive the conservation laws for the field equations and we then deduce the exact formulation of equations in the geometric framework. Furthermore, using an iterative approch and some mathematical analysis tools, we study the above system of equations. We then establish a global existence result for the homogeneous solution and we analyse its asymptotic behaviour.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134930675","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 : 2023-07-07DOI: 10.5556/j.tkjm.55.2024.5134
Arezoo Solimaninia, G. Afrouzi, H. Haghshenas
Based on the variational methods and critical-point theory, we are concerned with the existence results for a second-order impulsive boundary value problem involving an ordinary differential equation with $p(x)$-Laplacian operator, and Neumann conditions.
{"title":"Variational approach to impulsive Neumann problems with variable exponents and two parameters","authors":"Arezoo Solimaninia, G. Afrouzi, H. Haghshenas","doi":"10.5556/j.tkjm.55.2024.5134","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5134","url":null,"abstract":"Based on the variational methods and critical-point theory, we are concerned with the existence results for a second-order impulsive boundary value problem involving an ordinary differential equation with $p(x)$-Laplacian operator, and Neumann conditions.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80008295","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 : 2023-07-05DOI: 10.5556/j.tkjm.55.2023.5094
Mehdi Naimi, M. Benharrat
The main purpose of this paper is to give an improvement of numerical radius inequality for an upper triangular operator matrix.
本文的主要目的是给出上三角算子矩阵的数值半径不等式的一种改进。
{"title":"On the numerical radius of an upper triangular operator matrix","authors":"Mehdi Naimi, M. Benharrat","doi":"10.5556/j.tkjm.55.2023.5094","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2023.5094","url":null,"abstract":"The main purpose of this paper is to give an improvement of numerical radius inequality for an upper triangular operator matrix.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75858976","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 : 2023-05-22DOI: 10.5556/j.tkjm.55.2024.5126
Alex M. Montes, Ricardo Córdoba
Using an appropriate Carleman-type estimate, we establish a result of unique continuation for a special class of one-dimensional systems that model the evolution of long water waves with small amplitude in the presence of surface tension.
{"title":"A unique continuation result for a system of nonlinear differential equations","authors":"Alex M. Montes, Ricardo Córdoba","doi":"10.5556/j.tkjm.55.2024.5126","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5126","url":null,"abstract":"Using an appropriate Carleman-type estimate, we establish a result of unique continuation for a special class of one-dimensional systems that model the evolution of long water waves with small amplitude in the presence of surface tension.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83596170","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 : 2023-05-17DOI: 10.5556/j.tkjm.55.2024.5044
A. Siddiqui, K. Ahmad
In the sixties, A. Gray cite{Gr} and B. O'Neill cite{O1} come with the notion of Riemannian submersions as a tool to study the geometry of a Riemannian manifold with an additional structure in terms of the fibers and the base space. Riemannian submersions have long been an effective tool to construct Riemannian manifolds with positive or nonnegative sectional curvature in Riemannian geometry and compare certain manifolds within differential geometry. In particular, many examples of Einstein manifolds can be constructed by using such submersions. It is very well known that Riemannian submersions have applications in physics, for example Kaluza-Klein theory, Yang-Mills theory, supergravity and superstring theories.
{"title":"A study of statistical submersions","authors":"A. Siddiqui, K. Ahmad","doi":"10.5556/j.tkjm.55.2024.5044","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5044","url":null,"abstract":"In the sixties, A. Gray cite{Gr} and B. O'Neill cite{O1} come with the notion of Riemannian submersions as a tool to study the geometry of a Riemannian manifold with an additional structure in terms of the fibers and the base space. Riemannian submersions have long been an effective tool to construct Riemannian manifolds with positive or nonnegative sectional curvature in Riemannian geometry and compare certain manifolds within differential geometry. In particular, many examples of Einstein manifolds can be constructed by using such submersions. It is very well known that Riemannian submersions have applications in physics, for example Kaluza-Klein theory, Yang-Mills theory, supergravity and superstring theories.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76255002","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 : 2023-05-03DOI: 10.5556/j.tkjm.55.2024.5079
N. Kumari
In this study, PPF dependent fixed point theorems are proved for a nonlinear operator, where the domain space $C[[a, b], E]$ is distinct from the range space, $E$, which is a Strong Partial b-metric space (SPbMS). We obtain existence and uniqueness of PPF dependent fixed point results for the defined mappings under SPbMS. Our results are the extension of fixed point results in SPbMS. Examples are provided in the support of results.
{"title":"Fixed point theorems with PPF dependence in strong partial b-metric spaces","authors":"N. Kumari","doi":"10.5556/j.tkjm.55.2024.5079","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5079","url":null,"abstract":"In this study, PPF dependent fixed point theorems are proved for a nonlinear operator, where the domain space $C[[a, b], E]$ is distinct from the range space, $E$, which is a Strong Partial b-metric space (SPbMS). We obtain existence and uniqueness of PPF dependent fixed point results for the defined mappings under SPbMS. Our results are the extension of fixed point results in SPbMS. Examples are provided in the support of results.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75784832","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 : 2023-05-01DOI: 10.5556/j.tkjm.54.2023.3988
S. Dragomir
Some fundamental inequalities for Lerch transcendent function with positive terms by utilising certain classical results due to Hölder, Čebyšev, Grüss and others, are established. Some particular cases of interest for Polylogarithm function, Hurwitz zeta function and Legendre chi function are also given.
{"title":"Inequalities for Lerch transcendent function","authors":"S. Dragomir","doi":"10.5556/j.tkjm.54.2023.3988","DOIUrl":"https://doi.org/10.5556/j.tkjm.54.2023.3988","url":null,"abstract":"Some fundamental inequalities for Lerch transcendent function with positive terms by utilising certain classical results due to Hölder, Čebyšev, Grüss and others, are established. Some particular cases of interest for Polylogarithm function, Hurwitz zeta function and Legendre chi function are also given.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79000157","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 : 2023-04-28DOI: 10.5556/j.tkjm.55.2024.5028
Nevin Ertuu{g} G"{u}rb"{u}z, D. Yoon
In this paper, we introduce the type-2 and the type-3 Positional Adapted Frame(PAF) of spacelike curve and timelike curve inMinkowski 3-space. From these PAFs, we study the evolutions of the electric field vectors of the type-2 and type-3 PAFs.As a result, we also investigate the Fermi-Walker parallel and the Lorentz force equation of the electric field vectors for the type-2 and type-3 PAFs in Minkowski 3-space.
{"title":"The evolution of the electric field along optical fiber with respect to the type-2 and 3 PAFs in Minkowski 3-space","authors":"Nevin Ertuu{g} G\"{u}rb\"{u}z, D. Yoon","doi":"10.5556/j.tkjm.55.2024.5028","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5028","url":null,"abstract":"In this paper, we introduce the type-2 and the type-3 Positional Adapted Frame(PAF) of spacelike curve and timelike curve inMinkowski 3-space. From these PAFs, we study the evolutions of the electric field vectors of the type-2 and type-3 PAFs.As a result, we also investigate the Fermi-Walker parallel and the Lorentz force equation of the electric field vectors for the type-2 and type-3 PAFs in Minkowski 3-space.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87625306","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 : 2023-04-26DOI: 10.5556/j.tkjm.55.2024.5097
Mebarka Sattaf, Brahim Khaldi
We study the following singular Kirchhoff type problem [left( Pright) left{ begin{array} [c]{c} -mleft({displaystyleintlimits_{Omega}}leftvert nabla urightvert ^{2}dxright) Delta u=hleft( uright) frac{e^{alpha u^{2}}}{leftvert xrightvert ^{beta}}text{ in} Omega, u=0 text{on}; partialOmega end{array} right. ] where $Omegasubsetmathbb{R}^{2}$ is a bounded domain with smooth boundary and $0inOmega,$ $betainleft[ 0,2right)$, $alpha>0$ and $m$ is a continuous function on $mathbb{R}^{+}.$ Here, $h$ is a suitable preturbation of $e^{alpha u^{2}}$ as $urightarrowinfty.$ In this paper, we prove the existence of solutions of $(P)$. Our tools are Trudinger-Moser inequality with a singular weight and the mountain pass theorem
{"title":"On a class of Kirchhoff type problems with singular exponential nonlinearity","authors":"Mebarka Sattaf, Brahim Khaldi","doi":"10.5556/j.tkjm.55.2024.5097","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5097","url":null,"abstract":"We study the following singular Kirchhoff type problem \u0000[left( Pright) left{ \u0000begin{array} [c]{c} \u0000-mleft({displaystyleintlimits_{Omega}}leftvert nabla urightvert ^{2}dxright) Delta u=hleft( uright) \u0000frac{e^{alpha u^{2}}}{leftvert xrightvert ^{beta}}text{ in} Omega, \u0000u=0 text{on}; partialOmega \u0000end{array} right. \u0000] \u0000where $Omegasubsetmathbb{R}^{2}$ is a bounded domain with smooth boundary and $0inOmega,$ $betainleft[ 0,2right)$, $alpha>0$ and $m$ is a continuous function \u0000on $mathbb{R}^{+}.$ Here, $h$ is a suitable preturbation of $e^{alpha u^{2}}$ as $urightarrowinfty.$ In this paper, we prove the existence of solutions of \u0000$(P)$. Our tools are Trudinger-Moser inequality with a singular weight and the mountain pass theorem","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76265564","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 : 2023-03-31DOI: 10.5556/j.tkjm.55.2024.5120
M. A. Pathan, M. Shahwan, M. Bin-Saad
Based on the generalized extended beta function, we shall introduce and study a new hypergeometric-type extended zeta function together with related integral representations, differential relations, finite sums, and series expansions. Also, we present a relationship between the extended zeta function and the Laguerre polynomials. Our hypergeometric type extended zeta function involves several known zeta functions including the Riemann, Hurwitz, Hurwitz-Lerch, and Barnes zeta functions as particular cases.
{"title":"Hypergeometric type extended bivariate zeta function","authors":"M. A. Pathan, M. Shahwan, M. Bin-Saad","doi":"10.5556/j.tkjm.55.2024.5120","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5120","url":null,"abstract":"Based on the generalized extended beta function, we shall introduce and study a new hypergeometric-type extended zeta function together with related integral representations, differential relations, finite sums, and series expansions. Also, we present a relationship between the extended zeta function and the Laguerre polynomials. Our hypergeometric type extended zeta function involves several known zeta functions including the Riemann, Hurwitz, Hurwitz-Lerch, and Barnes zeta functions as particular cases.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81918950","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：