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Tamkang Journal of Mathematics最新文献

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On the Diophantine Equation Fn = x^a pm x^b pm 1 in Mersenne and Fermat Numbers 丢番图方程Fn = x^a pm x^b pm 1在梅森数和费马数中的应用
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-15 DOI: 10.5556/J.TKJM.53.2022.3973
Carlos Gómez
{"title":"On the Diophantine Equation Fn = x^a pm x^b pm 1 in Mersenne and Fermat Numbers","authors":"Carlos Gómez","doi":"10.5556/J.TKJM.53.2022.3973","DOIUrl":"https://doi.org/10.5556/J.TKJM.53.2022.3973","url":null,"abstract":"In this article we investigate on the representation of Fibonacci numbers in the form x^a pm x^b pm 1, for x in the sequence of Mersenne and Fermat numbers.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89951608","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
Analyzing stability of equilibrium points in impulsive neural network models involving generalized piecewise alternately advanced and retarded argument 采用广义分段交替的方法分析了脉冲神经网络模型平衡点的稳定性
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-06 DOI: 10.22541/AU.161264069.97983099/V1
Kuo-Shou Chiu
{"title":"Analyzing stability of equilibrium points in impulsive neural network models involving generalized piecewise alternately advanced and retarded argument","authors":"Kuo-Shou Chiu","doi":"10.22541/AU.161264069.97983099/V1","DOIUrl":"https://doi.org/10.22541/AU.161264069.97983099/V1","url":null,"abstract":"In this paper, we investigate the models of the impulsive cellular\u0000neural network with piecewise alternately advanced and retarded argument\u0000of generalized argument (in short IDEPCAG). To ensure the existence,\u0000uniqueness and global exponential stability of the equilibrium state,\u0000several new sufficient conditions are obtained, which extend the results\u0000of the previous literature. The method is based on utilizing Banach’s\u0000fixed point theorem and a new IDEPCAG’s Gronwall inequality. The\u0000criteria given are easy to check and when the impulsive effects do not\u0000affect, the results can be extracted from those of the non-impulsive\u0000systems. Typical numerical simulation examples are used to show the\u0000validity and effectiveness of proposed results. We end the article with\u0000a brief conclusion.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83130021","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
General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term 具有记忆和分布延迟项的一维多孔弹性问题解的一般衰减
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI: 10.5556/J.TKJM.52.2021.3519
A. Choucha, D. Ouchenane, K. Zennir
{"title":"General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term","authors":"A. Choucha, D. Ouchenane, K. Zennir","doi":"10.5556/J.TKJM.52.2021.3519","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3519","url":null,"abstract":"As a continuity to the study by T. A. Apalarain[3], we consider a one-dimensional porous-elastic system with the presence of both memory and distributed delay terms in the second equation. Using the well known energy method combined with Lyapunov functionals approach, we prove a general decay result given in Theorem 2.1.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79299677","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: 8
Symmetries of Sasakian Generalized Sasakian-Space-Form Admitting Generalized Tanaka–Webster Connection 承认广义Tanaka-Webster连接的Sasakian广义sasaki -空间形式的对称性
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI: 10.5556/J.TKJM.52.2021.3246
C. Lalmalsawma, J. Singh
{"title":"Symmetries of Sasakian Generalized Sasakian-Space-Form Admitting Generalized Tanaka–Webster Connection","authors":"C. Lalmalsawma, J. Singh","doi":"10.5556/J.TKJM.52.2021.3246","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3246","url":null,"abstract":"The object of this paper is to study symmetric properties of Sasakian generalized Sasakian-space-form with respect to generalized Tanaka–Webster connection. We studied semisymmetry and Ricci semisymmetry of Sasakian generalized Sasakian-space-form with respect to generalized Tanaka–Webster connection. Further we obtain results for Ricci pseudosymmetric and Ricci-generalized pseudosymmetric Sasakian generalized Sasakian-space-form.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80524320","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 the Dimension of Non-Abelian Tensor Squares of $n$-Lie Algebras 关于n-李代数非阿贝尔张量平方的维数
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI: 10.5556/J.TKJM.52.2021.3373
F. Saeedi, Nafiseh Akbarossadat
{"title":"On the Dimension of Non-Abelian Tensor Squares of $n$-Lie Algebras","authors":"F. Saeedi, Nafiseh Akbarossadat","doi":"10.5556/J.TKJM.52.2021.3373","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3373","url":null,"abstract":"Let $L$ be an $n$-Lie algebra over a field $F$. In this paper, we introduce the notion of non-abelian tensor square $Lotimes L$ of $L$ and define the central ideal $Lsquare L$ of it. Using techniques from group theory and Lie algebras, we show that that $Lsquare Lcong L^{ab}square L^{ab}$. Also, we establish the short exact sequence[0lraM(L)lrafrac{Lotimes L}{Lsquare L}lra L^2lra0]and apply it to compute an upper bound for the dimension of non-abelian tensor square of $L$.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76725600","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: 3
Position Vectors of Curves Generalizing General Helices and Slant Helices in Euclidean 3-Space 欧几里德三维空间中推广一般螺旋和斜螺旋曲线的位置向量
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI: 10.5556/J.TKJM.52.2021.3463
M. Izid, Abderrazak El Haimi, A. O. Chahdi
{"title":"Position Vectors of Curves Generalizing General Helices and Slant Helices in Euclidean 3-Space","authors":"M. Izid, Abderrazak El Haimi, A. O. Chahdi","doi":"10.5556/J.TKJM.52.2021.3463","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3463","url":null,"abstract":"In this paper, we give a new characterization of a k-slant helix which is a generalization of general helix and slant helix. Thereafter, we construct a vector differential equation of the third order to determine the parametric representation of a k-slant helix according to standard frame in Euclidean 3-space. Finally, we apply this method to find the position vector of some examples of 2-slant helix by means of intrinsic equations.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90479891","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
Characterization of a New Family of Distribution Through Upper Record Values 用上记录值刻画一个新的分布族
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI: 10.5556/J.TKJM.52.2021.3253
M. I. Khan
{"title":"Characterization of a New Family of Distribution Through Upper Record Values","authors":"M. I. Khan","doi":"10.5556/J.TKJM.52.2021.3253","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3253","url":null,"abstract":"In this paper, a new class of distribution has been characterized through the condi- tional expectations, conditioned on a non-adjacent upper record value. Also an equivalence between the unconditional and conditional expectation is used to characterize the new class of distribution.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73758992","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
Line Graph Associated to Graph of a Near-Ring with Respect to an Ideal 关于理想的近环图的线形图
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI: 10.5556/J.TKJM.52.2021.3326
Moytri Sarmah
{"title":"Line Graph Associated to Graph of a Near-Ring with Respect to an Ideal","authors":"Moytri Sarmah","doi":"10.5556/J.TKJM.52.2021.3326","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3326","url":null,"abstract":"Let N be a near-ring and I be an ideal of N. The graph of N with respect to I is a graph with V (N ) as vertex set and any two distinct vertices x and y are adjacent if and only if xNy ⊆ I oryNx ⊆ I. This graph is denoted by GI(N). We define the line graph of GI(N) as a graph with each edge of GI (N ) as vertex and any two distinct vertices are adjacent if and only if their corresponding edges share a common vertex in the graph GI (N ). We denote this graph by L(GI (N )). We have discussed the diameter, girth, clique number, dominating set of L(GI(N)). We have also found conditions for the graph L(GI(N)) to be acycle graph.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81336128","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
An Iterative Method for a Common Solution of a Combination of the Split Equilibrium Problem, a Finite Family of Nonexpansive Mapping and a Combination of Variational Inequality Problem 分裂平衡问题、有限族非扩张映射和变分不等式组合问题的公共解的迭代方法
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI: 10.5556/J.TKJM.52.2021.3563
Ihssane Hay, A. Bnouhachem, T. Rassias
{"title":"An Iterative Method for a Common Solution of a Combination of the Split Equilibrium Problem, a Finite Family of Nonexpansive Mapping and a Combination of Variational Inequality Problem","authors":"Ihssane Hay, A. Bnouhachem, T. Rassias","doi":"10.5556/J.TKJM.52.2021.3563","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3563","url":null,"abstract":"The present paper aims to deal with an iterative algorithm for finding common solution of the combination of the split equilibrium problem and a finite family of non-expansive mappings and the combination of variational inequality problem in the setting of real Hilbert spaces. Further, we prove that the sequences generated by the proposed iterative method converge strongly to a common solution to these problems. A numerical example is presented to illustrate the proposed method and convergence result. The results and method presented in this paper generalize, extend and unify some known results in the literatures.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86434026","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
A Common Solution of Equilibrium, Constrained Convex Minimization, and Fixed Point Problems 平衡、约束凸最小化和不动点问题的一般解
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI: 10.5556/J.TKJM.52.2021.3521
M. Yazdi
{"title":"A Common Solution of Equilibrium, Constrained Convex Minimization, and Fixed Point Problems","authors":"M. Yazdi","doi":"10.5556/J.TKJM.52.2021.3521","DOIUrl":"https://doi.org/10.5556/J.TKJM.52.2021.3521","url":null,"abstract":"\u0000\u0000\u0000In this paper, we propose a new iterative scheme with the help of the gradient- projection algorithm (GPA) for finding a common solution of an equilibrium problem, a constrained convex minimization problem, and a fixed point problem. Then, we prove some strong convergence theorems which improve and extend some recent results. Moreover, we give a numerical result to show the validity of our main theorem. \u0000\u0000\u0000","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86575172","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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