http://journals.math.tku.edu.tw/index.php/TKJM/issue/feedTamkang Journal of Mathematics2018-05-14T08:55:44+08:00Editorial Officeeo-tkjm@mail2.tku.edu.twOpen Journal Systems<strong>Welcome to Tamkang Journal of Mathematics </strong><br /><br /><strong>~Hot News~ </strong><br /><br /><strong>Tamkang Journal of Mathematics(TKJM) is included in Emerging Sources Citation Index (ESCI)</strong> <br /><br /><img src="/public/site/images/admin/201709_ESCI收錄TKJM畫面.jpg" alt="" width="450" height="247" /><br /><br /><br /><strong>Aims and Scope</strong><br /><div>To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal.</div>http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2198Some results on uniqueness of entire functions concerning difference polynominals2018-05-07T08:02:48+08:00Pulak Sahoosahoopulak1@gmail.comGurudas Biswasgdb.math@gmail.comIn the paper we use the notion of weakly weighted sharing and relaxed weighted sharing to investigate the uniqueness problems when two difference products of entire functions share a small function. The results of the paper improve and extend some recent results due to the present first author [Commu. Math. Stat., 3 (2015), 227-238].2018-06-30T00:00:00+08:00http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2228Local triple derivations from C$^*$-algebras into their iterated duals2018-05-07T08:02:49+08:00Mohsen Niaziniazi@birjand.ac.irMohammad Reza Mirimrmiri@birjand.ac.irWe show that every local triple derivation from a C$^*$-algebra into any of its iterated duals is a triple derivation. This result partially solves a problem posed by M. Burgos \emph{et al.} in [Bull. London Math. Soc. 46 (4), 709-724 (2014)].2018-06-30T00:00:00+08:00http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2365The restrained rainbow bondage number of a graph2018-05-07T08:02:49+08:00Jafar Amjadij-amjadi@azaruniv.eduRana Khoeilarkhoeilar@azaruniv.eduN. Dehgardindehgardi@gmail.comLutz Volkmannvolkm@math2.rwth-aachen.deS.M. Sheikholeslamis.m.sheikholeslami@azaruniv.eduA restrained $k$-rainbow dominating function (R$k$RDF) of a graph $G$ is a function $f$ from the vertex set $V(G)$ to the set of all subsets of the set $\{1,2,\ldots,k\}$ such that for any vertex $v \in V (G)$ with $f(v) = \emptyset$ the conditions $\bigcup_{u \in N(v)} f(u)=\{1,2,\ldots,k\}$ and $|N(v)\cap \{u\in V\mid f(u)=\emptyset\}|\ge 1$ are fulfilled, where $N(v)$ is the open neighborhood of $v$. The weight of a restrained $k$-rainbow dominating function is the value $w(f)=\sum_{v\in V}|f (v)|$. The minimum weight of a restrained $k$-rainbow dominating function of $G$ is called the restrained $k$-rainbow domination number of $G$, denoted by $\gamma_{rrk}(G)$. The restrained $k$-rainbow bondage number $b_{rrk}(G)$ of a graph $G$ with maximum degree at least two is the minimum cardinality of all sets $F \subseteq E(G)$ for which $\gamma_{rrk}(G-F) > \gamma_{rrk}(G)$. In this paper, we initiate the study of the restrained $k$-rainbow bondage number in graphs and we present some sharp bounds for $b_{rr2}(G)$. In addition, we determine the restrained 2-rainbow bondage number of some classes of graphs.2018-06-30T00:00:00+08:00http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2466Nevanlinna's five-value theorem for derivatives of algebroid functions on annuli2018-05-14T08:55:44+08:00Ashok M Rathodashokmrmaths@gmail.comIn this paper, we first obtain the famous Xiong Inequality for algebroid functions on annuli and also generalise Nevanlinna's five-value theorem for derivatives of algebroid functions by considering weaker assumptions of sharing five values and small functions to partially sharing $k(\geq 5)$ values and small functions on annuli. As a particular cases of our results, we deduce several results.2018-06-30T00:00:00+08:00http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2553On reproducing property and 2-cocycles2018-05-07T08:02:49+08:00Saeed Hashemi Sababehashemi_1365@yahoo.comAli EbadianEbadian.alii@gmail.comShahram NajafzadehNajafzadeh12345@yahoo.ieIn this paper, we study reproducing kernels whose ranges are subsets of a $C^*$-algebra or a Hilbert $C^*$-module. In particular, we show how such a reproducing kernel can naturally be expressed in terms of operators on a Hilbert $C^*$-module. We focus on relative reproducing kernels and extend this concept to such spaces associated with cocycles.2018-06-30T00:00:00+08:00http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2586Global analysis of stochastic SIR model with variable diffusion rates2018-05-07T08:02:50+08:00Pitchaimani M.mpitchaimani@yahoo.comRajasekar S.P.mpitchaimani@yahoo.comIn this article, a stochastic SIR epidemic model with treatment rate in a population of varying size is proposed and investigated. For the stochastic version, we briefly discuss the existence of global unique solutions and using the Lyapunov function, the disease free equilibrium solution is globally asymptotic stabe if $\mathcal{R}_0\leq1$ and the endemic equilibrium solution is obtained when $\mathcal{R}_0>1$. The main attention is paid to the $p$th-moment exponentially stable on the system, proved under suitable assumptions on the white noise perturbations and the optimal control for the deterministic model. Finally numerical simulations are done to show our theoretical results and to demonstrate the complicated dynamics of the model.2018-06-30T00:00:00+08:00