Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr
<div><p><strong><em>Journal of Mathematics Research </em></strong>(ISSN: 1916-9795; E-ISSN 1916-9809) is an open-access, international, double-blind peer-reviewed journal published by the Canadian Center of Science and Education. This journal, published <strong>quarterly</strong> (March, July, September, and December) in <strong>both print and online versions</strong>, keeps readers up-to-date with the latest developments in all aspects of mathematics.</p><div class="Section1"><strong>The scopes of the journal </strong>include, but are not limited to, the following topics: statistics, approximation theory, numerical analysis, operations research, dynamical systems, mathematical physics, theory of computation, information theory, cryptography, graph theory, algebra, analysis, probability theory, geometry and topology, number theory, logic and foundations of mathematics. <em> </em></div><div class="Section1"><p>This journal accepts article submissions<strong> <a href="/journal/index.php/jmr/information/authors">online</a> or by <a href="mailto:jmr@ccsenet.org">e-mail</a> </strong>(jmr@ccsenet.org).</p></div><div class="Section1"><br /><br /><strong><strong><em><img src="/journal/public/site/images/jmr/jmr.jpg" alt="jmr" hspace="20" width="201" height="264" align="right" /></em></strong><strong>ABSTRACTING AND INDEXING:</strong></strong></div><div class="Section1"><strong><br /></strong></div><div class="Section1"><ul><li><strong>DOAJ</strong></li><li><strong>EBSCOhost</strong></li><li>Google Scholar</li><li>JournalTOCs</li><li>LOCKSS</li><li><strong>MathEDUC</strong></li><li><strong><a href="http://www.ams.org/dmr/JournalList.html">Mathematical Reviews</a>® (<a href="http://www.ams.org/mathscinet">MathSciNet</a>®)</strong></li><li>MathGuide</li><li>NewJour</li><li>OCLC Worldcat</li><li>Open J-Gate</li><li><strong>ProQuest</strong></li><li>SHERPA/RoMEO</li><li>Standard Periodical Directory</li><li>Ulrich's</li><li>Universe Digital Library</li><li><strong>Zentralblatt MATH</strong></li></ul></div><div class="Section1"><strong><br /></strong></div><div class="Section1"><strong><em> </em></strong></div></div>en-USSubmission of an article implies that the work described has not been published previously (except in the form of an abstract or as part of a published lecture or academic thesis), that it is not under consideration for publication elsewhere, that its publication is approved by all authors and tacitly or explicitly by the responsible authorities where the work was carried out, and that, if accepted, will not be published elsewhere in the same form, in English or in any other language, without the written consent of the Publisher. The Editors reserve the right to edit or otherwise alter all contributions, but authors will receive proofs for approval before publication. <br />Copyrights for articles published in CCSE journals are retained by the authors, with first publication rights granted to the journal. The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.<br />jmr@ccsenet.org (Sophia Wang)jmr@ccsenet.org (Technical Support)Thu, 09 Oct 2014 22:26:30 -0700OJS 2.3.8.0http://blogs.law.harvard.edu/tech/rss60Remarks on the Continuity of the Local Minimizer of Scalar Integral Functionals With Nonstandard General Growth Conditions
http://www.ccsenet.org/journal/index.php/jmr/article/view/41158
In this paper we show a regularity theorem for local minima of scalar integral functionals of the Calculus of Variations with nonstandard general growth conditions. Let us consider functionals in the following form<br />\begin{equation*}<br />\mathcal{F}\left[ u,\Omega \right] =\int\limits_{\Omega }f\left( x,u\left(x\right) ,\nabla u\left( x\right) \right),dx<br />\end{equation*}<br />where $f$: $\Omega \times\mathbb{R} \times\mathbb{R}^{N}\rightarrow\mathbb{R}$ is a Carath\'{e}odory function\ satisfying the inequalities<br />\begin{equation*}<br />\Phi \left( \left\vert z\right\vert \right) -c_{1}\leq f\left( x,s,z\right)\leq c_{2}\left[ 1+\left( \Phi ^{\ast }\left( \left\vert z\right\vert\right) \right) ^{\beta }+\left( \Phi ^{\ast }\left( \left\vert s\right\vert\right) \right) ^{\beta }\right]<br />\end{equation*}<br />for each $z\in\mathbb{R}^{N}$, $s\in\mathbb{R}$ and for $\mathcal{L}^{N}$-a. e. $x\in \Omega $, where $c_{1}$ and $c_{2}$ are two positive real constants, with $c_{1}<c_{2}$, $\Omega $ is an open subset of $\mathbb{R}^{N}$, $N\geq 2$, $\Phi \in \triangle _{2}^{m}\cap \nabla _{2}^{r}$ [Definition 6 and Definition 8], $1\leq r<m<N$ and the function $\Phi ^{\ast}$ is the Sobolev conjugate of $\Phi $ [Definition 12], $\beta $ is a positive real number that we will opportunely fix [Hypothesis $H_{1,f}$].Tiziano Granuccihttp://www.ccsenet.org/journal/index.php/jmr/article/view/41158Thu, 09 Oct 2014 00:00:00 -0700Cordiality of a Star of the Complete Graph and a Cycle Graph $C(N\cdot K_{N})$
http://www.ccsenet.org/journal/index.php/jmr/article/view/39732
In this paper we prove that a star of $K_{n}$ and a cycle of $n$ copies of $K_{n}$ are cordial. We also get condition for maximum value of $e_{f}(1)-e_{f}(0)$ and highest negative value of $e_{f}(1)-e_{f}(0)$ in $K_{n}$, where $f$ is the binary vertex labeling function on the vertex set of $K_{n}$.<br /><br />V. J. Kaneria, H. M. Makadia, Meera Meghparahttp://www.ccsenet.org/journal/index.php/jmr/article/view/39732Thu, 09 Oct 2014 22:22:37 -0700Fit States on Girard Algebras
http://www.ccsenet.org/journal/index.php/jmr/article/view/41159
Recently Weber proposed to define ``weakly additive" states on a Girard algebra by the additivity only on its sub-$MV$-algebras and characterized such states on the canonical Girard algebra extensions of any finite $MV$-chain. In the present paper, we take another viewpoint: the arguable sub-$MV$-algebras are replaced by suitable substructures coming from author, H\"{o}hle and Weber's own previous investigations. We propose a new notion of \emph{fit} states on a Girard algebra by the additivity on the mentioned substructures and consider such states on the ``non-effectible" Girard algebra ``$n$-extensions" (= canonical extensions when $n=1$) of $MV$-chains restricting ourselves to ones having less than six nontrivial elements. Our fit states appear as solutions of certain inconsistent systems of linear equations. They have extensive enough domains of the additivity-in any comparable case more extensive than Weber's states have.Remigijus Petras Gylyshttp://www.ccsenet.org/journal/index.php/jmr/article/view/41159Thu, 09 Oct 2014 00:00:00 -0700Backward Ornstein-Uhlenbeck Transition Operators and Mild Solutions of Non-Autonomous Hamilton-Jacobi Equations in Banach Spaces
http://www.ccsenet.org/journal/index.php/jmr/article/view/41409
In this paper we revisit the mild-solution approach to second-order semi-linear PDEs of Hamilton-Jacobi type in infinite-dimensional spaces. We show that a well-known result on existence of mild solutions in Hilbert spaces can be easily extended to non-autonomous Hamilton-Jacobi equations in Banach spaces. The main tool is the regularizing property of Ornstein-Uhlenbeck transition evolution operators for stochastic Cauchy problems in Banach spaces with time-dependent coefficients.Rafael Serranohttp://www.ccsenet.org/journal/index.php/jmr/article/view/41409Mon, 20 Oct 2014 00:00:00 -0700One-Parameter Equations of Spherical Conics and Its Applications
http://www.ccsenet.org/journal/index.php/jmr/article/view/38845
If we transform definitions of the conics in Euclidean plane on sphere, we obtain spherical conics. To calculate the E. Study Map of the spherical conics, we have to find one parameter equations of them. We had done this before in (Altunkaya, Yayl{\i}, Hac{\i}saliho\u{g}lu, \& Arslan, 2011). In this paper, we not only developed the results that we have found before, but also calculated the E. Study Map of the spherical conics when they are great circles by using the theorems in (Hac{\i}saliho\u{g}lu, 1977).Bülent Altunkaya, Yusuf Yayli, H. Hilmi Hacisalihoglu, Fahrettin Arslanhttp://www.ccsenet.org/journal/index.php/jmr/article/view/38845Mon, 20 Oct 2014 00:56:20 -0700Diversity soliton solutions for the (2+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation
http://www.ccsenet.org/journal/index.php/jmr/article/view/40312
Diversity soliton solutions, including breather-type kink two wave solutions, cross-kink two solitary solutions, breather-type kink three wave solutions, kink three soliton solutions, are obtained for the (2+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation by using Hirota's bilinear form and extended homoclinic test approach, respectively. Moreover, the properties for some new solutions are shown with some figures.Xichao Deng, Hanlin Chen, Zhenhui Xuhttp://www.ccsenet.org/journal/index.php/jmr/article/view/40312Tue, 28 Oct 2014 00:50:43 -0700Effect of Some Geometric Transfers on Homology Groups
http://www.ccsenet.org/journal/index.php/jmr/article/view/41725
<p>In this work, we introduce the results of some geometric transformation of the manifold on the homology group. Some types of folding and unfolding on a wedge sum of manifolds which are determined by their homology group are obtained. Also, the homology group of the limit of folding and unfolding on a wedge sum of 2- manifolds is deduced.</p>Samy M. Mostafa, Abdelaziz E. Radwan, Fayza Abelhalim Ibrahem, Fatema F.Kareemhttp://www.ccsenet.org/journal/index.php/jmr/article/view/41725Thu, 30 Oct 2014 00:00:00 -0700The Normality Domain of a Family of Holomorphic Functions on a Stein Space (II)
http://www.ccsenet.org/journal/index.php/jmr/article/view/41939
Let $X$ be a Stein space. We prove that for any family $\mathcal{F} \subset \mathcal{O}(X)$ every normality domain of it<br />in a weak sence is a meromorphically $\mathcal{O}(X)$ - convex domain of $X$.Yukinobu Adachihttp://www.ccsenet.org/journal/index.php/jmr/article/view/41939Wed, 05 Nov 2014 00:00:00 -0800New Exact Solutions for a Class of High-order Dispersive Cubic-quintic Nonlinear Schrodinger Equation
http://www.ccsenet.org/journal/index.php/jmr/article/view/40691
In the paper, the exact solutions to the cubic-quintic nonlinear Schrodinger equation with third and fourth-order dispersion terms is considered. The improved homogeneous balance method is used for constructing a series of new exact envelop wave solutions, including envelop solitary wave solutions, envelop periodic wave solutions and an envelop rational solution.Ying Huang, Peng Liuhttp://www.ccsenet.org/journal/index.php/jmr/article/view/40691Wed, 05 Nov 2014 18:49:05 -0800Optimal Control Theory to Solve Production Inventory System in Supply Chain Management
http://www.ccsenet.org/journal/index.php/jmr/article/view/37386
This paper describes how to control the inventory production system with Weibull distributed deterioration items. The model is solved by two methods and a comparison between them is conducted. In the first method the model is solved using the control theory approach. In the second method the model is discretized then the Dynamic Programming (DP) technique is applied. The advantage of second method is easier than the first method in computational and its accuracy can be improved by increasing the number of discretization intervals (sampling).Hegazy Zaher, Taher Taha Zakihttp://www.ccsenet.org/journal/index.php/jmr/article/view/37386Thu, 06 Nov 2014 01:18:21 -0800On Cartesian Products of Cyclic Orthogonal Double Covers of Circulants
http://www.ccsenet.org/journal/index.php/jmr/article/view/42047
A collection G of isomorphic copies of a given subgraph G of T is said to be orthogonal double cover (ODC) of<br />a graph T by G, if every edge of T belongs to exactly two members of G and any two different elements from<br />G share at most one edge. An ODC G of T is cyclic (CODC) if the cyclic group of order jV(T)j is a subgroup of the<br />automorphism group of G. In this paper, the CODCs of infinite regular circulant graphs by certain infinite graph<br />classes are considered, where the circulant graphs are labelled by the Cartesian product of two abelian groups.Ramadan El-Shanawany, Ahmed El-Mesadyhttp://www.ccsenet.org/journal/index.php/jmr/article/view/42047Mon, 10 Nov 2014 00:00:00 -0800A Comparison of the Optimal Classification Rule and Maximum Likelihood Rule for Binary Variables
http://www.ccsenet.org/journal/index.php/jmr/article/view/42115
<p>Optimal classification rule and maximum likelihood rules have the largest possible posterior probability of correct allocation with respect to the prior. They have a ‘nice’ optimal property and appropriate for the development of linear classification models. In this paper we consider the problem of choosing between the two methods and set some guidelines for proper choice. The comparison between the methods is based on several measures of predictive accuracy. The performance of the methods is studied by simulations.</p>I. Egbo, S. I. Onyeagu, D. D. Ekezie, Uzoma Peter O.http://www.ccsenet.org/journal/index.php/jmr/article/view/42115Wed, 12 Nov 2014 00:00:00 -0800Exponential Atomic Decomposition in Generalized Weighted Lebesgue Spaces
http://www.ccsenet.org/journal/index.php/jmr/article/view/42356
<p>This paper treats the exponential linear phase system which consists of eigenfunctions of the discontinuous differential operator. Frame properties of this system are studied in weighted Lebesgue spaces with the variable order of summability.</p>Nasibova N.P.http://www.ccsenet.org/journal/index.php/jmr/article/view/42356Wed, 19 Nov 2014 00:00:00 -0800A Necessary and Sufficient Condition for Pseudo-symmetric Positive Solutions of Boundary Value Problems
http://www.ccsenet.org/journal/index.php/jmr/article/view/41474
We apply the monotone iterative technique to the second-order boundary value problems. We obtain a necessary and sufficient condition and discuss the uniqueness, a iterative sequence and an error estimation for pseudo-symmetric positive solutions. Moreover, an example is given to illustrate the applicability of our results.Yan Luohttp://www.ccsenet.org/journal/index.php/jmr/article/view/41474Thu, 20 Nov 2014 23:23:27 -0800Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 6, No. 4
http://www.ccsenet.org/journal/index.php/jmr/article/view/42680
<div class="WordSection1"><p><strong>Reviewer Acknowledgements</strong></p> <p><em>Journal of Mathematics Research</em> wishes to acknowledge the following individuals for their assistance with peer review of manuscripts for this issue. Their help and contributions in maintaining the quality of the journal is greatly appreciated.</p> <p>Many authors, regardless of whether <em>Journal of Mathematics Research</em> publishes their work, appreciate the helpful feedback provided by the reviewers.</p> <p><strong>Reviewers for Volume 6, Number 4</strong></p></div> <strong><br /> </strong> <div class="WordSection2"><p>A. Maheswari</p> <p>Alberto Simoes</p> <p>Aleksandr Kolpakov</p> <p>Antonio Boccuto</p> <p>Arman Aghili</p> <p>Carla A. Pinto</p> <p>Enrico Jabara</p> <p>Eric José Avila</p> <p>Gabriela Ciuperca</p> <p>Guezane-Lakoud Assia</p> <p>Guy Biyogmam</p> <p>Jingbo Xia</p> <p>Kuldeep Narain Mathur</p> <p>Maria Alessandra Ragusa</p> <p>Marina Andrade</p> <p>Medha Itagi Huilgol</p> <p>Mennouni Abdelaziz</p> <p>Michael Doschoris</p> <p>Michael Wohlgenannt</p> <p>Omur DEVECI</p> <p>Predrag Stanimirovic</p> <p>Qasem Al-Mdallal</p> <p>Rovshan Bandaliyev</p> <p>Saima Anis</p> <p>Sanjib Kumar Datta</p> <p>Sergiy Koshkin</p> <p>Shuhong Chen</p> <p>Yilun Shang</p> <p>Youssef El-Khatib</p> <p>Zoubir DAHMANI</p></div> <br /> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p>Sophia Wang</p> <p>On behalf of,</p> <p>The Editorial Board of <em>Journal of Mathematics Research</em></p> <p>Canadian Center of Science and Education</p>Sophia Wanghttp://www.ccsenet.org/journal/index.php/jmr/article/view/42680Thu, 27 Nov 2014 00:00:00 -0800