http://ccsenet.org/journal/index.php/jmr/issue/feedJournal of Mathematics Research2014-10-29T17:56:11-07:00Sophia Wangjmr@ccsenet.orgOpen Journal SystemsSubmission 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and tacitly or explicitly by the responsible authorities where the work was carried out, and that, if accepted, will not be published elsewhere in the same form, in English or in any other language, without the written consent of the Publisher.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 /><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>Bibliography and Index of Geology</li><li><strong>DOAJ</strong></li><li><strong>EBSCOhost</strong></li><li>Google Scholar</li><li>JournalTOCs</li><li>LOCKSS</li><li>NewJour</li><li>Open J-Gate</li><li>PKP Open Archives Harvester</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>WorldCat</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>http://ccsenet.org/journal/index.php/jmr/article/view/41158Remarks on the Continuity of the Local Minimizer of Scalar Integral Functionals With Nonstandard General Growth Conditions2014-10-28T00:51:23-07:00Tiziano Granuccitizianogranucci@libero.itIn 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 $H_{1,f}$].2014-10-09T00:00:00-07:00http://ccsenet.org/journal/index.php/jmr/article/view/39732Cordiality of a Star of the Complete Graph and a Cycle Graph $C(N\cdot K_{N})$2014-10-28T00:51:25-07:00V. J. Kaneriamakadia.hardik@yahoo.comH. M. Makadiamakadia.hardik@yahoo.comMeera Meghparamakadia.hardik@yahoo.comIn 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 />2014-10-09T22:22:37-07:00http://ccsenet.org/journal/index.php/jmr/article/view/41159Fit States on Girard Algebras2014-10-28T00:51:25-07:00Remigijus Petras Gylysgyliene@ktl.mii.ltRecently 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.2014-10-09T00:00:00-07:00http://ccsenet.org/journal/index.php/jmr/article/view/41409Backward Ornstein-Uhlenbeck Transition Operators and Mild Solutions of Non-Autonomous Hamilton-Jacobi Equations in Banach Spaces2014-10-28T00:51:25-07:00Rafael Serranorafael.serrano@urosario.edu.coIn 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.2014-10-20T00:00:00-07:00http://ccsenet.org/journal/index.php/jmr/article/view/38845One-Parameter Equations of Spherical Conics and Its Applications2014-10-28T00:51:25-07:00Bülent Altunkayabulent.altunkaya@ahievran.edu.trYusuf Yaylibulent.altunkaya@ahievran.edu.trH. Hilmi Hacisalihoglubulent.altunkaya@ahievran.edu.trFahrettin Arslanbulent.altunkaya@ahievran.edu.trIf 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).2014-10-20T00:56:20-07:00http://ccsenet.org/journal/index.php/jmr/article/view/40312Diversity soliton solutions for the (2+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation2014-10-28T00:51:25-07:00Xichao Dengdengxichao@swust.edu.cnHanlin Chenchenhanlin@swust.edu.cnZhenhui Xuxuzhenhui19@163.comDiversity 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.2014-10-28T00:50:43-07:00http://ccsenet.org/journal/index.php/jmr/article/view/41725Effect of Some Geometric Transfers on Homology Groups2014-10-29T17:56:11-07:00Samy M. Mostafafa_sa20072000@yahoo.comAbdelaziz E. Radwanfa_sa20072000@yahoo.comFayza Abelhalim Ibrahemfa_sa20072000@yahoo.comFatema F.Kareemfa_sa20072000@yahoo.com<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>2014-10-30T00:00:00-07:00