University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 1 1 2012 02 18 An application of Fibonacci numbers into infinite Toeplitz matrices EN E.E. KARA Department of Mathematics, Bilecik University,11210, Bilecik, Turkey emrah.kara@bilecik.edu.tr M. BASARIR Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey basarir@sakarya.edu.tr The main purpose of this paper is to define a new regular matrix by using Fibonacci numbers and to investigate its matrix domain in the classical sequence spaces \$ell _{p},ell _{infty },c\$ and \$c_{0}\$, where \$1leq p Regular matrix transformations,Sequence spaces http://cjms.journals.umz.ac.ir/article_1.html http://cjms.journals.umz.ac.ir/article_1_f744f03689589110aa8327b974f00e4a.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 1 1 2012 02 21 Cone normed spaces EN M. ESHAGHI GORDJI Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran madjid.eshaghi@gmail.com M. RAMEZANI Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran Hamid KHODAEI Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran khodaei.hamid.math@gmail.com H. BAGHANI Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran h.baghani@gmail.com. In this paper, we introduce the cone normed spaces and cone bounded linear mappings. Among other things, we prove the Baire category theorem and the Banach--Steinhaus theorem in cone normed spaces. One metric space,Baire category theorem,Banach Steinhaus theorem http://cjms.journals.umz.ac.ir/article_2.html http://cjms.journals.umz.ac.ir/article_2_9d4bc689eafc39ad8c16bef549e1789b.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 1 1 2012 02 21 Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions EN N. NYAMORADI Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran. nyamoradi@razi.ac.ir. In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime prime }(0)=0, hspace{1cm} u^{prime prime }(1)- alpha u^{prime prime }(eta)=0, & end{array} right. end{eqnarray*} where \$beta > 0, 0< eta 0\$. Positive solution,Fourth-order boundary value problem,Three-point boundary conditions,fixed point theorem http://cjms.journals.umz.ac.ir/article_3.html http://cjms.journals.umz.ac.ir/article_3_459da43ddb149ea17d0587b414c834f5.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 1 1 2012 02 21 0n removable cycles in graphs and digraphs EN A.B. ATTAR Department of Mathematics University of thi-qar collage of education for pure sciences akramattar70@yahoo.com In this paper we define the removable cycle that, if \$Im\$ is a class of graphs, \$Gin Im\$, the cycle \$C\$ in \$G\$ is called removable if \$G-E(C)in Im\$. The removable cycles in Eulerian graphs have been studied. We characterize Eulerian graphs which contain two edge-disjoint removable cycles, and the necessary and sufficient conditions for Eulerian graph to have removable cycles have been introduced. Further, the even and odd removable cycles in Eulerian graphs have also been studied. The necessary and sufficient conditions for regular graphs (digraphs) to have a removable cycles have been characterized. We also define, the removable cycle class. Removable cycle,Connected graph,Eulerian graph http://cjms.journals.umz.ac.ir/article_4.html http://cjms.journals.umz.ac.ir/article_4_751c5e8b91a574d308d24a32c0377adc.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 1 1 2012 02 21 Differential transformation method for solving a neutral functional-differential equation with proportional delays EN A. GOKDOGAN M. MERDAN A. YILDIRIM In this article differential transformation method (DTMs) has been used to solve neutral functional-differential equations with proportional delays. The method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. Exact solutions can also be obtained from the known forms of the series solutions. The results show that the method is effective, suitable, easy, practical and accurate. Differential fransformation method,Neutral functional - Differential equations with proportional delay http://cjms.journals.umz.ac.ir/article_5.html http://cjms.journals.umz.ac.ir/article_5_560f72464b2ef8adfe141ec1ad36b55d.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 1 1 2012 02 21 Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations EN H. TRIKI Radiation Physics Laboratory, Dep. of Physics, Badji Mokhtar University, ALGERIA A. BISWAS Department of Mathematical Sciences, Delaware State University, Dover, USA biswas.anjan@gmail.com. In this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. The traveling wave hypothesis yields complexiton solutions. Subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. The constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton solution. http://cjms.journals.umz.ac.ir/article_6.html http://cjms.journals.umz.ac.ir/article_6_96eddfb1f219527489aaf75be241e594.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 1 1 2012 02 21 A unique continuous solution for the Bagley-Torvik equation EN K. SAYEVAND Faculty of Basic Sciences, Department of Mathematics, University of Malayer, Malayer, Iran ksayehvand@malayeru.ac.ir. F. MIRZAEE Faculty of Basic Sciences, Department of Mathematics, University of Malayer, Malayer, Iran In this paper the Bagley-Torvik equation as a prototype fractional differential equation with two derivatives is investigated by means of homotopy perturbation method. The results reveal that the present method is very effective and accurate. One metric space,Baire category theorem,Banach Steinhaus theorem http://cjms.journals.umz.ac.ir/article_7.html http://cjms.journals.umz.ac.ir/article_7_25f25bced725a0360ba57b13d768546e.pdf