University of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72601120120201An application of Fibonacci numbers into infinite Toeplitz matrices1ENE.E.KARADepartment of Mathematics, Bilecik University,11210, Bilecik, TurkeyM.BASARIRDepartment of Mathematics, Sakarya University, 54187, Sakarya, TurkeyJournal Article20120218The 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<infty .http://cjms.journals.umz.ac.ir/article_1_f744f03689589110aa8327b974f00e4a.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72601120120201Cone normed spaces2ENM.ESHAGHI GORDJIDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranM.RAMEZANIDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranHamidKHODAEIDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranH.BAGHANIDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranJournal Article20111001<p>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.</p>http://cjms.journals.umz.ac.ir/article_2_9d4bc689eafc39ad8c16bef549e1789b.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72601120120201Existence of positive solutions for fourth-order boundary value
problems with three- point boundary conditions3ENN.NYAMORADIDepartment of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah,
Iran.Journal Article20111126<p>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 $beta > 0, 0< eta 0$.</p>http://cjms.journals.umz.ac.ir/article_3_459da43ddb149ea17d0587b414c834f5.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-726011201202010n removable cycles in graphs and digraphs4ENA.B.ATTARDepartment of Mathematics University of thi-qar collage of education for pure sciencesJournal Article20111124In 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.http://cjms.journals.umz.ac.ir/article_4_751c5e8b91a574d308d24a32c0377adc.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72601120120201Differential transformation method for solving a neutral functional-differential equation
with proportional delays5ENA.GOKDOGANM.MERDANA.YILDIRIMJournal Article20111228<p>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.</p>http://cjms.journals.umz.ac.ir/article_5_560f72464b2ef8adfe141ec1ad36b55d.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72601120120201Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave
equations6ENH.TRIKIRadiation Physics Laboratory, Dep. of Physics, Badji Mokhtar University, ALGERIAA.BISWASDepartment of Mathematical Sciences, Delaware State University, Dover, USAJournal Article20111115<p>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.</p>http://cjms.journals.umz.ac.ir/article_6_96eddfb1f219527489aaf75be241e594.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)2676-72601120120201A unique continuous solution for the Bagley-Torvik equation7ENK.SAYEVANDFaculty of Basic Sciences, Department of Mathematics, University of Malayer, Malayer,
IranF.MIRZAEEFaculty of Basic Sciences, Department of Mathematics, University of Malayer, Malayer,
IranJournal Article20111119<p>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.</p>http://cjms.journals.umz.ac.ir/article_7_25f25bced725a0360ba57b13d768546e.pdf