eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-02-18
1
1
1
An application of Fibonacci numbers into infinite Toeplitz matrices
E.E. KARA
emrah.kara@bilecik.edu.tr
1
M. BASARIR
basarir@sakarya.edu.tr
2
Department of Mathematics, Bilecik University,11210, Bilecik, Turkey
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
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
http://cjms.journals.umz.ac.ir/article_1_f744f03689589110aa8327b974f00e4a.pdf
Regular matrix transformations
Sequence spaces
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-02-21
1
1
2
Cone normed spaces
M. ESHAGHI GORDJI
madjid.eshaghi@gmail.com
1
M. RAMEZANI
2
Hamid KHODAEI
khodaei.hamid.math@gmail.com
3
H. BAGHANI
h.baghani@gmail.com.
4
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
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.
http://cjms.journals.umz.ac.ir/article_2_9d4bc689eafc39ad8c16bef549e1789b.pdf
One metric space
Baire category theorem
Banach Steinhaus theorem
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-02-21
1
1
3
Existence of positive solutions for fourth-order boundary value
problems with three- point boundary conditions
N. NYAMORADI
nyamoradi@razi.ac.ir.
1
Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah,
Iran.
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 $beta > 0, 0< eta 0$.
http://cjms.journals.umz.ac.ir/article_3_459da43ddb149ea17d0587b414c834f5.pdf
Positive solution
Fourth-order boundary
value problem
Three-point boundary conditions
Fixed point theorem
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-02-21
1
1
4
0n removable cycles in graphs and digraphs
A.B. ATTAR
akramattar70@yahoo.com
1
Department of Mathematics University of thi-qar collage of education for pure sciences
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.
http://cjms.journals.umz.ac.ir/article_4_751c5e8b91a574d308d24a32c0377adc.pdf
Removable cycle
Connected graph
Eulerian
graph
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-02-21
1
1
5
Differential transformation method for solving a neutral functional-differential equation
with proportional delays
A. GOKDOGAN
1
M. MERDAN
2
A. YILDIRIM
3
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.
http://cjms.journals.umz.ac.ir/article_5_560f72464b2ef8adfe141ec1ad36b55d.pdf
Differential fransformation method
Neutral functional -
Differential equations with proportional delay
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-02-21
1
1
6
Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave
equations
H. TRIKI
1
A. BISWAS
biswas.anjan@gmail.com.
2
Radiation Physics Laboratory, Dep. of Physics, Badji Mokhtar University, ALGERIA
Department of Mathematical Sciences, Delaware State University, Dover, USA
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_96eddfb1f219527489aaf75be241e594.pdf
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-02-21
1
1
7
A unique continuous solution for the Bagley-Torvik equation
K. SAYEVAND
ksayehvand@malayeru.ac.ir.
1
F. MIRZAEE
2
Faculty of Basic Sciences, Department of Mathematics, University of Malayer, Malayer,
Iran
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.
http://cjms.journals.umz.ac.ir/article_7_25f25bced725a0360ba57b13d768546e.pdf
One metric space
Baire category theorem
Banach
Steinhaus theorem