2012
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An application of Fibonacci numbers into infinite Toeplitz matrices
2
2
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
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امراه
کارا
E.E.
KARA
Department of Mathematics, Bilecik University,11210, Bilecik, Turkey
Department of Mathematics, Bilecik University,1121
Iran
emrah.kara@bilecik.edu.tr
م
بسریر
M.
BASARIR
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
Department of Mathematics, Sakarya University,
Iran
basarir@sakarya.edu.tr
Regular matrix transformations
Sequence spaces
Cone normed spaces
2
2
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 BanachSteinhaus theorem in cone normed spaces.
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مجید
اسحاقی گرجی
M.
ESHAGHI GORDJI
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran
Department of Mathematics, Semnan University,
Iran
madjid.eshaghi@gmail.com
م
رمضانی
M.
RAMEZANI
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran
Department of Mathematics, Semnan University,
Iran
حمید
خدایی
Hamid
KHODAEI
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran
Department of Mathematics, Semnan University,
Iran
khodaei.hamid.math@gmail.com
ح
باغانی
H.
BAGHANI
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran
Department of Mathematics, Semnan University,
Iran
h.baghani@gmail.com.
One metric space
Baire category theorem
Banach Steinhaus theorem
Existence of positive solutions for fourthorder boundary value
problems with three point boundary conditions
2
2
In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a threepoint boundary value problem for the following fourthorder 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 $beta > 0, 0< eta 0$.
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ن
نیامرادی
N.
NYAMORADI
Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah,
Iran.
Department of Mathematics, Faculty of Sciences,
Iran
nyamoradi@razi.ac.ir.
Positive solution
Fourthorder boundary value problem
Threepoint boundary conditions
Fixed point theorem
0n removable cycles in graphs and digraphs
2
2
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 $GE(C)in Im$. The removable cycles in Eulerian
graphs have been studied. We characterize Eulerian graphs which
contain two edgedisjoint 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.
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اکرم
اتار
A.B.
ATTAR
Department of Mathematics University of thiqar collage of education for pure sciences
Department of Mathematics University of thiqar
Iran
akramattar70@yahoo.com
Removable cycle
Connected graph
Eulerian graph
Differential transformation method for solving a neutral functionaldifferential equation
with proportional delays
2
2
In this article differential transformation method (DTMs) has been used to solve neutral functionaldifferential 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.
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A.
GOKDOGAN
Iran


M.
MERDAN
Iran


A.
YILDIRIM
Iran
Differential fransformation method
Neutral functional  Differential equations with proportional delay
Complexition and solitary wave solutions of the (2+1)dimensional dispersive long wave
equations
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2
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.
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ح
تریکی
H.
TRIKI
Radiation Physics Laboratory, Dep. of Physics, Badji Mokhtar University, ALGERIA
Radiation Physics Laboratory, Dep. of Physics,
Iran
انجان
بیسواس
A.
BISWAS
Department of Mathematical Sciences, Delaware State University, Dover, USA
Department of Mathematical Sciences, Delaware
Iran
biswas.anjan@gmail.com.
A unique continuous solution for the BagleyTorvik equation
2
2
In this paper the BagleyTorvik 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.
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ک
سایوند
K.
SAYEVAND
Faculty of Basic Sciences, Department of Mathematics, University of Malayer, Malayer,
Iran
Faculty of Basic Sciences, Department of
Iran
ksayehvand@malayeru.ac.ir.
ف
میرزایی
F.
MIRZAEE
Faculty of Basic Sciences, Department of Mathematics, University of Malayer, Malayer,
Iran
Faculty of Basic Sciences, Department of
Iran
One metric space
Baire category theorem
Banach Steinhaus theorem