2011
35
4
4
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Tangent Bishop spherical images of a biharmonic Bslant helix in the Heisenberg group Heis3
2
2
In this paper, biharmonic slant helices are studied according to Bishop frame in the Heisenberg group Heis3. We give necessary and sufficient conditions for slant helices to be biharmonic. The biharmonic slant helices arecharacterized in terms of Bishop frame in the Heisenberg group Heis3. We give some characterizations for tangent Bishop spherical images of Bslant helix. Additionally, we illustrate four figures of our main theorem.
1

265
271


T.
Korpinar
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
Department of Mathematics, Firat University,
Turkey


E.
Turhan
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
Department of Mathematics, Firat University,
Turkey
essin.turhan@gmail.com


V.
Asil
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
Department of Mathematics, Firat University,
Turkey
biharmonic curve
Bishop frame
Heisenberg group
tangent Bishop spherical images
Some applications of the product of submodules in multiplication modules
2
2
Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication Rmodule M. ThenN=IM and K=JM for some ideals I and J of R. The product of N and K denoted by NK is defined by NK=IJM. Inthis paper we characterize some particular cases of multiplication modules by using the product of submodules.
1

273
277


A.
Azizi
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
Department of Mathematics, College of Sciences,
Iran
aazizi@shirazu.ac.ir


C.
Jayaram
University of the West Indies, Department of Mathematics, Bridgetown, Barbados
University of the West Indies, Department
Barbados
Multiplication ideal
multiplication module
prime submodule
principal ideal multiplication module
product of submodules
Quasi cyclic submodule
On compact operators on the Riesz Bmdifference sequence space
2
2
In this paper, we give the characterization of some classes of compact operators given by matrices on the normed sequence space , which is a special case of the paranormed Riesz difference sequence space , . For this purpose, we apply the Hausdorff measure of noncompactness and use some results.
1

279
285


M.
Basarir
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
Department of Mathematics, Sakarya University,
Turkey
basarir@sakarya.edu.tr


E. E.
Kara
Department of Mathematics, Bilecik University, 11210, Bilecik, Turkey
Department of Mathematics, Bilecik University,
Turkey
difference sequence spaces
Hausdorff measure of noncompactness
compact operators
Wavelet solutions of the second Painleve equation
2
2
Dynamically adaptive numerical methods have been developed to find solutions for differential equations. Thesubject of wavelet has attracted the interest of many researchers, especially, in finding efficient solutions fordifferential equations. Wavelets have the ability to show functions at different levels of resolution. In this paper, a numerical method is proposed for solving the second Painleve equation based on the Legendre wavelet. The solutions of this method are compared with the analytic continuation and Adomian Decomposition methods and the ability of the Legendre wavelet method is demonstrated.
1

287
291


E.
Hesameddini
Department of Mathematics, Faculty of Basic Sciences, Shiraz University of
Technology, Modarres Blvd. P.O. Box, 71555313, Shiraz, Iran
Department of Mathematics, Faculty of Basic
Iran
hesameddini@sutech.ac.ir


S.
Shekarpaz
Department of Mathematics, Faculty of Basic Sciences, Shiraz University of
Technology, Modarres Blvd. P.O. Box, 71555313, Shiraz, Iran
Department of Mathematics, Faculty of Basic
Iran
Multiresolution analysis
Wavelet
Painleve equations
legendre wavelet
Adomian Decomposition Method
Computing of eigenvalues of sturmliouville problems with eigenparameter dependent boundary conditions
2
2
The purpose of this article is to use the classical sampling theorem, WKS sampling theorem, to deriveapproximate values of the eigenvalues of the SturmLiouville problems with eigenparameter in the boundaryconditions. Error analysis is used to give estimates of the associated error. Higher order approximations are also drived, which lead to more complicated computations. We give some examples and make companions withexisting results.
1

293
299


S. M.
AlHarbi
Mathematics Department, University College, Umm AlQura University, Makkah, Saudi Arabia
Mathematics Department, University College,
Saudi Arabia
salharbi434@yahoo.com
Eigenvalue problem with eigenparameter in the boundary conditions
sinc methods
computing eigenvalues
Direct and fixed point methods approach to the generalized Hyers–Ulam stability for a functional equation having monomials as solutions
2
2
The main goal of this paper is the study of the generalized HyersUlam stability of the following functionalequation f (2x y) f (2x y) (n 1)(n 2)(n 3) f ( y) 2n2 f (x y) f (x y) 6 f (x) where n 1,2,3,4 , in non–Archimedean spaces, by using direct and fixed point methods.
1

301
307


H.
Azadi Kenary
Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran
Department of Mathematics, College of Sciences,
Iran
azadi@mail.yu.ac.ir


C.
Park
Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South Korea
Department of Mathematics, Research Institute
Korea
Hyers Ulam stability
non Archimedean normed space
p  adic field
Multiplication lattice modules
2
2
Let M be a lattice module over the multiplicative lattice . An module M is called a multiplication latticemodule if for every element N there exists an element such that 1. Our objective is toinvestigate properties of prime elements of multiplication lattice modules.
1

309
313


F.
Callialp
Department of Mathematics, Dogus University, Acıbadem, Istanbul, Turkey
Department of Mathematics, Dogus University,
Turkey


U.
Tekir
Department of Mathematics, Marmara University, ZiverbeyGoztepe, Istanbul, Turkey
Department of Mathematics, Marmara University,
Turkey
utekir@marmara.edu.tr
Multiplicative lattice
lattice modules
maximal element
prime element
A Square representation technique for locating frequencies that have maximum autocorrelations
2
2
From the early 1950s, estimating the autocorrelations of polynomials with coefficients on the unit circle has found applications in Ising spin systems and in surface acoustic wave designs. In this paper, a technique is introduced that not only estimates the autocorrelations, but for some special types of such polynomials, it locates the frequencies at which maximum autocorrelation occurs.
1

315
321


M.
Taghavi
Department of Mathematics, School of Sienses, Shiraz University, Shiraz, Iran
Department of Mathematics, School of Sienses,
Iran
taghavi@math.susc.ac.ir
Square representation
stable cycles
Golay pair of polynomials
A class of fourth order differential operators with transmission conditions
2
2
We investigate a class of fourthorder differential operators with eigenparameter dependent boundary conditions and transmission conditions. A selfadjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A . We discuss asymptotic behavior of its eigenvalues and completeness of its eigenfunctions. Finally, we obtain the representation of its Green function.
1

323
332


Q. X
Yang
1Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China
2Department of Computer Science and Technology, Dezhou University, Dezhou 253023, P. R. China
1Mathematics Science College, Inner Mongolia
China
yqiuxia@yahoo.com


W. Y.
Wang
Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China
Mathematics Science College, Inner Mongolia
China
Differential operator
eigenvalues
eigenfunctions
Green function
completeness
On the global asymptotic stability for a rational recursive sequence
2
2
The main objective of this paper is to study the boundedness character, the periodicity character, the convergenceand the global stability of the positive solutions of the nonlinear rational difference equation/ , n 0,1,2,....0 01 kii n ikin i n i x x B xwhere the coefficients i i B , , together with the initial conditions ,.... , , 1 0 x x x k are arbitrarypositive real numbers, while k is a positive integer number.
1

333
339


E. M. E.
Zayed
Mathematics Department, Faculty of Science and Arts, Jazan University,
Farasan, Jazan, Kingdom of Saudi Arabia
Mathematics Department, Faculty of Science
Saudi Arabia


A.
ElMoneam
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Present address: Mathematics Department, Faculty of Science and Arts, Jazan University,
Farasan, Jazan, Kingdom of Saudi Arabia
Mathematics Department, Faculty of Science,
Saudi Arabia
mabdelmeneam2004@yahoo.com
Difference equations
boundedness character
prime period two solution
global stability
convergence