Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
Tangent Bishop spherical images of a biharmonic B-slant helix in the Heisenberg group Heis3
265
271
EN
T.
Korpinar
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
E.
Turhan
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
essin.turhan@gmail.com
V.
Asil
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
10.22099/ijsts.2011.2150
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 B-slant helix. Additionally, we illustrate four figures of our main theorem.
biharmonic curve,Bishop frame,Heisenberg group,tangent Bishop spherical images
http://ijsts.shirazu.ac.ir/article_2150.html
http://ijsts.shirazu.ac.ir/article_2150_83a6cae962277f3032abd5d513b313e7.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
Some applications of the product of submodules in multiplication modules
273
277
EN
A.
Azizi
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
aazizi@shirazu.ac.ir
C.
Jayaram
University of the West Indies, Department of Mathematics, Bridgetown, Barbados
10.22099/ijsts.2011.2151
Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication R-module 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.
Multiplication ideal,multiplication module,prime submodule,principal ideal multiplication module,product of submodules,Quasi cyclic submodule
http://ijsts.shirazu.ac.ir/article_2151.html
http://ijsts.shirazu.ac.ir/article_2151_60ae10c6a476fc88633dba5e5b7ea3f0.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
On compact operators on the Riesz Bm-difference sequence space
279
285
EN
M.
Basarir
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
basarir@sakarya.edu.tr
E. E.
Kara
Department of Mathematics, Bilecik University, 11210, Bilecik, Turkey
10.22099/ijsts.2011.2152
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.
-difference sequence spaces,Hausdorff measure of noncompactness,compact operators
http://ijsts.shirazu.ac.ir/article_2152.html
http://ijsts.shirazu.ac.ir/article_2152_c3e3bc2cba3ebb5ec4ff041b7b82e856.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
Wavelet solutions of the second Painleve equation
287
291
EN
E.
Hesameddini
Department of Mathematics, Faculty of Basic Sciences, Shiraz University of
Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, Iran
hesameddini@sutech.ac.ir
S.
Shekarpaz
Department of Mathematics, Faculty of Basic Sciences, Shiraz University of
Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, Iran
10.22099/ijsts.2011.2153
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.
Multiresolution analysis,Wavelet,Painleve equations,legendre wavelet,Adomian Decomposition
Method
http://ijsts.shirazu.ac.ir/article_2153.html
http://ijsts.shirazu.ac.ir/article_2153_836c1c7bda66ef58fcead78d7a6f9f97.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
Computing of eigenvalues of sturm-liouville problems with eigenparameter dependent boundary conditions
293
299
EN
S. M.
Al-Harbi
Mathematics Department, University College, Umm Al-Qura University, Makkah, Saudi Arabia
salharbi434@yahoo.com
10.22099/ijsts.2011.2154
The purpose of this article is to use the classical sampling theorem, WKS sampling theorem, to deriveapproximate values of the eigenvalues of the Sturm-Liouville 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.
Eigenvalue problem with eigenparameter in the boundary conditions,sinc methods,computing
eigenvalues
http://ijsts.shirazu.ac.ir/article_2154.html
http://ijsts.shirazu.ac.ir/article_2154_7af07f50813828309e6177a171dc6da8.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
Direct and fixed point methods approach to the generalized Hyers–Ulam stability for a functional equation having monomials as solutions
301
307
EN
H.
Azadi Kenary
Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran
azadi@mail.yu.ac.ir
C.
Park
Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South Korea
10.22099/ijsts.2011.2155
The main goal of this paper is the study of the generalized Hyers-Ulam 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.
Hyers- Ulam stability,non -Archimedean normed space,p - adic field
http://ijsts.shirazu.ac.ir/article_2155.html
http://ijsts.shirazu.ac.ir/article_2155_b16b3ef844c2102c9773dc67caea12d5.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
Multiplication lattice modules
309
313
EN
F.
Callialp
Department of Mathematics, Dogus University, Acıbadem, Istanbul, Turkey
U.
Tekir
Department of Mathematics, Marmara University, Ziverbey-Goztepe, Istanbul, Turkey
utekir@marmara.edu.tr
10.22099/ijsts.2011.2156
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.
Multiplicative lattice,lattice modules,maximal element,prime element
http://ijsts.shirazu.ac.ir/article_2156.html
http://ijsts.shirazu.ac.ir/article_2156_a8cc3a7ca6f0e609a7e25b2e8d47e40a.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
A Square representation technique for locating frequencies that have maximum autocorrelations
315
321
EN
M.
Taghavi
Department of Mathematics, School of Sienses, Shiraz University, Shiraz, Iran
taghavi@math.susc.ac.ir
10.22099/ijsts.2011.2157
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.
Square representation,stable cycles,Golay pair of polynomials
http://ijsts.shirazu.ac.ir/article_2157.html
http://ijsts.shirazu.ac.ir/article_2157_04bbc8843564110349d35c2528a97980.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
A class of fourth order differential operators with transmission conditions
323
332
EN
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
yqiuxia@yahoo.com
W. Y.
Wang
Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China
10.22099/ijsts.2011.2158
We investigate a class of fourth-order differential operators with eigenparameter dependent boundary conditions and transmission conditions. A self-adjoint 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.
Differential operator,eigenvalues,eigenfunctions,Green function,completeness
http://ijsts.shirazu.ac.ir/article_2158.html
http://ijsts.shirazu.ac.ir/article_2158_424501ad4b2de2356056969b1ec44293.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
35
4
2011
12
06
On the global asymptotic stability for a rational recursive sequence
333
339
EN
E. M. E.
Zayed
Mathematics Department, Faculty of Science and Arts, Jazan University,
Farasan, Jazan, Kingdom of Saudi Arabia
A.
El-Moneam
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
mabdelmeneam2004@yahoo.com
10.22099/ijsts.2011.2159
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.
Difference equations,boundedness character,prime period two solution,global stability,convergence
http://ijsts.shirazu.ac.ir/article_2159.html
http://ijsts.shirazu.ac.ir/article_2159_22ac2ec666f4144d2791a7a9a9bcce24.pdf