eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
265
271
10.22099/ijsts.2011.2150
2150
Tangent Bishop spherical images of a biharmonic B-slant helix in the Heisenberg group Heis3
T. Korpinar
1
E. Turhan
essin.turhan@gmail.com
2
V. Asil
3
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
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.
http://ijsts.shirazu.ac.ir/article_2150_83a6cae962277f3032abd5d513b313e7.pdf
biharmonic curve
Bishop frame
Heisenberg group
tangent Bishop spherical images
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
273
277
10.22099/ijsts.2011.2151
2151
Some applications of the product of submodules in multiplication modules
A. Azizi
aazizi@shirazu.ac.ir
1
C. Jayaram
2
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
University of the West Indies, Department of Mathematics, Bridgetown, Barbados
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.
http://ijsts.shirazu.ac.ir/article_2151_60ae10c6a476fc88633dba5e5b7ea3f0.pdf
Multiplication ideal
multiplication module
prime submodule
principal ideal multiplication module
product of submodules
Quasi cyclic submodule
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
279
285
10.22099/ijsts.2011.2152
2152
On compact operators on the Riesz Bm-difference sequence space
M. Basarir
basarir@sakarya.edu.tr
1
E. E. Kara
2
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
Department of Mathematics, Bilecik University, 11210, Bilecik, Turkey
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.
http://ijsts.shirazu.ac.ir/article_2152_c3e3bc2cba3ebb5ec4ff041b7b82e856.pdf
-difference sequence spaces
Hausdorff measure of noncompactness
compact operators
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
287
291
10.22099/ijsts.2011.2153
2153
Wavelet solutions of the second Painleve equation
E. Hesameddini
hesameddini@sutech.ac.ir
1
S. Shekarpaz
2
Department of Mathematics, Faculty of Basic Sciences, Shiraz University of Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, Iran
Department of Mathematics, Faculty of Basic Sciences, Shiraz University of Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, Iran
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.
http://ijsts.shirazu.ac.ir/article_2153_836c1c7bda66ef58fcead78d7a6f9f97.pdf
Multiresolution analysis
Wavelet
Painleve equations
legendre wavelet
Adomian Decomposition
Method
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
293
299
10.22099/ijsts.2011.2154
2154
Computing of eigenvalues of sturm-liouville problems with eigenparameter dependent boundary conditions
S. M. Al-Harbi
salharbi434@yahoo.com
1
Mathematics Department, University College, Umm Al-Qura University, Makkah, Saudi Arabia
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.
http://ijsts.shirazu.ac.ir/article_2154_7af07f50813828309e6177a171dc6da8.pdf
Eigenvalue problem with eigenparameter in the boundary conditions
sinc methods
computing
eigenvalues
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
301
307
10.22099/ijsts.2011.2155
2155
Direct and fixed point methods approach to the generalized Hyers–Ulam stability for a functional equation having monomials as solutions
H. Azadi Kenary
azadi@mail.yu.ac.ir
1
C. Park
2
Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran
Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South Korea
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.
http://ijsts.shirazu.ac.ir/article_2155_b16b3ef844c2102c9773dc67caea12d5.pdf
Hyers- Ulam stability
non -Archimedean normed space
p - adic field
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
309
313
10.22099/ijsts.2011.2156
2156
Multiplication lattice modules
F. Callialp
1
U. Tekir
utekir@marmara.edu.tr
2
Department of Mathematics, Dogus University, Acıbadem, Istanbul, Turkey
Department of Mathematics, Marmara University, Ziverbey-Goztepe, Istanbul, Turkey
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.
http://ijsts.shirazu.ac.ir/article_2156_a8cc3a7ca6f0e609a7e25b2e8d47e40a.pdf
Multiplicative lattice
lattice modules
maximal element
prime element
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
315
321
10.22099/ijsts.2011.2157
2157
A Square representation technique for locating frequencies that have maximum autocorrelations
M. Taghavi
taghavi@math.susc.ac.ir
1
Department of Mathematics, School of Sienses, Shiraz University, Shiraz, Iran
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.
http://ijsts.shirazu.ac.ir/article_2157_04bbc8843564110349d35c2528a97980.pdf
Square representation
stable cycles
Golay pair of polynomials
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
323
332
10.22099/ijsts.2011.2158
2158
A class of fourth order differential operators with transmission conditions
Q. X Yang
yqiuxia@yahoo.com
1
W. Y. Wang
2
1Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China 2Department of Computer Science and Technology, Dezhou University, Dezhou 253023, P. R. China
Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China
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.
http://ijsts.shirazu.ac.ir/article_2158_424501ad4b2de2356056969b1ec44293.pdf
Differential operator
eigenvalues
eigenfunctions
Green function
completeness
eng
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2011-12-06
35
4
333
339
10.22099/ijsts.2011.2159
2159
On the global asymptotic stability for a rational recursive sequence
E. M. E. Zayed
1
A. El-Moneam
mabdelmeneam2004@yahoo.com
2
Mathematics Department, Faculty of Science and Arts, Jazan University, Farasan, Jazan, Kingdom of Saudi Arabia
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
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.
http://ijsts.shirazu.ac.ir/article_2159_22ac2ec666f4144d2791a7a9a9bcce24.pdf
Difference equations
boundedness character
prime period two solution
global stability
convergence