Tangent Bishop spherical images of a biharmonic B-slant helix in the Heisenberg group Heis3
T.
Korpinar
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
author
E.
Turhan
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
author
V.
Asil
Department of Mathematics, Firat University, 23119, Elazıg, Turkey
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
265
271
http://ijsts.shirazu.ac.ir/article_2150_83a6cae962277f3032abd5d513b313e7.pdf
dx.doi.org/10.22099/ijsts.2011.2150
Some applications of the product of submodules in multiplication modules
A.
Azizi
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
author
C.
Jayaram
University of the West Indies, Department of Mathematics, Bridgetown, Barbados
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
273
277
http://ijsts.shirazu.ac.ir/article_2151_60ae10c6a476fc88633dba5e5b7ea3f0.pdf
dx.doi.org/10.22099/ijsts.2011.2151
On compact operators on the Riesz Bm-difference sequence space
M.
Basarir
Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey
author
E. E.
Kara
Department of Mathematics, Bilecik University, 11210, Bilecik, Turkey
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
279
285
http://ijsts.shirazu.ac.ir/article_2152_c3e3bc2cba3ebb5ec4ff041b7b82e856.pdf
dx.doi.org/10.22099/ijsts.2011.2152
Wavelet solutions of the second Painleve equation
E.
Hesameddini
Department of Mathematics, Faculty of Basic Sciences, Shiraz University of
Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, Iran
author
S.
Shekarpaz
Department of Mathematics, Faculty of Basic Sciences, Shiraz University of
Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, Iran
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
287
291
http://ijsts.shirazu.ac.ir/article_2153_836c1c7bda66ef58fcead78d7a6f9f97.pdf
dx.doi.org/10.22099/ijsts.2011.2153
Computing of eigenvalues of sturm-liouville problems with eigenparameter dependent boundary conditions
S. M.
Al-Harbi
Mathematics Department, University College, Umm Al-Qura University, Makkah, Saudi Arabia
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
293
299
http://ijsts.shirazu.ac.ir/article_2154_7af07f50813828309e6177a171dc6da8.pdf
dx.doi.org/10.22099/ijsts.2011.2154
Direct and fixed point methods approach to the generalized Hyers–Ulam stability for a functional equation having monomials as solutions
H.
Azadi Kenary
Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran
author
C.
Park
Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South Korea
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
301
307
http://ijsts.shirazu.ac.ir/article_2155_b16b3ef844c2102c9773dc67caea12d5.pdf
dx.doi.org/10.22099/ijsts.2011.2155
Multiplication lattice modules
F.
Callialp
Department of Mathematics, Dogus University, Acıbadem, Istanbul, Turkey
author
U.
Tekir
Department of Mathematics, Marmara University, Ziverbey-Goztepe, Istanbul, Turkey
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
309
313
http://ijsts.shirazu.ac.ir/article_2156_a8cc3a7ca6f0e609a7e25b2e8d47e40a.pdf
dx.doi.org/10.22099/ijsts.2011.2156
A Square representation technique for locating frequencies that have maximum autocorrelations
M.
Taghavi
Department of Mathematics, School of Sienses, Shiraz University, Shiraz, Iran
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
315
321
http://ijsts.shirazu.ac.ir/article_2157_04bbc8843564110349d35c2528a97980.pdf
dx.doi.org/10.22099/ijsts.2011.2157
A class of fourth order differential operators with transmission conditions
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
author
W. Y.
Wang
Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
323
332
http://ijsts.shirazu.ac.ir/article_2158_424501ad4b2de2356056969b1ec44293.pdf
dx.doi.org/10.22099/ijsts.2011.2158
On the global asymptotic stability for a rational recursive sequence
E. M. E.
Zayed
Mathematics Department, Faculty of Science and Arts, Jazan University,
Farasan, Jazan, Kingdom of Saudi Arabia
author
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
author
text
article
2011
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
35
v.
4
no.
2011
333
339
http://ijsts.shirazu.ac.ir/article_2159_22ac2ec666f4144d2791a7a9a9bcce24.pdf
dx.doi.org/10.22099/ijsts.2011.2159