SpringerIranian Journal of Science2731-809535420111206Tangent Bishop spherical images of a biharmonic B-slant helix in the Heisenberg group Heis3265271215010.22099/ijsts.2011.2150ENT. KorpinarDepartment of Mathematics, Firat University, 23119, Elazıg, TurkeyE. TurhanDepartment of Mathematics, Firat University, 23119, Elazıg, TurkeyV. AsilDepartment of Mathematics, Firat University, 23119, Elazıg, TurkeyJournal Article20101101In 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 are<br />characterized 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.https://ijsts.shirazu.ac.ir/article_2150_83a6cae962277f3032abd5d513b313e7.pdfSpringerIranian Journal of Science2731-809535420111206Some applications of the product of submodules in multiplication modules273277215110.22099/ijsts.2011.2151ENA. AziziDepartment of Mathematics, College of Sciences, Shiraz University, Shiraz, IranC. JayaramUniversity of the West Indies, Department of Mathematics, Bridgetown, BarbadosJournal Article20110306Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication R-module M. Then<br />N=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. In<br />this paper we characterize some particular cases of multiplication modules by using the product of submodules.https://ijsts.shirazu.ac.ir/article_2151_60ae10c6a476fc88633dba5e5b7ea3f0.pdfSpringerIranian Journal of Science2731-809535420111206On compact operators on the Riesz B<sup>m</sup>-difference sequence space279285215210.22099/ijsts.2011.2152ENM. BasarirDepartment of Mathematics, Sakarya University, 54187, Sakarya, TurkeyE. E. KaraDepartment of Mathematics, Bilecik University, 11210, Bilecik, TurkeyJournal Article20110531In 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.https://ijsts.shirazu.ac.ir/article_2152_c3e3bc2cba3ebb5ec4ff041b7b82e856.pdfSpringerIranian Journal of Science2731-809535420111206Wavelet solutions of the second Painleve equation287291215310.22099/ijsts.2011.2153ENE. HesameddiniDepartment of Mathematics, Faculty of Basic Sciences, Shiraz University of
Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, IranS. ShekarpazDepartment of Mathematics, Faculty of Basic Sciences, Shiraz University of
Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, IranJournal Article20101130Dynamically adaptive numerical methods have been developed to find solutions for differential equations. The<br />subject of wavelet has attracted the interest of many researchers, especially, in finding efficient solutions for<br />differential 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.https://ijsts.shirazu.ac.ir/article_2153_836c1c7bda66ef58fcead78d7a6f9f97.pdfSpringerIranian Journal of Science2731-809535420111206Computing of eigenvalues of sturm-liouville problems with eigenparameter dependent boundary conditions293299215410.22099/ijsts.2011.2154ENS. M. Al-HarbiMathematics Department, University College, Umm Al-Qura University, Makkah, Saudi ArabiaJournal Article20110502The purpose of this article is to use the classical sampling theorem, WKS sampling theorem, to derive<br />approximate values of the eigenvalues of the Sturm-Liouville problems with eigenparameter in the boundary<br />conditions. 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 with<br />existing results.https://ijsts.shirazu.ac.ir/article_2154_7af07f50813828309e6177a171dc6da8.pdfSpringerIranian Journal of Science2731-809535420111206Direct and fixed point methods approach to the generalized Hyers–Ulam stability for a functional equation having monomials as solutions301307215510.22099/ijsts.2011.2155ENH. Azadi KenaryDepartment of Mathematics, College of Sciences, Yasouj University, Yasouj, IranC. ParkDepartment of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South KoreaJournal Article20110118The main goal of this paper is the study of the generalized Hyers-Ulam stability of the following functional<br />equation 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.https://ijsts.shirazu.ac.ir/article_2155_b16b3ef844c2102c9773dc67caea12d5.pdfSpringerIranian Journal of Science2731-809535420111206Multiplication lattice modules309313215610.22099/ijsts.2011.2156ENF. CallialpDepartment of Mathematics, Dogus University, Acıbadem, Istanbul, TurkeyU. TekirDepartment of Mathematics, Marmara University, Ziverbey-Goztepe, Istanbul, TurkeyJournal Article20110413Let M be a lattice module over the multiplicative lattice . An module M is called a multiplication lattice<br />module if for every element N there exists an element such that 1. Our objective is to<br />investigate properties of prime elements of multiplication lattice modules.https://ijsts.shirazu.ac.ir/article_2156_a8cc3a7ca6f0e609a7e25b2e8d47e40a.pdfSpringerIranian Journal of Science2731-809535420111206A Square representation technique for locating frequencies that have maximum autocorrelations315321215710.22099/ijsts.2011.2157ENM. TaghaviDepartment of Mathematics, School of Sienses, Shiraz University, Shiraz, IranJournal Article20110427From 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.https://ijsts.shirazu.ac.ir/article_2157_04bbc8843564110349d35c2528a97980.pdfSpringerIranian Journal of Science2731-809535420111206A class of fourth order differential operators with transmission conditions323332215810.22099/ijsts.2011.2158ENQ. X Yang1Mathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. China
2Department of Computer Science and Technology, Dezhou University, Dezhou 253023, P. R. ChinaW. Y. WangMathematics Science College, Inner Mongolia University, Huhhot 010021, P. R. ChinaJournal Article20110206We 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.https://ijsts.shirazu.ac.ir/article_2158_424501ad4b2de2356056969b1ec44293.pdfSpringerIranian Journal of Science2731-809535420111206On the global asymptotic stability for a rational recursive sequence333339215910.22099/ijsts.2011.2159ENE. M. E. ZayedMathematics Department, Faculty of Science and Arts, Jazan University,
Farasan, Jazan, Kingdom of Saudi ArabiaA. El-MoneamMathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Present address: Mathematics Department, Faculty of Science and Arts, Jazan University,
Farasan, Jazan, Kingdom of Saudi ArabiaJournal Article20110104The main objective of this paper is to study the boundedness character, the periodicity character, the convergence<br />and the global stability of the positive solutions of the nonlinear rational difference equation<br />/ , n 0,1,2,....<br />0 0<br />1 <br /><br /><br /><br /><br /> <br /><br /><br /><br /><br /> <br /><br /><br /><br /> <br />k<br />i<br />i n i<br />k<br />i<br />n i n i x x B x<br />where the coefficients i i B , , together with the initial conditions ,.... , , 1 0 x x x k are arbitrary<br />positive real numbers, while k is a positive integer number.https://ijsts.shirazu.ac.ir/article_2159_22ac2ec666f4144d2791a7a9a9bcce24.pdf