مجله ایرانی علوم و تکنولوژی-الف
سال:1390 | دوره:35 | شماره:4-الف |تعداد مقالات:10

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 are 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.

In this paper, we give the characterization of some classes of compact operators given by matrices on the normed sequence space rqp (Bm), which is a special case of the paranormed Riesz Bm-difference sequence space rq (p, Bm). For this purpose, we apply the Hausdorff measure of noncompactness and use some results.

The purpose of this article is to use the classical sampling theorem, WKS sampling theorem, to derive approximate values of the eigenvalues of the Sturm-Liouville problems with eigenparameter in the boundary 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 existing results.

Let M be a lattice module over the multiplicative lattice L. An L-module M is called a multiplication lattice module if for every element NÎM there exists an element aÎL such that N=a1M. Our objective is to investigate properties of prime elements of multiplication lattice modules.

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.

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