Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter

Advances in Difference Equations

Yelda Aygar¹ 

[1] Department of Mathematics, Faculty of Science, University of Ankara, Ankara, Turkey

关键词: Hilbert Space;    Boundary Value Problem;    Finite Number;    Green Function;    Nonnegative Integer;   

DOI  :  10.1186/s13662-015-0587-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Spectral analysis of a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions depending on an eigenvalue parameter with spectral singularities was first studied by Aygar and Bohner (Appl. Math. Inf. Sci. 9(4):1725-1729, 2015). The main goal of this paper is to construct the principal vectors corresponding to the eigenvalues and the spectral singularities of this BVP. These vectors are important to get the spectral expansion formula for this BVP.

【 授权许可】

CC BY