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

被引:0
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作者
Yelda Aygar
机构
[1] University of Ankara,Department of Mathematics, Faculty of Science
关键词
Hilbert Space; Boundary Value Problem; Finite Number; Green Function; Nonnegative Integer;
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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.
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