Browsing by Author "Koprubasi, T, Yokus, N"

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Principal functions of non-selfadjoint discrete Sturm-Liouville equations with quadratic spectral parameter in boundary conditions
(2018-04-03) Koprubasi T., Yokus N.; Koprubasi, T, Yokus, N
In this paper, we study the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) an-1yn-1 + bnyn + anyn+1 = λyn, n∈ ℕ (γ0 + γ1λ + γ2λ2)y1 + (β0 _ β1λ + β2λ2)yo = 0 where (an) and (bn) n ∈ ℕ are complex sequences, γi βi, ∈ and ℂ is a eigenparameter.
Quadratic eigenparameter dependent discrete Sturm-Liouville equations with spectral singularities
(2014-10-01) Koprubasi T., Yokus N.; Koprubasi, T, Yokus, N
Let us consider the boundary value problem (BVP) for the discrete Sturm-Liouville equationan-1yn-1+bnyn+anyn+1=λyn,n N,( γ0+γ1λ+γ2λ2)y1+(β0+ β1λ+β2λ2) y0=0,where (an) and (bn),nâ̂̂N are complex sequences, γi,βiâ̂̂ C,i=0,1,2, and λ is a eigenparameter. Discussing the point spectrum, we prove that the BVP (0.1) and (0.2) has a finite number of eigenvalues and spectral singularities with a finite multiplicities, ifsupnâ̂̂ Nexp(εnδ)1-an+bn<â̂ for some ε>0 and 12≤δ≤1. © 2014 Elsevier Inc. All rights reserved.