In this paper, we determine the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP)
-y′′+q(x)y=λ²y, x∈ℝ₊=[0,∞]
(α₀+α₁λ+α₂λ²)y′(0)-(β₀+β₁λ+β₂λ²)y(0)=0,
where q is a complex-valued function, α_{i}, β_{i}∈ℂ, i=0,1,2 and λ is a eigenparameter, and introduce the convergence properties of principal functions.
Eigenvalue Jost solution principal function non-selfadjoint differential operator spectral analysis spectral singularity.
Bölüm | Mathematics |
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Yazarlar | |
Yayımlanma Tarihi | 14 Mart 2017 |
Yayımlandığı Sayı | Yıl 2017 Cilt: 30 Sayı: 1 |