- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 68 Issue: 2
- Spectral expansion of Sturm-Liouville problems with eigenvalue-dependent boundary conditions
Spectral expansion of Sturm-Liouville problems with eigenvalue-dependent boundary conditions
Authors : Nihal Yokuş, Esra Kir Arpat
Pages : 1316-1334
Doi:10.31801/cfsuasmas.526270
View : 7 | Download : 4
Publication Date : 2019-08-01
Article Type : Research
Abstract :In this paper, we consider the operator L generated in L₂(R₊) by the differential expression l(y)=-y′′+q(x)y,x∈R₊:=[0,∞) and the boundary condition ((y′(0))/(y(0)))=α₀+α₁λ+α₂λ², where q is a complex valued function and α_{i}∈C,[mbox]Keywords : Eigenvalues, spectral singularities, principal functions, resolvent, spectral expansion.