Spectral Characteristics of the Sturm-Liouville Problem with Spectral Parameter-Dependent Boundary Conditions
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Tarih
2024
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Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We consider the Sturm-Liouville problem on the half line (0 ≤ x < ∞), where the boundary conditions contain polynomials of the spectral parameter. We define the scat- tering function and present the spectrum of the boundary value problem. The continuity of the scattering function is discussed. In a special case, the Levinson-type formula is intro- duced, demonstrating that the increment of the scattering function’s logarithm is related to the number of eigenvalues.
Açıklama
Anahtar Kelimeler
Scattering function, Levinson-type formula, spectral parameter dependent boundary condition
Kaynak
Journal of New Theory
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
48
