Completeness of eigenfunctions of discontinuous Sturm-Liouville problems
Yükleniyor...
Dosyalar
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm-Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L-2[-1, 1] circle plus C and suitable self-adjoint linear operator in it.
Açıklama
Anahtar Kelimeler
Sturm-Liouville problem, Eigenvalue, Eigenfunction, Resolvent operator, Transmission conditions, Boundary-Value-Problems, Eigenvalue Parameter
Kaynak
Iranian Journal of Science and Technology Transaction A-Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
40
Sayı
A1
