Asymptotics of the eigenvalues of a boundary value problem for the operator Schrodinger equation with boundary conditions nonlinearly dependent on the spectral parameter      
Yazarlar (1)
Prof. Dr. İlyas HAŞİMOĞLU Karabük Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta Seriya Fiziko Matematicheskie Nauki
Dergi ISSN 1991-8615 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili Türkçe
Basım Tarihi 01-2021
Cilt No 25
Sayı 4
Sayfalar 607 / 615
DOI Numarası 10.14498/VSGTU1894
Özet
On the space H1 = L2(H, [0, 1]), where H is a separable Hilbert space, we study the asymptotic behavior of the eigenvalues of a boundary value problem for the operator Schrödinger equation for the case when one, and the same, spectral parameter participates linearly in the equation and quadratically in the boundary condition. Asymptotic formulae are obtained for the eigenvalues of the considered boundary value problem.
Anahtar Kelimeler
Asymptotic formula | Eigenvalue | Hilbert space | Operator differential equations | Spectrum