Yazarlar (1) |
![]() Karabük Üniversitesi, Türkiye |
Özet |
In this study, we investigate the discreteness and finiteness of the negative spectrum of the differential operator L in the Hilbert space L2(H,[0,∞)), defined as Ly=−d2ydx2+A(A+I)x2y−Q(x)y, under the boundary condition y(0) = 0. In the case when the negative spectrum is finite, we obtain an evaluation for the sums of powers of the absolute values of negative eigenvalues. The obtained result is applied to a class of equations of mathematical physics. |
Anahtar Kelimeler |
eigenvalues | Hilbert space | operator-differential equations | Schrödinger operator | spectrum |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | BOUNDARY VALUE PROBLEMS |
Dergi ISSN | 1687-2770 Wos Dergi Scopus Dergi |
Dergi Tarandığı Indeksler | SCI-Expanded |
Makale Dili | İngilizce |
Basım Tarihi | 11-2017 |
Cilt No | 2017 |
Sayı | 160 |
Sayfalar | 1 / 15 |
Doi Numarası | 10.1186/s13661-017-0889-3 |