A self adjoint expansion of a symmetric differential operator with operator coefficient
Int. J. Contemp. Math. Sci., Vol. 2, No. 22, s. 1053-1067., cilt.2, sa.66, ss.1053-1067, 2007 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2 Sayı: 66
- Basım Tarihi: 2007
- Doi Numarası: 10.12988/ijcms.2007.07107
- Dergi Adı: Int. J. Contemp. Math. Sci., Vol. 2, No. 22, s. 1053-1067.
- Derginin Tarandığı İndeksler: MathSciNet
- Sayfa Sayıları: ss.1053-1067
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
In this work, we prove that the closure of a symmetric operator L0
which is formed by differential expression
(L0y)(x) = −(p(x)y
(x)) − Q(x)y(x)
and with the boundary condition
cos α.y(0) + sinα.y
(0) = 0
is self adjoint where α ∈ (−∞,∞) in the space L2(0,∞; H ). Furthermore, we investigate some properties of this operator.
Mathematics Subject Classification: 47A10, 34L20
Keywords: Closure, Hilbert Space, Self-Adjoint Operator, Symmetric Operator