On a boundary value problem of N. I. Ionkin type

Differential Equations - Tập 49 - Trang 1233-1245 - 2013
N. B. Kerimov1
1Mersin University, Mersin, Turkey

Tóm tắt

We study the spectral properties of a second-order differential operator with regular but not strongly regular boundary conditions. We show that the system of root functions of this operator contains infinitely many associated functions. We prove that a specially chosen system of root functions of this operator forms a basis in the space L p (0, 1), 1 < p < ∞, which is unconditional for p = 2.

Tài liệu tham khảo

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