Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12323/4662
Title: The basis properties of eigenfunctions in the eigenvalue problem with a spectral parameter in the boundary condition
Authors: Kerimov, N. B.
Aliev, Z. S.
Issue Date: 2007
Publisher: Pleiades Publishing, Ltd.
Citation: Doklady Mathematics
Series/Report no.: Vol. 412;№ 1
Abstract: Boundary value problems for second- and fourth- order ordinary differential operators with a spectral parameter in the boundary conditions have been exten- sively studied (see, eg, [1–9]). In [3–5], such problems were associated with particular physical processes. The basis properties of the system of eigenfunctions in the Sturm–Liouville problem with a spectral param- eter in the boundary conditions were studied in various function spaces in [7–9]. The existence of eigenvalues, estimate for eigenvalues and eigenfunctions, and expansion theorems for fourth-order operators with a spectral parameter in the boundary condition were con- sidered in [1, 6] … This paper deals with the basis properties in Lp(0, l) (1 < p < ∞) of the system of eigenfunctions of boundary value problem (1), (2) …
URI: http://hdl.handle.net/20.500.12323/4662
ISSN: 1064-5624
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