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Conditions for discreteness of the spectrum of the sturm-Liouville operator in the space of vector functions

✍ Scribed by L. B. Zelenko


Publisher
SP MAIK Nauka/Interperiodica
Year
1967
Tongue
English
Weight
215 KB
Volume
1
Category
Article
ISSN
0001-4346

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✍ Elgiz Bairamov; Yelda Aygar; Turhan Koprubasi πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 225 KB

Let us consider the boundary value problem (BVP) for the discrete Sturm-Liouville equation where (a n ) and (b n ), n ∈ N are complex sequences, γ i , β i ∈ C, i = 0, 1, and λ is a eigenparameter. Discussing the point spectrum, we prove that the BVP (0.1), (0.2) has a finite number of eigenvalues a