Spectral analysis of second order difference equations. (English) Zbl 0392.39001


39A12 Discrete version of topics in analysis
47A10 Spectrum, resolvent
39A70 Difference operators
47B39 Linear difference operators
Full Text: DOI


[1] Atkinson, F.V, Discrete and continuous boundary value problems, (1964), Academic Press New York · Zbl 0117.05806
[2] Berezanskii, J.M, Expansions in eigenfunctions of selfadjoint operators, AMS translations of mathematical monographs, providence, R.I., Vol. 17, (1968) · Zbl 0157.16601
[3] Glazman, I.M, Direct methods of qualitative spectral analysis of singular differential operators, (1965), I.P.S.T Jerusalem · Zbl 0143.36505
[4] Hille, E, Nonoscillation theorems, Trans. amer. math. soc., 64, 234-252, (1948) · Zbl 0031.35402
[5] Fort, T, Finite differences and difference equations in the real domain, (1948), Oxford Univ. Press London · Zbl 0030.11902
[6] McCarthy, P.J, Note on oscillation of solutions of second-order linear difference equations, Portugal. math., 18, 203-205, (1959) · Zbl 0094.06102
[7] Naimark, M.A, Linear differential operators, part II, (1968), Ungar New York · Zbl 0227.34020
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.