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


MSC:

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

[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
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