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Title: Oscillation Theory of Linear Difference Equations (English)
Author: Došlý, Ondřej
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 36
Issue: 5
Year: 2000
Pages: 329-342
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Category: math
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MSC: 39-01
MSC: 39A10
MSC: 39A11
idZBL: Zbl 1090.39001
idMR: MR1822804
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Date available: 2008-06-06T22:26:33Z
Last updated: 2012-05-10
Stable URL: http://hdl.handle.net/10338.dmlcz/107749
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Reference: 13. O. Došlý R. Hilscher: A class of Sturm-Liouville difference equations: (non)oscillation constants and property BD.submitted.
Reference: 14. O. Došlý J. Osička: Kneser-type oscillation criteria for self-adjoint, two term, differential equations.Georgian J. Math., 2 (1995), 241-258. MR 1334880
Reference: 15. O. Došlý J. Osička: Oscillation and nonoscillation of higher order self-adjoint differential equations.to appear in Czech. Math. J. MR 1940063
Reference: 16. O. Došlý P. Řehák: Nonoscillation criteria for half-linear second order difference equations.to appear in Comput. Appl. Math. MR 1838006
Reference: 17. S. N. Elaydi: An Introduction to Difference Equations.Second Edition, Springer Verlag, 2000. Zbl 1071.39001, MR 1711587
Reference: 18. U. Elias: Oscillation Theory of Two-Term Differential equations.Kluwer, Dordrecht-Boston-London, 1997. Zbl 0878.34022, MR 1445292
Reference: 19. I. M. Gelfand S. V. Fomin: Calculus of Variations.Prentice Hall, Engelwood, 1963. MR 0160139
Reference: 20. B. Harris R. J. Kruger W. T.Trench: Trench’s canonical form for a disconjugate n-th order linear difference equations.Panamer. Math. J. 8 (1998), 55-71. MR 1642648
Reference: 21. P. Hartman: Difference equations: disconjugacy, principal solutions, Green’s function, complete monotonicity.Trans. Amer. Math. Soc. 246 (1978), 1–30. MR 0515528
Reference: 22. W. G. Kelley A. Peterson: Difference Equations: An Introduction with Applications.Acad. Press, San Diego, 1991. MR 1142573
Reference: 23. S. Peňa: Discrete spectra criteria for singular difference operators.Math. Bohem. 124 (1999), 35–44. MR 1687425
Reference: 24. G. Polya: On the mean-value theorem corresponding to a given linear homogeneous differential equation.Trans. Amer. Math. Soc. 24 (1924), 312-324. MR 1501228
Reference: 25. H. Prüfer: Neue Herleitung der Sturm-Liouvilleschen Reihenentwicklung stetiger Funktionen.Math. Ann. 95 (1926), 499-518. MR 1512291
Reference: 26. W. T. Reid: Sturmian Theory for Ordinary Differential Equations.Springer Verlag, New York-Heidelberg-Berlin 1980. Zbl 0459.34001, MR 0606199
Reference: 27. W. F. Trench: Canonical forms and principal systems of general disconjugate equations.Trans. Amer. Math. Soc. 189 (1974), 319-327. MR 0330632
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