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Title: On oscillation criteria for self-adjoint linear differential equation of the fourth order (English)
Title: Oscilační kriteria pro samoadjungovanou lineární diferenciální rovnici čtvrtého řádu (Czech)
Author: Došlý, Ondřej
Author: Osička, Jan
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 115
Issue: 4
Year: 1990
Pages: 351-359
Summary lang: English
Summary lang: Czech
Summary lang: Russian
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Category: math
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MSC: 34C10
idZBL: Zbl 0719.34055
idMR: MR1090859
DOI: 10.21136/CPM.1990.118413
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Date available: 2009-09-23T09:59:56Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/118413
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Reference: [1] C. D. Ahlbrandt D. B. Hinton R. T. Lewis: The effect of variable change on oscillation and disconjugacy cгiteria with applications to spectгal theory and asymptotic theory.J. Math. Anal. Appl. 81 (1981), 234-277. MR 0618771
Reference: [2] J. H. Barrett: Oscillation theoгy of ordinary linear differential equations.Adv. in Math. 3 (1969), 415-509. MR 0257462
Reference: [З] W. A. Coppel: Disconjugacy.Lecture Notes in Math. No 220, Springer-Verlag, Berlin-Heidelberg 1971. Zbl 0224.34003, MR 0460785
Reference: [4] I. M. Glazman: Direct Мethods of Qualitative Spectral Analysis of Singular Differential Operators.Davey, Јerusalem 1965. MR 0190800
Reference: [5] D. B. Hinton R. T. Lewis: Oscillation theory at a finite singularity.Ј. Diff. Equations 30 (1978), 235-247. MR 0513271
Reference: [6] K. Kreith: Oscillation Theory.Lecture Notes in Math. No 324, Springer-Verlag, Nex Yrok 1973. Zbl 0258.35001
Reference: [7] R. T. Lewis: Oscillation and nonoscillation criteria for some self-adjoint even order differential operators.Pacific Ј. Math. 51 (1974), 221-234. MR 0350112
Reference: [8] E. Müller-Pfeiffer: Existence of conjugate points for second and fourth order diffeгential equations.Proc. Roy. Soc. Edinburgh 89A (1981), 281-291.
Reference: [9] W. T. Reid: Sturmian Theory for Ordinary Differential Equations.Springer-Verlag, New York-Berlin-Heidelberg 1980. Zbl 0459.34001, MR 0606199
Reference: [10] C. A. Swanson: Соmpаriѕоn аnd Oѕcillаtiоn Theоry оf Lineаr Differentiаl Equаtiоnѕ.Аcаd. Preѕѕ, New Yоrk 1968.
Reference: [11] E. C. Tomastik: Ѕingulаr quаdrаtic functiоnаl оf n dependent vаriаbleѕ.Trаnѕ. Аmer. Mаth. Ѕоc. 124 (1966), 60-76. MR 0196556
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