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:
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English |
Journal:
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Časopis pro pěstování matematiky |
ISSN:
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0528-2195 |
Volume:
|
115 |
Issue:
|
4 |
Year:
|
1990 |
Pages:
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351-359 |
Summary lang:
|
English |
Summary lang:
|
Czech |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
34C10 |
idZBL:
|
Zbl 0719.34055 |
idMR:
|
MR1090859 |
DOI:
|
10.21136/CPM.1990.118413 |
. |
Date available:
|
2009-09-23T09:59:56Z |
Last updated:
|
2020-07-29 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/118413 |
. |
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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