On oscillation criteria for self-adjoint linear differential equation of the fourth order

Ondřej Došlý; Jan Osička

Časopis pro pěstování matematiky (1990)

  • Volume: 115, Issue: 4, page 351-359
  • ISSN: 0528-2195

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Došlý, Ondřej, and Osička, Jan. "On oscillation criteria for self-adjoint linear differential equation of the fourth order." Časopis pro pěstování matematiky 115.4 (1990): 351-359. <http://eudml.org/doc/21779>.

@article{Došlý1990,
author = {Došlý, Ondřej, Osička, Jan},
journal = {Časopis pro pěstování matematiky},
keywords = {selfadjoint differential equation; oscillatory},
language = {eng},
number = {4},
pages = {351-359},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On oscillation criteria for self-adjoint linear differential equation of the fourth order},
url = {http://eudml.org/doc/21779},
volume = {115},
year = {1990},
}

TY - JOUR
AU - Došlý, Ondřej
AU - Osička, Jan
TI - On oscillation criteria for self-adjoint linear differential equation of the fourth order
JO - Časopis pro pěstování matematiky
PY - 1990
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 115
IS - 4
SP - 351
EP - 359
LA - eng
KW - selfadjoint differential equation; oscillatory
UR - http://eudml.org/doc/21779
ER -

References

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  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. (1981) MR0618771
  2. J. H. Barrett, Oscillation theoгy of ordinary linear differential equations, Adv. in Math. 3 (1969), 415-509. (1969) MR0257462
  3. W. A. Coppel, Disconjugacy, Lecture Notes in Math. No 220, Springer-Verlag, Berlin-Heidelberg 1971. (1971) Zbl0224.34003MR0460785
  4. I. M. Glazman, Direct Мethods of Qualitative Spectral Analysis of Singular Differential Operators, Davey, Јerusalem 1965. (1965) MR0190800
  5. D. B. Hinton R. T. Lewis, Oscillation theory at a finite singularity, Ј. Diff. Equations 30 (1978), 235-247. (1978) MR0513271
  6. K. Kreith, Oscillation Theory, Lecture Notes in Math. No 324, Springer-Verlag, Nex Yrok 1973. (1973) Zbl0258.35001
  7. R. T. Lewis, Oscillation and nonoscillation criteria for some self-adjoint even order differential operators, Pacific Ј. Math. 51 (1974), 221-234. (1974) MR0350112
  8. E. Müller-Pfeiffer, Existence of conjugate points for second and fourth order diffeгential equations, Proc. Roy. Soc. Edinburgh 89A (1981), 281-291. (1981) 
  9. W. T. Reid, Sturmian Theory for Ordinary Differential Equations, Springer-Verlag, New York-Berlin-Heidelberg 1980. (1980) Zbl0459.34001MR0606199
  10. C. A. Swanson, Соmpаriѕоn аnd Oѕcillаtiоn Theоry оf Lineаr Differentiаl Equаtiоnѕ, Аcаd. Preѕѕ, New Yоrk 1968. (1968) 
  11. E. C. Tomastik, Ѕingulаr quаdrаtic functiоnаl оf n dependent vаriаbleѕ, Trаnѕ. Аmer. Mаth. Ѕоc. 124 (1966), 60-76. (1966) MR0196556

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