Oscillation criteria for fourth-order linear differential equations

Ján Regenda

Mathematica Slovaca (1979)

  • Volume: 29, Issue: 1, page 3-16
  • ISSN: 0139-9918

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Regenda, Ján. "Oscillation criteria for fourth-order linear differential equations." Mathematica Slovaca 29.1 (1979): 3-16. <http://eudml.org/doc/34046>.

@article{Regenda1979,
author = {Regenda, Ján},
journal = {Mathematica Slovaca},
keywords = {Oscillation of Solutions; Linear Differential Equation of Fourth Order; Oscillation Criteria},
language = {eng},
number = {1},
pages = {3-16},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillation criteria for fourth-order linear differential equations},
url = {http://eudml.org/doc/34046},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Regenda, Ján
TI - Oscillation criteria for fourth-order linear differential equations
JO - Mathematica Slovaca
PY - 1979
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 29
IS - 1
SP - 3
EP - 16
LA - eng
KW - Oscillation of Solutions; Linear Differential Equation of Fourth Order; Oscillation Criteria
UR - http://eudml.org/doc/34046
ER -

References

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  1. AHMAD SHAIR, On the oscillation of solutions of a class of linear fourth ordeг differential equations, Pac. J. Math., 34, 1970. (1970) MR0268455
  2. HEIDEL J. W., Qualitative behavior of solutions of a third order nonlinear differential equation, Pac. J. Math., 27, 1968. (1968) Zbl0172.11703MR0240389
  3. GERA M., Nichtoszillatorische und oszillatorische Differentialgleichungen dгitter Ordnung, Čas. Pěst. Mat., 96, 1971. (1971) MR0291556
  4. KONDRATEV V. A., O koleblemosti rešenij linejnych differencialnych uravnenij tretiego i četvertogo poriadkov, DAN SSR, 118, 1958. (1958) MR0093622
  5. KONDRATEV V. A., O koleblemosti rešenij linejnych uravnenij tretiego i četvertogo poriadkov, Trudy moskovskogo mat. obšč., 8, 1959. (1959) MR0104877
  6. LAZER A. C, The behaviour of sofutions of the differential equation y'" + p(t)y' + q(t)y = 0, Pac. J. Math., 17, 1966. (1966) MR0193332
  7. LEIGHTON W., NEHARI Z., On the oscillation of solutions of self-adjoint linear differential equations of the fourth order, Trans. Amer. Math. Soc., 89, 1958. (1958) MR0102639
  8. PUDEI V., Über die Eigenschaften der Lösungen linearer Differentialgleichungen gerader Ordnung, Čas. Pěst. Mat., 94, 1969. (1969) Zbl0193.04401MR0273112
  9. REGENDA J., On somе propеrtiеs of thiгd- ordег diffегеntial еquation, Math. slov., 26, 1976. (1976) MR0427742
  10. REGENDA J., Oscillation and nonoscillation propегtiеs of thе solutions of thе diffеrеntial еquation y(4) + P(t)У'' + Q(t)y = 0, Math. slov., (to appеar). 
  11. ROVDER J., Oscillation critеria for third-ordеr linеar diffеrеntial еquations, Mat. Čas., 25, 1975. (1975) MR0412521

Citations in EuDML Documents

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  1. Ján Regenda, Oscillation theorems for a class of linear fourth order differential equations
  2. Ján Regenda, A note on oscillation and nonoscillation criteria for fourth order linear differential equations
  3. Ján Regenda, Oscillation criteria for differential equation y ( 4 ) + P ( t ) y ' ' + R ( t ) y ' + Q ( t ) y = 0
  4. Oleg Palumbíny, On oscillation criteria of fourth order linear differential equations
  5. Oleg Palumbíny, On oscillatory solutions of fourth order ordinary differential equations

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