Oscillation theorems for third order nonlinear differential equations

Anton Škerlík

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 4, page 471-484
  • ISSN: 0139-9918

How to cite

top

Škerlík, Anton. "Oscillation theorems for third order nonlinear differential equations." Mathematica Slovaca 42.4 (1992): 471-484. <http://eudml.org/doc/31889>.

@article{Škerlík1992,
author = {Škerlík, Anton},
journal = {Mathematica Slovaca},
keywords = {property ; oscillation; asymptotic behaviour; nonlinear third order equation},
language = {eng},
number = {4},
pages = {471-484},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillation theorems for third order nonlinear differential equations},
url = {http://eudml.org/doc/31889},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Škerlík, Anton
TI - Oscillation theorems for third order nonlinear differential equations
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 4
SP - 471
EP - 484
LA - eng
KW - property ; oscillation; asymptotic behaviour; nonlinear third order equation
UR - http://eudml.org/doc/31889
ER -

References

top
  1. COPPEL W. A., Disconjugacy, Vol. 220, Springer-Verlag, Berlin-Heidelberg-New York, 1971. (1971) Zbl0224.34003MR0460785
  2. ERBE L., Oscillation, nonoscillation and asymptotic behavior for third order nonlinear differential equations, Ann. Mat. Pura Appl. 110 (1976), 373-391. (1976) Zbl0345.34023MR0427738
  3. HEIDEL J. W., Qualitative behavior of solutions of a third order nonlinear differential equation, Pacific J. Math. 27 (1968), 507-526. (1968) Zbl0172.11703MR0240389
  4. LAZER A. C., The behavior of solutions of the differential equation y'''+p(x)y'+q(x)y=0, Pacific J. Math. 17 (1966), 435-466. (1966) Zbl0143.31501MR0193332
  5. OHRISKA J., On the oscillation a linear differential equation of second order, Czechoslovak Math. J. 39(114) (1989), 16-23. (1989) MR0983480
  6. PHILOS, CH. G., Oscillation and asymptotic behavior of third order linear differential equations, Bull. Inst. Math. Acad. Sinica 11 (1983), 141-160. (1983) Zbl0523.34028MR0723022
  7. PHILOS, CH. G., SFICAS Y. G., Oscillatory and asymptotic behavior of second and third order retarded differential equations, Czechoslovak Math. J. 32(107) (1982), 169-182. (1982) Zbl0507.34062MR0654054
  8. RAO V. S. H., DAHIYA R. S., Properties of solutions of a class of third-order linear differential equations, Period. Math. Hungar. 20(3) (1989), 177-184. (1989) Zbl0705.34032MR1028955
  9. SEMAN J., Oscillation and Asymptotic Properties of Solutions of Differential Equations with Deviating Argument, (Slovak) Dissertation, Department of Mathematics and Physics VŠT, Prešov, 1988. (1988) 
  10. SEMAN J., Oscillation theorems for second order delay inequalities, Math. Slovaca 39 (1989), 313-322. (1989) MR1016348
  11. SINGH Y. P., Some oscillation theorems for third order nonlinear differential equations, Yokohama Math. J. 18 (1970), 77-86. (1970) MR0283300
  12. SWANSON C. A., Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New.York-London, 1968. (1968) Zbl0191.09904MR0463570
  13. ŠEDA V., Nonoscilatory solutions of differential equations with deviating argument, Czechoslovak Math. J. 36(111) (1986), 93-107. (1986) MR0822871
  14. ŠKERLÍK A., Oscillatory properties of solutions of a third-order nonlinear differential equation, (Slovak) In: Zborník ved. prác VŠT v Košiciach, 1987, pp. 365-375. (1987) 
  15. ŠOLTÉS V., Oscillatory properties of solutions of a third order nonlinear differential equation, (Russian), Math. Slovaca 26 (1976), 217-227. (1976) 
  16. ŠVIDROŇOVA E., ŠOLTÉS P., SEILER J., Oscillatory properties of solutions of the third-order nonlinear differential equation, (Slovak) In: Zborník ved. prác VŠT v Košiciach, 1982, pp. 33-44. (1982) 
  17. WALTMAN P., Oscillation criteria for third order nonlinear differential equations, Pacific J. Math. 18 (1966), 386-389. (1966) Zbl0144.11403MR0200531
  18. WONG J. S. W., On the generalized Emden-Fowler equation, SIAM Rev. 17 (1975), 339-360. (1975) Zbl0295.34026MR0367368

Citations in EuDML Documents

top
  1. Monika Sobalová, Asymptotic behaviour of nonoscillatory solutions of the fourth order differential equations
  2. Vincent Šoltés, Property (A) of the n -th order differential equations with deviating argument
  3. Anton Škerlík, An integral condition of oscillation for equation y ' ' ' + p ( t ) y ' + q ( t ) y = 0 with nonnegative coefficients
  4. Ravi P. Agarwal, Mustafa F. Aktas, Aydın Tiryaki, On oscillation criteria for third order nonlinear delay differential equations
  5. Anton Škerlík, Criteria of property A for third order superlinear differential equations
  6. Jozef Džurina, Property ( A ) of third order differential equations with deviating argument

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.