Oscillation criteria of third-order nonlinear delay differential equations

Samir H. Saker

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 4, page 433-450
  • ISSN: 0139-9918

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Saker, Samir H.. "Oscillation criteria of third-order nonlinear delay differential equations." Mathematica Slovaca 56.4 (2006): 433-450. <http://eudml.org/doc/32119>.

@article{Saker2006,
author = {Saker, Samir H.},
journal = {Mathematica Slovaca},
keywords = {oscillation; Kamenev-type criteria},
language = {eng},
number = {4},
pages = {433-450},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillation criteria of third-order nonlinear delay differential equations},
url = {http://eudml.org/doc/32119},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Saker, Samir H.
TI - Oscillation criteria of third-order nonlinear delay differential equations
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 4
SP - 433
EP - 450
LA - eng
KW - oscillation; Kamenev-type criteria
UR - http://eudml.org/doc/32119
ER -

References

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  1. AGARWAL R. P.-GRACE S. R.-O'REGAN D., Oscillation Theory for Difference and Functional Differential Equations, Kluwer Acad. PubL, Drdrechet, 2000. Zbl0954.34002MR2087595
  2. BAINOV D. D.-MISHEV D. P., Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, New York, 1991. (1991) Zbl0747.34037MR1147908
  3. BARTUŠEK M., On oscillatory solutions of third order differential equations with quasiderivatives, (Forth Mississippi Conf. Diff. Eqns. and Comp. Simulation), Electron. J. Differential Equations 1999 (1999), 1-11. (1999) MR1784252
  4. DZURINA J., Asymptotic properties of third order delay differential equations, Czechoslovak Math. J. 45(120) (1995), 443-448. (1995) Zbl0842.34073MR1344509
  5. DZURINA J., Property (A) of the third order differential equations with deviating arguments, Math. Slovaca 45 (1995), 395-402. (1995) MR1387056
  6. GYORI I.-LADAS G., Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991. (1991) MR1168471
  7. KAMENEV I. V., Integral criterion for oscillation of linear differential equations of second order, Mat. Zemetki 23 (1978), 249-251. (Russian) (1978) Zbl0408.34031MR0486798
  8. KIGURADZE I. T.-CHATURIA T. A., Asymptotic Properties of Solutions of Nonatunomous Ordinary Differential Equations, Kluwer Acad. PubL, Drodrcht, 1993. (1993) MR1220223
  9. LADDE G. S.-LAKSHMIKANTHAM V.-ZHANG B. Z., Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987. (1987) Zbl0832.34071MR1017244
  10. PARHI N.-DAS P., Asymptotic property of solutions of a class of third-order differential equations, Proc. Amer. Math. Soc. 110 (1990), 387-393. (1990) Zbl0721.34025MR1019279
  11. PARHI N.-DAS. P., Oscillation criteria for a class of nonlinear differential equations of third order, Ann. Polon. Math. 57 (1992), 219-229. (1992) Zbl0771.34024MR1201849
  12. PARHI N.-DAS P., Oscillation and nonosdilation of nonhomogeneous third order differential equations, Czechoslovak Math. J. 44 (1994), 443-459. (1994) MR1288164
  13. PARHI N.-DAS P., On the oscillation of a class of linear homogeneous third order differential equations, Arch. Math. (Brno) 34 (1998), 435-443. (1998) Zbl0973.34023MR1679638
  14. PARHI N.-DAS P., On asymptotic behavior of delay-differential equations of third order, Nonlinear Anal. 34 (1998), 391-403. (1998) Zbl0935.34063MR1635717
  15. PARHI N.-DAS P., Asymptotic behavior of a class of third order delay differential equations, Math. Slovaca 50 (2000), 315-333. 
  16. PHILOS, CH. G., Oscillation theorems for linear differential equation of second order, Arch. Math. (Basel) 53 (1989), 483-492. (1989) MR1019162
  17. SAKER S. H.-PANG P. Y. H.-AGARWAL R. P., Oscillation theorems for second order functional differential equations with damping, Dyn. Syst. Appl. 12 (2003), 307-322. MR2020469
  18. ŠKERLÍK A., [unknown], Arch. Math. (Brno) 31 (1995), 155-161. (1995) MR1357983
  19. ŠKERLÍK A., Integral criteria of oscillation for a third order linear differential equations, Math. Slovaca 45 (1995), 403-412. (1995) MR1387057
  20. YAN J., A note on an oscillation criterion for an equation with damped term, Proc. Amer. Math. Soc. 90 (1984), 277-280. (1984) Zbl0542.34028MR0727249
  21. YAN J., Oscillation theorems for second order linear differential equations with damping, Proc. Amer. Math. Soc 98 (1986), 276-282. (1986) Zbl0622.34027MR0854033

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