| Title:
|
Oscillation criteria of third-order nonlinear delay differential equations (English) |
| Author:
|
Saker, Samir H. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
433-450 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K11 |
| idZBL:
|
Zbl 1141.34040 |
| idMR:
|
MR2267765 |
| . |
| Date available:
|
2009-09-25T14:33:57Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131013 |
| . |
| Reference:
|
[1] AGARWAL R. P.-GRACE S. R.-O'REGAN D.: Oscillation Theory for Difference and Functional Differential Equations.Kluwer Acad. PubL, Drdrechet, 2000. Zbl 0954.34002, MR 2087595 |
| Reference:
|
[2] BAINOV D. D.-MISHEV D. P.: Oscillation Theory for Neutral Differential Equations with Delay.Adam Hilger, New York, 1991. Zbl 0747.34037, MR 1147908 |
| Reference:
|
[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. MR 1784252 |
| Reference:
|
[4] DZURINA J.: Asymptotic properties of third order delay differential equations.Czechoslovak Math. J. 45(120) (1995), 443-448. Zbl 0842.34073, MR 1344509 |
| Reference:
|
[5] DZURINA J.: Property (A) of the third order differential equations with deviating arguments.Math. Slovaca 45 (1995), 395-402. MR 1387056 |
| Reference:
|
[6] GYORI I.-LADAS G.: Oscillation Theory of Delay Differential Equations with Applications.Clarendon Press, Oxford, 1991. MR 1168471 |
| Reference:
|
[7] KAMENEV I. V.: Integral criterion for oscillation of linear differential equations of second order.Mat. Zemetki 23 (1978), 249-251. (Russian) Zbl 0408.34031, MR 0486798 |
| Reference:
|
[8] KIGURADZE I. T.-CHATURIA T. A.: Asymptotic Properties of Solutions of Nonatunomous Ordinary Differential Equations.Kluwer Acad. PubL, Drodrcht, 1993. MR 1220223 |
| Reference:
|
[9] LADDE G. S.-LAKSHMIKANTHAM V.-ZHANG B. Z.: Oscillation Theory of Differential Equations with Deviating Arguments.Marcel Dekker, New York, 1987. Zbl 0832.34071, MR 1017244 |
| Reference:
|
[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. Zbl 0721.34025, MR 1019279 |
| Reference:
|
[11] PARHI N.-DAS. P.: Oscillation criteria for a class of nonlinear differential equations of third order.Ann. Polon. Math. 57 (1992), 219-229. Zbl 0771.34024, MR 1201849 |
| Reference:
|
[12] PARHI N.-DAS P.: Oscillation and nonosdilation of nonhomogeneous third order differential equations.Czechoslovak Math. J. 44 (1994), 443-459. MR 1288164 |
| Reference:
|
[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. Zbl 0973.34023, MR 1679638 |
| Reference:
|
[14] PARHI N.-DAS P.: On asymptotic behavior of delay-differential equations of third order.Nonlinear Anal. 34 (1998), 391-403. Zbl 0935.34063, MR 1635717 |
| Reference:
|
[15] PARHI N.-DAS P.: Asymptotic behavior of a class of third order delay differential equations.Math. Slovaca 50 (2000), 315-333. |
| Reference:
|
[16] PHILOS, CH. G.: Oscillation theorems for linear differential equation of second order.Arch. Math. (Basel) 53 (1989), 483-492. MR 1019162 |
| Reference:
|
[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. MR 2020469 |
| Reference:
|
[18] ŠKERLÍK A.: An integral condition of oscillation for equation y'''(t) + p(t)y'(t) + q(t)y(t) = 0$ with nonnegative coefficients.Arch. Math. (Brno) 31 (1995), 155-161. MR 1357983 |
| Reference:
|
[19] ŠKERLÍK A.: Integral criteria of oscillation for a third order linear differential equations.Math. Slovaca 45 (1995), 403-412. MR 1387057 |
| Reference:
|
[20] YAN J.: A note on an oscillation criterion for an equation with damped term.Proc. Amer. Math. Soc. 90 (1984), 277-280. Zbl 0542.34028, MR 0727249 |
| Reference:
|
[21] YAN J.: Oscillation theorems for second order linear differential equations with damping.Proc. Amer. Math. Soc 98 (1986), 276-282. Zbl 0622.34027, MR 0854033 |
| . |
