Title:
|
Oscillation of solutions to neutral delay differential equations (English) |
Author:
|
Kubiaczyk, Ireneusz |
Author:
|
Saker, Samir H. |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
52 |
Issue:
|
3 |
Year:
|
2002 |
Pages:
|
343-359 |
. |
Category:
|
math |
. |
MSC:
|
34K11 |
MSC:
|
34K40 |
idZBL:
|
Zbl 1019.34067 |
idMR:
|
MR1936339 |
. |
Date available:
|
2009-09-25T14:09:01Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129808 |
. |
Reference:
|
[1] AGARWAL R. P.-GRACE S. R.-O'REGAN D.: Oscillation Theory for Difference and Functional Differential Equations.Kluwer, Dordrechet, 2000. Zbl 0954.34002 |
Reference:
|
[2] AGARWAL R. P.-GRACE S. R- O'REGAN D.: Oscillation Theory for Second Order Dynamic Equations.(To appear). |
Reference:
|
[3] 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:
|
[4] BOE E.- CHANG H. C: Dynamics of delayed systems under feedback control.Chem. Engin. Sci. 44 (1989), 1281-1294. |
Reference:
|
[5] BRAYTON R. K.-WILLOUHBY R. A.: On the numerical integration of a symmetric system of difference-differential equations of neutral type.J. Math. Anal. Appl. 18 (1976), 182-189. MR 0213061 |
Reference:
|
[6] CHEN M. P.- YU J. S.-HUANG L. H.: Oscillations of first order neutral differential equations with variable coefficients.J. Math. Anal. Appl. 185 (1994), 288-301. Zbl 0807.34081, MR 1283058 |
Reference:
|
[7] CHUANXI Q.-LADAS G.: Oscillation of first-order neutral equations with variable coefficients.Mh. Math. 109 (1990), 103-111. MR 1048299 |
Reference:
|
[8] DRIVER D. R.: A mixed neutral systems.Nonlinear Anal. 8 (1984), 155-158. MR 0734448 |
Reference:
|
[9] ELBERT A.-STAVROULAKIS I. P.: Oscillation and non-oscillation criteria for delay differential equations.Proc. Amer. Math. Sco. 124 (1995), 1503-1511. MR 1242082 |
Reference:
|
[10] ELBERT A.-STAVROULAKIS I. P.: Oscillations of first order differential equations with deviating arguments.In: Recent Trends in Differential Equations. World Sci. Ser. Appl. Anal. 1, World Sci. Publishing, Singapore, 1992, pp. 163-178. Zbl 0832.34064, MR 1180110 |
Reference:
|
[11] ERBE L. H.- KONG Q.-ZHANG B. G.: Oscillation Theory for Functional Differential Equations.Marcel Dekker, New York, 1995. MR 1309905 |
Reference:
|
[12] GRAMMATIKOPOULOS M. K.-SFICAS Y. G.-LADAS G.: Oscillation and asymptotic behavior of neutral differential equations with deviating argument.Appl. Anal. 22 (1986), 1-19. MR 0854537 |
Reference:
|
[13] GRAMMATIKOPOULOS M. K.-SFICAS Y. G.-LADAS G.: Oscillation and asymptotic behavior of neutral equations with variable coefficients.Rad. Mat. 2 (1986), 279-303. Zbl 0617.34067, MR 0873703 |
Reference:
|
[14] GRAMMATIKOPOULOS M. K.-GROVE E. A.-LADAS G.: Oscillation of first-order neutral delay differential equations.J. Math. Anal. Appl. 120 (1986), 510-520. MR 0864767 |
Reference:
|
[15] GYORI I.-LADAS G.: Oscillation Theory of Delay Differential Equations With Applications.Clarendon Press, Oxford, 1991. MR 1168471 |
Reference:
|
[16] HALE J. K.: Theory of Functional Differential Equations.Springer-Verlag, New York, 1977. Zbl 0352.34001, MR 0508721 |
Reference:
|
[17] JAROS J.-STAVROULAKIS I. P.: Oscillation tests for delay equations.Rocky Mountain J. Math. 29 (1999), 1-11. Zbl 0938.34062, MR 1687662 |
Reference:
|
[18] KWONG M. K.: Oscillation of first order delay equations.J. Math. Anal. Appl. 159 (1991), 469-484. Zbl 0727.34064, MR 1102611 |
Reference:
|
[19] LADAS G.-SFICAS Y. G.: Oscillation of neutral delay differential equations.Canad. Math. Bull. 29 (1986), 438-445. MR 0860851 |
Reference:
|
[20] 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:
|
[21] LI B.: Oscillations of delay differential equations with variable coefficients.J. Math. Anal. Appl. 192 (1995), 312-321. MR 1329426 |
Reference:
|
[22] LI B.: Oscillation of first order delay differential equations.Proc. Amer. Math. Soc. 124 (1996), 3729-3737. Zbl 0865.34057, MR 1363175 |
Reference:
|
[23] POPOV E. P.: Automatic Regulation and Control.Nauka, Moscow, 1966. (Russian) |
Reference:
|
[24] TANG X. H.-SHEN J. H.: Oscillations of delay differential equations with variable coefficients.J. Math. Anal. Appl. 217 (1998), 32-42. Zbl 0893.34065, MR 1492078 |
Reference:
|
[25] YU J. S.-WANG Z. C.-CHUANXI Q.: Oscillation of neutral equations.Bull. Austral. Math. Soc. 145 (1992), 195-120. MR 1155477 |
Reference:
|
[26] ZAHARIEV A. I.-BAINOV D. D.: Oscillating properties of the solution of a class of neutral type functional differential equations.Bull. Austral. Math. Soc. 22 (1980), 365-372. MR 0601643 |
Reference:
|
[27] ZHANG B. G.: Oscillation of first order neutral functional differential equations.J. Math. Anal. Appl. 139 (1989), 311-318. Zbl 0683.34037, MR 0996960 |
. |