| Title:
|
Oscillation in second order linear delay differential equations with nonlinear impulses (English) |
| Author:
|
He, Zhimin |
| Author:
|
Ge, Weigao |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
331-341 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K11 |
| MSC:
|
34K45 |
| idZBL:
|
Zbl 1019.34066 |
| idMR:
|
MR1936338 |
| . |
| Date available:
|
2009-09-25T14:08:54Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128955 |
| . |
| Reference:
|
[1] LAKSHMIKANTHAM V.-BAINOV D. D.-SIMEONOV P. S.: Theory of Impulsive Differential Equations.World Scientific, Singapore, 1989. Zbl 0719.34002, MR 1082551 |
| Reference:
|
[2] GYORI I.-LADAS G.: Oscillation Theory of Delay Dгfferential Equations with Aplications.Clarendon Press, Oxford, 1991. MR 1168471 |
| Reference:
|
[3] ERBE L. H.-KONG Q. K.-ZHANG B. G.: Oscillation Theory for Functional Differential Equations.Pure Appl. Math., Marcel Dekker 190, Marcel Dekker, Inc, New York, 1994. MR 1309905 |
| Reference:
|
[4] GOPALSAMY K.-ZHANG B. G. : On delay differential equations with impulses.J. Math. Anal. Appl. 139 (1989), 110-122. Zbl 0687.34065, MR 0991929 |
| Reference:
|
[5] CHEN M. P.-YU J. S.-SHEN J. H.: The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations.Computers Math. Appl. 27 (1994), 1-6. Zbl 0806.34060, MR 1270770 |
| Reference:
|
[6] SHEN J. H.: The nonoscillatory solutions of delay differential equations wгth impulses.Appl. Math. Math. Comput. 77 (1996), 153-165. MR 1392297 |
| Reference:
|
[7] ZHANG Y. Z.-ZHAO A. M.-YAN J. R.: Oscillation criteria for impulsive differential equations.J. Math. Anal. Appl. 205 (1997), 461-470. MR 1428360 |
| Reference:
|
[8] DOMOSHNITSKY A.-DRAKHLIN M.: Nonoscillation of first order impulsive differential equations with delay.J. Math. Anal. Appl. 206 (1997), 254-269. MR 1429290 |
| Reference:
|
[9] BAINOV D.-DIMITROVA M.-DISHLIEV A.: Necessary and sufficient conditions for existence of nonoscillatory solutions of impulsive differential equations of second order with retarded argument.Appl. Anal. 63 (1996), 287-297. MR 1624040 |
| Reference:
|
[10] BAINOV D.-DIMITROVA M.: Oscillation of sub- and superlinear impulsive differential equations with constant delay.Appl. Anal. 64 (1997), 57-67. Zbl 0879.34068, MR 1460072 |
| Reference:
|
[11] CHEN Y. S.-FENG W. Z.: Oscillations of second order nonlinear ODE with impulses.J. Math. Anal. Appl. 210 (1997), 150-169. MR 1449514 |
| Reference:
|
[12] HUANG C. C.: Oscillation and nonoscillation for second order linear impulsive differential equations.J. Math. Anal. Appl. 214 (1997), 378-394. Zbl 0895.34031, MR 1475576 |
| Reference:
|
[13] KUNG, GEORGE C. T.: Oscillation and nonoscillation of differential equations with a time lag.SIAM J. Appl Math. 21 (1971), 207-213. Zbl 0245.34057, MR 0310389 |
| . |
