| Title:
|
On the oscillation of some impulsive parabolic equations with several delays (English) |
| Author:
|
Atmania, R. |
| Author:
|
Mazouzi, S. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
2011 |
| Pages:
|
217-228 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, several oscillation criteria are established for some nonlinear impulsive functional parabolic equations with several delays subject to boundary conditions. We shall mainly use the divergence theorem and some corresponding impulsive delayed differential inequalities. (English) |
| Keyword:
|
impulsive condition |
| Keyword:
|
delayed parabolic equation |
| Keyword:
|
oscillation |
| Keyword:
|
divergence theorem |
| Keyword:
|
impulsive differential inequality |
| MSC:
|
35B05 |
| MSC:
|
35K61 |
| MSC:
|
35R12 |
| idZBL:
|
Zbl 1249.35333 |
| idMR:
|
MR2852382 |
| . |
| Date available:
|
2011-11-11T08:52:53Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141708 |
| . |
| Reference:
|
[1] Bainov, D., Minchev, E.: Trends in theory of impulsive partial differential equations.Nonlinear World 3 (3) (1996), 357–384. MR 1411360 |
| Reference:
|
[2] Bainov, D., Minchev, E.: Forced oscillations of solutions of impulsive nonlinear parabolic differential-difference equations.J. Korean Math. Soc. 35 (4) (1998), 881–890. Zbl 0922.35183, MR 1666462 |
| Reference:
|
[3] Cui, B., Deng, F. Q., Li, W. N., Liu, Y. Q.: Oscillation problems for delay parabolic systems with impulses.Dyn. Contin. Discrete Impuls Syst. Ser. A Math. Anal. 12 (2005), 67–76. MR 2099905 |
| Reference:
|
[4] Fu, X., Liu, X.: Oscillation criteria for impulsive hyperbolic systems.Dynam. Contin. Discrete Impuls. Systems 3 (2) (1997), 225–244. Zbl 0927.34008, MR 1448781 |
| Reference:
|
[5] Fu, X., Liu, X., Sivaloganathan, S.: Oscillation criteria for impulsive parabolic differential equations with delay.J. Math. Anal. Appl. 268 (2002), 647–664. Zbl 1160.35429, MR 1896220, 10.1006/jmaa.2001.7840 |
| Reference:
|
[6] Liu, A., Xiao, L., Liu, T.: Oscillation of nonlinear impulsive hyperbolic equations with several delays.Electron. J. Differential Equations 2004 (24) (2004), 1–6. Zbl 1060.35153, MR 2036208 |
| . |
