| Title:
|
Asymptotic behavior of solutions of third order delay differential equations (English) |
| Author:
|
Cecchi, M. |
| Author:
|
Došlá, Zuzana |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
99-108 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give an equivalence criterion on property A and property B for delay third order linear differential equations. We also give comparison results on properties A and B between linear and nonlinear equations, whereby we only suppose that nonlinearity has superlinear growth near infinity. (English) |
| Keyword:
|
delay differential equation of third order |
| Keyword:
|
asymptotic properties of nonoscillatory solutions |
| Keyword:
|
properties A and B |
| Keyword:
|
comparison theorems |
| MSC:
|
34C10 |
| MSC:
|
34C20 |
| MSC:
|
34K11 |
| MSC:
|
34K25 |
| idZBL:
|
Zbl 0916.34059 |
| idMR:
|
MR1464304 |
| . |
| Date available:
|
2008-06-06T21:32:39Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107600 |
| . |
| Reference:
|
[1] Cecchi M., Došlá Z., Marini M., Villari G.: On the qualitative behavior of solutions of third order differential equations.J. Math. Anal. Appl 197 (1996), 749–766. MR 1373077 |
| Reference:
|
[2] Cecchi M., Došlá Z., Marini M.: Comparison theorems for third order differential equations.Proceeding of Dynamic Systems and Applications, Vol.2 (1996), 99–106. MR 1419517 |
| Reference:
|
[3] Cecchi M., Došlá Z., Marini M.: An equivalence theorem on properties A, B for thir order differential equations.to appear in Annali Mat. Pura Appl.. MR 1625588 |
| Reference:
|
[4] Cecchi M., Došlá Z., Marini M.: On nonlinear oscillations for equations associated to disconjugate operators.Proceeding of WCNA’96, Athens (1996). |
| Reference:
|
[5] Cecchi M., Marini M.: Oscillation results for Emden–Fowler type differential equations.to appear in JMAA. |
| Reference:
|
[6] Džurina J.: Asymptotic properties of $n-$th order differential equations with delayed argument.Math. Nachr. 171 (1995), 149–156. MR 1316355 |
| Reference:
|
[7] Erbe L.: Oscillation and asymptotic behavior of solutions of third order differential delay equations.SIAM J. Math. Anal. 7 (1976), 491–499. Zbl 0356.34086, MR 0433001 |
| Reference:
|
[8] Kiguradze I. T., Chanturia T.A.: Asymptotic properties of solutions of nonautonomous ordinary differential equations.Kluwer Academic Publishers, Dordrecht-Boston-London (1993). MR 1220223 |
| Reference:
|
[9] Koplatadze R.: On oscillatory properties of solutions of functional differential equations.Memoirs on Differential Eqs. and Math. Phys. 3 (1994). Zbl 0843.34070, MR 1375838 |
| Reference:
|
[10] Kusano T., Naito M.: Comparison theorems for functional differential equations with deviating arguments.J. Math. Soc. Japan 3 A (1981), 509–532. MR 0620288 |
| Reference:
|
[11] Mahfoud W.E.: Comparison theorems for delay differential equations.Pac. J. Math. 83 (1979), 187–197. Zbl 0441.34053, MR 0555047 |
| Reference:
|
[12] Philos Ch.G., Sficas Y.G.: Oscillatory and asymptotic behavior of second and third order retarded differential equations.Czech. Math. J. 32 (107) (1982), 169–182. MR 0654054 |
| Reference:
|
[13] Philos Ch.G., Sficas Y.G., Staikos V.A.: Some results on the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments.J. Austral. Math. Soc. 32 (1982), . MR 0652407 |
| . |
