| Title:
|
Liapunov-type inequality for delay-differential equations of third order (English) |
| Author:
|
Parhi, N. |
| Author:
|
Panigrahi, S. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
385-399 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A Liapunov-type inequality for a class of third order delay-differential equations is derived. (English) |
| Keyword:
|
Liapunov-type inequality |
| Keyword:
|
oscillatory solution |
| Keyword:
|
third order delay-differential equation |
| MSC:
|
34C10 |
| MSC:
|
34K11 |
| MSC:
|
34K20 |
| idZBL:
|
Zbl 1023.34069 |
| idMR:
|
MR1905446 |
| . |
| Date available:
|
2009-09-24T10:52:12Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127727 |
| . |
| Reference:
|
[1] R. S. Dahiya and B. Singh: A Liapunov inequality and nonoscillation theorem for a second order nonlinear differential-difference equation.J. Math. Phys. Sci. 7 (1973), 163–170. MR 0350151 |
| Reference:
|
[2] S. B. Eliason: A Liapunov inequality for a certain second order nonlinear differential equation.J. London Math. Soc. 2 (1970), 461–466. MR 0267191, 10.1112/jlms/2.Part_3.461 |
| Reference:
|
[3] S. B. Eliason: Liapunov-type inequalities for certain second order functional differential equations.SIAM J. Appl. Math. 27 (1974), 180–199. MR 0350152, 10.1137/0127015 |
| Reference:
|
[4] S. B. Eliason: Distance between zeros of certain differential equations having delayed arguments.Ann. Mat. Pura Appl. 106 (1975), 273–291. Zbl 0316.34081, MR 0412558, 10.1007/BF02415034 |
| Reference:
|
[5] P. Hartman: Ordinary Differential Equations.Wiley, New York, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[6] B. G. Pachpatte: On Liapunov-type inequalities for certain higher order differential equations.J. Math. Anal. Appl. 195 (1995), 527–536. MR 1354560, 10.1006/jmaa.1995.1372 |
| Reference:
|
[7] N. Parhi and S. Panigrahi: On Liapunov-type inequality for third order differential equations.J. Math. Anal. Appl. 233 (1999), 445–460. MR 1689641, 10.1006/jmaa.1999.6265 |
| Reference:
|
[8] W. T. Patula: On the distance between zeros.Proc. Amer. Math. Soc. 52 (1975), 247–251. MR 0379986, 10.1090/S0002-9939-1975-0379986-5 |
| . |
